تكلم مع الذكاء الاصطناعي
Deck 12: Analysis of Variance
ملء الشاشة (f)
سؤال
سؤال
سؤال
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The degrees of freedom for the denominator of the F distribution are:
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The degrees of freedom for the denominator of the F distribution are:
سؤال
سؤال
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of MSB is:
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of MSB is:
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The degrees of freedom for the numerator of the F distribution are:
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The degrees of freedom for the numerator of the F distribution are:
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of MSW,rounded to three decimal places,is:
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of MSW,rounded to three decimal places,is:
سؤال
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of SSB,rounded to two decimal places,is:
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of SSB,rounded to two decimal places,is:
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of
is:
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of
is: سؤال
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of SSW is:
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of SSW is:
سؤال
سؤال
سؤال
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of
is:
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of
is: سؤال
سؤال
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The value of SSB,rounded to three decimal places,is:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The value of SSB,rounded to three decimal places,is:
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The degrees of freedom for the numerator of the F distribution are:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The degrees of freedom for the numerator of the F distribution are:
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The value of the test statistic F,rounded to three decimal places,is:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The value of the test statistic F,rounded to three decimal places,is:
سؤال
Use the following to answer questions :
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.
The value of MSW,rounded to three decimal places,is:
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.The value of MSW,rounded to three decimal places,is:
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of the test statistic F,rounded to three decimal places,is:
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of the test statistic F,rounded to three decimal places,is:
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The critical value of F is:
A)4.81
B)2.76
C)6.93
D)99.42
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The critical value of F is:
A)4.81
B)2.76
C)6.93
D)99.42
سؤال
Use the following to answer questions :
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.
The value of
is:
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.The value of
is: سؤال
Use the following to answer questions :
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.
The degrees of freedom for the denominator of the F distribution are:
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.The degrees of freedom for the denominator of the F distribution are:
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The degrees of freedom for the denominator of the F distribution are:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The degrees of freedom for the denominator of the F distribution are:
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The critical value of F is:
A)5.48
B)3.16
C)7.15
D)1.84
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The critical value of F is:
A)5.48
B)3.16
C)7.15
D)1.84
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The value of MSB,rounded to three decimal places,is:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The value of MSB,rounded to three decimal places,is:
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The value of
is:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The value of
is: سؤال
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The value of MSW,rounded to three decimal places,is:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The value of MSW,rounded to three decimal places,is:
سؤال
Use the following to answer questions :
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.
The value of SSB is:
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.The value of SSB is:
سؤال
Use the following to answer questions :
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.
The value of MSB is:
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.The value of MSB is:
سؤال
Use the following to answer questions :
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.
The degrees of freedom for the numerator of the F distribution are:
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.The degrees of freedom for the numerator of the F distribution are:
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The value of
is:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The value of
is: سؤال
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The value of SSW is:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The value of SSW is:
سؤال
Use the following to answer questions :
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.
The value of
is:
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.The value of
is: سؤال
Use the following to answer questions :
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.
The value of SSW is:
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.The value of SSW is:
سؤال
Use the following to answer questions :
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is
.
How many degrees of freedom are there for the between groups variation?
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is
.How many degrees of freedom are there for the between groups variation?
سؤال
سؤال
Use the following to answer questions :
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.
The degrees of freedom for the numerator of the F distribution are:
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.The degrees of freedom for the numerator of the F distribution are:
سؤال
Use the following to answer questions :
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is .
What is the value of the total sum of squares? Round your answer to one decimal place.
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is
.What is the value of the total sum of squares? Round your answer to one decimal place.
سؤال
Use the following to answer questions :
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.
What is the variance within samples,rounded to four decimal places?
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.What is the variance within samples,rounded to four decimal places?
سؤال
Use the following to answer questions :
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The degrees of freedom for the numerator of the F distribution are:
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The degrees of freedom for the numerator of the F distribution are:
سؤال
Use the following to answer questions :
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is .
How many degrees of freedom are there for the within groups variation?
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is
.How many degrees of freedom are there for the within groups variation?
سؤال
Use the following to answer questions :
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is .
How many data points were used in this analysis?
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is
.How many data points were used in this analysis?
سؤال
Use the following to answer questions :
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.
The value of the test statistic F,rounded to three decimal places,is:
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.The value of the test statistic F,rounded to three decimal places,is:
سؤال
Use the following to answer questions :
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is .
What is the value of the mean square within groups? Round your answer to three decimal places.
