Question 1

A manufacturer of automobile transmissions uses three different processes. The management ordered a study of the production costs to see if there is a difference among the three processes. A summary of the findings is shown below.  What is the mean square for treatments?

Accepted Answer

The answer of A manufacturer of automobile transmissions uses three...

Question 2

i. If we want to determine which treatment means differ, one method is confidence intervals. 
ii. If the confidence interval includes 0, there is no difference in the pair of treatment means.
Iii) If both end points of a confidence interval are of the same sign, it indicates that the treatment means are not different.

Accepted Answer

Confidence intervals can be used to determine differences between treatment means (i). If a confidence interval includes 0, it suggests no significant difference (ii). However, if both endpoints are of the same sign, it indicates a significant difference, not no difference, making (iii) incorrect.

Question 3

In ANOVA analysis, when the null hypothesis is rejected, we can find which means are different by:

Accepted Answer

Constructing confidence intervals can help determine which specific means are different after rejecting the null hypothesis in ANOVA.

Question 4

Given the following Analysis of Variance table for three treatments each with six observations.  What is the critical value of F at the 5% level of significance?

Accepted Answer

The answer of Given the following Analysis of Variance table...

Question 5

Given the following Analysis of Variance table for three treatments each with six observations.  What are the degrees of freedom for the numerator and denominator?

Accepted Answer

The answer of Given the following Analysis of Variance table...

Question 6

If the confidence interval for the difference in treatment means contains zero, then:

Accepted Answer

If the confidence interval for the difference in treatment means contains zero, it suggests that there is no statistically significant difference between the treatment means.

Question 7

Based on the comparison between the mean annual incomes for executives with Undergraduate and Master's Degree or more,

Accepted Answer

The answer of Based on the comparison between the mean...

Question 8

A manufacturer of automobile transmissions uses three different processes. The management ordered a study of the production costs to see if there is a difference among the three processes. A summary of the findings is shown below.  What are the degrees of freedom for the denominator?

Accepted Answer

The answer of A manufacturer of automobile transmissions uses three...

Question 9

The components of an ANOVA table include:

Accepted Answer

The answer of The components of an ANOVA table include:
...

Question 10

i. If we want to determine which treatment means differ, one method is confidence intervals. 
ii. If the confidence interval includes 0, there is a difference in the pair of treatment means.
Iii) If both end points of a confidence interval are of the same sign, it indicates that the treatment means are not different.

Accepted Answer

The answer of i. If we want to determine which...

Question 11

In a study of low tar cigarettes, five cigarettes from each of three brands were tested to see if the mean amount of tar per cigarette differs among the brands. i. There are 2 degrees of freedom for the numerator.
Ii) There are 12 degrees of freedom for the denominator.
Iii) If the sum of squares for the brands is 0.07, the mean square for brands is 0.035.

Accepted Answer

The degrees of freedom for the numerator are equal to the number of groups minus 1, which is 3 - 1 = 2. The degrees of freedom for the denominator are equal to the total number of observations minus the number of groups, which is 5 * 3 - 3 = 12. The mean square for brands is equal to the sum of squares for brands divided by the degrees of freedom for the numerator, which is 0.07 / 2 = 0.035.

Question 12

A manufacturer of automobile transmissions uses three different processes. The management ordered a study of the production costs to see if there is a difference among the three processes. A summary of the findings is shown below.  What is the calculated F?

Accepted Answer

The answer of A manufacturer of automobile transmissions uses three...

Question 13

A random sample of 30 executives from companies with assets over $1 million was selected and asked for their annual income and level of education. The ANOVA comparing the average income among three levels of education rejected the null hypothesis. The Mean Square Error (MSE) was 243.7. The following table summarized the results:  When comparing the mean annual incomes for executives with Undergraduate and Master's Degree or more, the following 95% confidence interval can be constructed:

Accepted Answer

The answer of A random sample of 30 executives from...

Question 14

In a study of low tar cigarettes, five cigarettes from each of three brands were tested to see if the mean amount of tar per cigarette differs among the brands.
i. There are 2 degrees of freedom for the numerator.
ii. There are 14 degrees of freedom for the denominator.
iii. If the sum of squares for the brands is 0.07, the mean square for brands is 0.035.

Accepted Answer

The answer of In a study of low tar cigarettes,...

Question 15

A manufacturer of automobile transmissions uses three different processes. The management ordered a study of the production costs to see if there is a difference among the three processes. A summary of the findings is shown below.  What is the mean square for error?

Accepted Answer

The answer of A manufacturer of automobile transmissions uses three...

Question 16

Given the following Analysis of Variance table for three treatments each with six observations.  What is the mean square for treatments?

Accepted Answer

The answer of Given the following Analysis of Variance table...

Question 17

A random sample of 30 executives from companies with assets over $1 million was selected and asked for their annual income and level of education. The ANOVA comparing the average income among three levels of education rejected the null hypothesis. The Mean Square Error (MSE) was
243.7. 
 The following table summarized the results: 
 When comparing the mean salaries to test for differences between treatment means, the t statistic is based on:

Accepted Answer

The answer of A random sample of 30 executives from...

Question 18

A manufacturer of automobile transmissions uses three different processes. The management ordered a study of the production costs to see if there is a difference among the three processes. A summary of the findings is shown below.  What are the total degrees of freedom?

Accepted Answer

The answer of A manufacturer of automobile transmissions uses three...

Question 19

When comparing the mean annual incomes for executives with a High School education or less and Undergraduate Degree, the 95% confidence interval shows an interval of 11.7 to 42.7 for the difference. This result indicates that:

Accepted Answer

The confidence interval does not contain zero and is entirely positive, indicating that executives with an Undergraduate Degree earn significantly more than those with a High School education or less.

Question 20

Given the following Analysis of Variance table for three treatments each with six observations.  What is the computed value of F?

Accepted Answer

The answer of Given the following Analysis of Variance table...

Quiz 11: Analysis of Variance

A manufacturer of automobile transmissions uses three different processes. The management ordered a study of the production costs to see if there is a difference among the three processes. A summary of the findings is shown below. What is the mean square for treatments?

In ANOVA analysis, when the null hypothesis is rejected, we can find which means are different by:

Given the following Analysis of Variance table for three treatments each with six observations. What is the critical value of F at the 5% level of significance?

Given the following Analysis of Variance table for three treatments each with six observations. What are the degrees of freedom for the numerator and denominator?

If the confidence interval for the difference in treatment means contains zero, then:

Based on the comparison between the mean annual incomes for executives with Undergraduate and Master's Degree or more,

A manufacturer of automobile transmissions uses three different processes. The management ordered a study of the production costs to see if there is a difference among the three processes. A summary of the findings is shown below. What are the degrees of freedom for the denominator?

The components of an ANOVA table include:

A manufacturer of automobile transmissions uses three different processes. The management ordered a study of the production costs to see if there is a difference among the three processes. A summary of the findings is shown below. What is the calculated F?

A manufacturer of automobile transmissions uses three different processes. The management ordered a study of the production costs to see if there is a difference among the three processes. A summary of the findings is shown below. What is the mean square for error?

Given the following Analysis of Variance table for three treatments each with six observations. What is the mean square for treatments?

A manufacturer of automobile transmissions uses three different processes. The management ordered a study of the production costs to see if there is a difference among the three processes. A summary of the findings is shown below. What are the total degrees of freedom?

When comparing the mean annual incomes for executives with a High School education or less and Undergraduate Degree, the 95% confidence interval shows an interval of 11.7 to 42.7 for the difference. This result indicates that:

Given the following Analysis of Variance table for three treatments each with six observations. What is the computed value of F?