Question 1

What is the greatest limitation of conducting an analysis of variance test when trying to ascertain if there is a statistically significant difference between groups?

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Question 2

ANOVA requires assumptions that the m groups or factor levels being studied represent populations whose outcome measures are randomly and independently obtained,are normally distributed,and have equal variances.

Accepted Answer

ANOVA requires the assumptions of random and independent sampling, normality, and equal variances in order to be valid.

Question 3

Use the below information to answer the following question(s).
The following table shows the number of customers that each of the four counters of a retail store have billed in the past few days. 
-Use ANOVA to test the hypothesis that the mean number of customers is the same for each billing counter.

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Question 4

In test for equality of variances,the closer F is to 0,the more likely it is that the variances are the same.

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In tests for equality of variances, an F value close to 1 indicates that the variances are similar. F values significantly greater or less than 1 suggest differences in variances.

Question 5

In testing the difference between two population parameters,if the confidence interval for the difference contains 0,then the corresponding null hypothesis will not be rejected.

Accepted Answer

If the confidence interval for the difference contains 0, it means that the difference is not statistically significant and there is a possibility that the two population parameters are equal. In this case, the corresponding null hypothesis (H0: population 1 parameter - population 2 parameter = 0) will not be rejected.

Question 6

Using PHStat,test the hypothesis that the variances of success rates of the students before and after the orientation program are the same.

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Question 7

When do we employ a one-sample test for means?

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Question 8

Use the below information to answer the following question(s).
The table below shows the sample data for color preferences by gender.  
-What is the conclusion?

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Question 9

What is the conclusion?

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Question 10

Explain briefly the steps involved in conducting a hypothesis test.

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Question 11

Use the below information to answer the following question(s).
The table below shows the sample data for color preferences by gender.  
-Formulate the hypotheses to whether the proportion of females who prefer a particular category of color is no different from the proportion of males.

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Question 12

Analysis of variance cannot be extended to more than one factor.

Accepted Answer

Analysis of variance can be extended to more than one factor using techniques such as two-way ANOVA and factorial ANOVA. These techniques allow for the examination of the effects of two or more factors on the dependent variable.

Question 13

Apply the Tukey-Kramer multiple comparison procedure to determine the significant differences.

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Question 14

Differentiate between one- and two-tailed tests of hypothesis.How is the rejection region determined for a one-tailed test?

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Question 15

Use the below information to answer the following question(s).
The following table shows the number of customers that each of the four counters of a retail store have billed in the past few days. 
-ANOVA concluded that at least one mean is different from others.However,it did not determine which of the means is significantly different from the rest.Now,to apply the Tukey-Kramer multiple comparison procedure to determine these significant differences,first identify the Q Statistic.

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Question 16

An investigator would like to conduct an independent samples t-test to compare means between two samples.The sample size for each sample is 10.Upon initial evaluation it is found that both samples are not likely to be drawn from normally distributed populations.Further,investigation resulted that the population variances are unknown and are quite different.Should the investigator continue with the analysis? Why or why not?

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Question 17

A chi-square statistic is the sum of the squares of the differences between observed frequency and expected frequency divided by the expected frequency in each cell.

Accepted Answer

This is the correct formula for calculating the chi-square statistic in a contingency table.

Question 18

Compute the 95% confidence interval for the mean difference.What is the conclusion?

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Question 19

Use the below information to answer the following question(s).
The following table provides the success rate in class tests for a sample of high-school students before and after a student orientation program. 
-Using PHStat,determine whether the mean success rate of the students has increased after the orientation program.

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Quiz 5: Hypothesis Testing and Statistical Inference

What is the greatest limitation of conducting an analysis of variance test when trying to ascertain if there is a statistically significant difference between groups?

ANOVA requires assumptions that the m groups or factor levels being studied represent populations whose outcome measures are randomly and independently obtained,are normally distributed,and have equal variances.

In test for equality of variances,the closer F is to 0,the more likely it is that the variances are the same.

In testing the difference between two population parameters,if the confidence interval for the difference contains 0,then the corresponding null hypothesis will not be rejected.

Using PHStat,test the hypothesis that the variances of success rates of the students before and after the orientation program are the same.

When do we employ a one-sample test for means?

Use the below information to answer the following question(s). The table below shows the sample data for color preferences by gender. -What is the conclusion?

What is the conclusion?

Explain briefly the steps involved in conducting a hypothesis test.

Use the below information to answer the following question(s). The table below shows the sample data for color preferences by gender. -Formulate the hypotheses to whether the proportion of females who prefer a particular category of color is no different from the proportion of males.

Analysis of variance cannot be extended to more than one factor.

Apply the Tukey-Kramer multiple comparison procedure to determine the significant differences.

Differentiate between one- and two-tailed tests of hypothesis.How is the rejection region determined for a one-tailed test?

A chi-square statistic is the sum of the squares of the differences between observed frequency and expected frequency divided by the expected frequency in each cell.

Compute the 95% confidence interval for the mean difference.What is the conclusion?