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is
.What is the value of the mean square within groups? Round your answer to three decimal places.
سؤال
Use the following to answer questions :
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.
The degrees of freedom for the denominator of the F distribution are:
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.The degrees of freedom for the denominator of the F distribution are:
سؤال
Use the following to answer questions :
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is .
What is the value of the mean square between groups? Round your answer to three decimal places.
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is
.What is the value of the mean square between groups? Round your answer to three decimal places.
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The value of the test statistic F,rounded to three decimal places,is:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The value of the test statistic F,rounded to three decimal places,is:
سؤال
Use the following to answer questions :
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.
The value of SSB,rounded to four decimal places,is:
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.The value of SSB,rounded to four decimal places,is:
سؤال
Use the following to answer questions :
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The degrees of freedom for the denominator of the F distribution are:
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The degrees of freedom for the denominator of the F distribution are:
سؤال
Use the following to answer questions :
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of SSW,rounded to two decimal places,is:
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of SSW,rounded to two decimal places,is:
سؤال
Use the following to answer questions :
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of SSB is:
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of SSB is:
سؤال
سؤال
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The critical value of F is:
A)4.75
B)3.18
C)5.10
D)9.57
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The critical value of F is:
A)4.75
B)3.18
C)5.10
D)9.57
سؤال
Use the following to answer questions :
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of the test statistic F,rounded to three decimal places,is:
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of the test statistic F,rounded to three decimal places,is:
سؤال
سؤال
Use the following to answer questions :
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is .
What is the value of the test statistic F? Round your answer to three decimal places.
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is
.What is the value of the test statistic F? Round your answer to three decimal places.
فتح الحزمة
قم بالتسجيل لفتح البطاقات في هذه المجموعة!
Unlock Deck
Unlock Deck
1/62
العب
ملء الشاشة (f)
Deck 12: Analysis of Variance
1
We can use the analysis of variance procedure to test hypotheses about:
A)the mean of one population
B)the proportion of one population
C)two or more population proportions
D)two or more population means
A)the mean of one population
B)the proportion of one population
C)two or more population proportions
D)two or more population means
two or more population means
2
Which of the following is not a characteristic of an F distribution?
A)The F distribution is continuous and skewed to the right.
B)The F distribution has two numbers of degrees of freedom: degrees of freedom for the numerator and for the denominator.
C)The F distribution has two parameters: the mean and the standard deviation.
D)The units of an F distribution are always nonnegative.
A)The F distribution is continuous and skewed to the right.
B)The F distribution has two numbers of degrees of freedom: degrees of freedom for the numerator and for the denominator.
C)The F distribution has two parameters: the mean and the standard deviation.
D)The units of an F distribution are always nonnegative.
The F distribution has two parameters: the mean and the standard deviation.
3
To make tests of hypotheses about more than two population means,we use the:
A)t distribution
B)normal distribution
C)chi-square distribution
D)analysis of variance procedure
A)t distribution
B)normal distribution
C)chi-square distribution
D)analysis of variance procedure
analysis of variance procedure
4
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The degrees of freedom for the denominator of the F distribution are:
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The degrees of freedom for the denominator of the F distribution are:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
5
The F value for 25 degrees of freedom for the numerator,14 degrees of freedom for the denominator,and a .05 area in the right tail is:
A)2.78
B)2.34
C)3.19
D)1.87
A)2.78
B)2.34
C)3.19
D)1.87
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
6
The units of an F distribution:
A)are always negative
B)are always positive
C)are always nonnegative
D)can be negative,zero,or positive
A)are always negative
B)are always positive
C)are always nonnegative
D)can be negative,zero,or positive
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
7
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of MSB is:
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of MSB is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
8
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The degrees of freedom for the numerator of the F distribution are:
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The degrees of freedom for the numerator of the F distribution are:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
9
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of MSW,rounded to three decimal places,is:
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of MSW,rounded to three decimal places,is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
10
The F value for 9 degrees of freedom for the numerator,12 degrees of freedom for the denominator,and a .01 area in the right tail is:
A)2.80
B)5.11
C)4.74
D)4.39
A)2.80
B)5.11
C)4.74
D)4.39
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
11
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of SSB,rounded to two decimal places,is:
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of SSB,rounded to two decimal places,is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
12
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of is:
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of
is: فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
13
The parameters of the F distribution are:
A)the mean and the standard deviation
B)the sample size minus one and F
C)the degrees of freedom for the numerator and the degrees of freedom for the denominator
D)F and n,where n is the sample size
A)the mean and the standard deviation
B)the sample size minus one and F
C)the degrees of freedom for the numerator and the degrees of freedom for the denominator
D)F and n,where n is the sample size
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
14
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of SSW is:
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of SSW is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
15
The shape of the F distribution curve is:
A)skewed to the left
B)skewed to the right
C)symmetric
D)rectangular
A)skewed to the left
B)skewed to the right
C)symmetric
D)rectangular
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
16
To use an F distribution,the random variable must be:
A)a discrete random variable
B)a continuous random variable
C)a qualitative random variable
D)either a discrete or a continuous random variable
A)a discrete random variable
B)a continuous random variable
C)a qualitative random variable
D)either a discrete or a continuous random variable
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
17
A one-way ANOVA test:
A)is a left-tailed test
B)is a right-tailed test
C)is a two-tailed test
D)can be a two-tailed,a right-tailed,or a left-tailed test
A)is a left-tailed test
B)is a right-tailed test
C)is a two-tailed test
D)can be a two-tailed,a right-tailed,or a left-tailed test
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
18
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of is:
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of
is: فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
19
In a one-way ANOVA,we analyze only one:
A)mean
B)population
C)sample
D)variable
A)mean
B)population
C)sample
D)variable
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
20
Which of the following assumptions is not required to use ANOVA?
A)The populations from which the samples are drawn are (approximately)normally distributed.
B)The populations from which the samples are drawn have the same variance.
C)All samples are of the same size.
D)The samples drawn from different populations are random and independent.
A)The populations from which the samples are drawn are (approximately)normally distributed.
B)The populations from which the samples are drawn have the same variance.
C)All samples are of the same size.
D)The samples drawn from different populations are random and independent.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
21
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The value of SSB,rounded to three decimal places,is:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The value of SSB,rounded to three decimal places,is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
22
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The degrees of freedom for the numerator of the F distribution are:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The degrees of freedom for the numerator of the F distribution are:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
23
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The value of the test statistic F,rounded to three decimal places,is:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The value of the test statistic F,rounded to three decimal places,is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
24
Use the following to answer questions :
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.
The value of MSW,rounded to three decimal places,is:
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.The value of MSW,rounded to three decimal places,is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
25
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of the test statistic F,rounded to three decimal places,is:
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of the test statistic F,rounded to three decimal places,is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
26
Use the following to answer questions :
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The critical value of F is:
A)4.81
B)2.76
C)6.93
D)99.42
The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The critical value of F is:
A)4.81
B)2.76
C)6.93
D)99.42
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
27
Use the following to answer questions :
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.
The value of is:
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.The value of
is: فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
28
Use the following to answer questions :
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.
The degrees of freedom for the denominator of the F distribution are:
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.The degrees of freedom for the denominator of the F distribution are:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
29
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The degrees of freedom for the denominator of the F distribution are:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The degrees of freedom for the denominator of the F distribution are:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
30
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The critical value of F is:
A)5.48
B)3.16
C)7.15
D)1.84
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The critical value of F is:
A)5.48
B)3.16
C)7.15
D)1.84
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
31
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The value of MSB,rounded to three decimal places,is:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The value of MSB,rounded to three decimal places,is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
32
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The value of is:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The value of
is: فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
33
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The value of MSW,rounded to three decimal places,is:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The value of MSW,rounded to three decimal places,is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
34
Use the following to answer questions :
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.
The value of SSB is:
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.The value of SSB is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
35
Use the following to answer questions :
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.
The value of MSB is:
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.The value of MSB is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
36
Use the following to answer questions :
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.
The degrees of freedom for the numerator of the F distribution are:
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.The degrees of freedom for the numerator of the F distribution are:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
37
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The value of is:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The value of
is: فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
38
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The value of SSW is:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The value of SSW is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
39
Use the following to answer questions :
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.
The value of is:
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.The value of
is: فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
40
Use the following to answer questions :
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.
The value of SSW is:
A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same.Fifteen overweight persons were selected at random,then randomly divided into three groups of five,and each group was assigned one of the diets.The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.
By using ANOVA,we wish to test the null hypothesis that the mean weight loss is the same for the three diets.The significance level is 2.5%.The value of SSW is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
41
Use the following to answer questions :
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is .
How many degrees of freedom are there for the between groups variation?
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is
.How many degrees of freedom are there for the between groups variation?
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
42
Using ANOVA,you test the hypothesis that the means of 3 treatments are the same.You calculate the MSW as 16.6.The value of the test statistic F is 2.1.What is the between samples sum of squares,rounded to two decimal places?
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
43
Use the following to answer questions :
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.
The degrees of freedom for the numerator of the F distribution are:
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.The degrees of freedom for the numerator of the F distribution are:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
44
Use the following to answer questions :
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is .
What is the value of the total sum of squares? Round your answer to one decimal place.
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is
.What is the value of the total sum of squares? Round your answer to one decimal place.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
45
Use the following to answer questions :
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.
What is the variance within samples,rounded to four decimal places?
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.What is the variance within samples,rounded to four decimal places?
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
46
Use the following to answer questions :
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The degrees of freedom for the numerator of the F distribution are:
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The degrees of freedom for the numerator of the F distribution are:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
47
Use the following to answer questions :
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is .
How many degrees of freedom are there for the within groups variation?
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is
.How many degrees of freedom are there for the within groups variation?
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
48
Use the following to answer questions :
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is .
How many data points were used in this analysis?
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is
.How many data points were used in this analysis?
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
49
Use the following to answer questions :
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.
The value of the test statistic F,rounded to three decimal places,is:
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.The value of the test statistic F,rounded to three decimal places,is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
50
Use the following to answer questions :
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is .
What is the value of the mean square within groups? Round your answer to three decimal places.
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is
.What is the value of the mean square within groups? Round your answer to three decimal places.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
51
Use the following to answer questions :
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.
The degrees of freedom for the denominator of the F distribution are:
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.The degrees of freedom for the denominator of the F distribution are:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
52
Use the following to answer questions :
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is .
What is the value of the mean square between groups? Round your answer to three decimal places.
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is
.What is the value of the mean square between groups? Round your answer to three decimal places.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
53
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The value of the test statistic F,rounded to three decimal places,is:
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The value of the test statistic F,rounded to three decimal places,is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
54
Use the following to answer questions :
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.
The value of SSB,rounded to four decimal places,is:
The marketing manager for a software company is trying to decide whether to market her company's newest product by mail,on television,or through the Internet.She selects 20 communities in which to test-market the product,advertising through one of the three media in each community.The following table shows the amount of sales,in hundreds of dollars,for each community:
Sales are normally distributed and the standard deviations are equal for all three methods of advertising.You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method.The value of SSB,rounded to four decimal places,is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
55
Use the following to answer questions :
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The degrees of freedom for the denominator of the F distribution are:
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The degrees of freedom for the denominator of the F distribution are:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
56
Use the following to answer questions :
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of SSW,rounded to two decimal places,is:
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of SSW,rounded to two decimal places,is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
57
Use the following to answer questions :
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of SSB is:
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of SSB is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
58
Which of the following is not a characteristic of the F distribution?
A)It has two numbers of degrees of freedom: df for the numerator,and df for the denominator,and these two numbers may or may not be equal to each other.
B)It is symmetric.
C)It is continuous.
D)All units are nonnegative.
A)It has two numbers of degrees of freedom: df for the numerator,and df for the denominator,and these two numbers may or may not be equal to each other.
B)It is symmetric.
C)It is continuous.
D)All units are nonnegative.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
59
Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
The critical value of F is:
A)4.75
B)3.18
C)5.10
D)9.57
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.The critical value of F is:
A)4.75
B)3.18
C)5.10
D)9.57
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
60
Use the following to answer questions :
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.
The value of the test statistic F,rounded to three decimal places,is:
A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays.The company uses display type 1 in four of the stores,display type 2 in four others,and display type 3 in the remaining four stores.Then it records the amount of sales (in $1,000's)during a one month period at each of the twelve stores.The table shown below reports the sales information.
By using ANOVA,we wish to test the null hypothesis that the means of the three corresponding populations are equal.The significance level is 1%.The value of the test statistic F,rounded to three decimal places,is:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
61
Find the critical value of F for d.f = (7,2)and the area in the right tail = 0.025.
A)39.36
B)99.36
C)19.35
D)1.96
A)39.36
B)99.36
C)19.35
D)1.96
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
62
Use the following to answer questions :
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is .
What is the value of the test statistic F? Round your answer to three decimal places.
Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon.The null hypothesis for this test is
.What is the value of the test statistic F? Round your answer to three decimal places.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
فتح الحزمة
k this deck
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 62 في هذه المجموعة.
