Question 1

Use the following information to answer the question. Researchers want to test whether the color of a vehicle ticketed for speeding has an effect on the amount of the ticket. Four vehicle colors were used for the study-- red, white, black, and silver. Thirty vehicles were randomly assigned to each group. Use the output below to answer the question.
 
-Choose the correct conclusion for the hypothesis that vehicle color affects the amount of a speeding ticket. Assume all ANOVA test conditions have been satisfied.

Accepted Answer

The answer of Use the following information to answer the...

Question 2

Suppose you have observations from five different regions within your state and you wish to do hypothesis tests to compare the mean home value across groups. How many comparisons can be done with six groups?

Accepted Answer

The answer of Suppose you have observations from five different...

Question 3

A movie studio did a poll to determine whether women in different age groups watched different amounts of horror movies. Check the computer output to see whether the same- variance condition for ANOVA holds. Is ANOVA appropriate?

Accepted Answer

The answer of A movie studio did a poll to...

Question 4

In the context of the ANOVA test, which of the following phrases is equivalent to the phrase "variation between groups?"

Accepted Answer

All of these phrases refer to the variation that is attributed to the differences between the groups being compared in an ANOVA test.

Question 5

Choose the appropriate test for the following situation: You wish to test whether the mean number of words recalled from short term memory is different for males and females.

Accepted Answer

A two-sample t-test is appropriate here because it compares the means of two independent groups (males and females) to determine if there is a statistically significant difference between them.

Question 6

Choose the appropriate test for the following situation: You wish to test whether an association exists between the type of vehicle purchased and how many children the buyer has.

Accepted Answer

The answer of Choose the appropriate test for the following...

Question 7

Compute the F- statistic. Round to the nearest hundredth.

Accepted Answer

The F-statistic is calculated by dividing the variance between groups by the variance within groups. In this case, the variance between groups is 1.19 and the variance within groups is 1.00. Therefore, the F-statistic is 1.19 / 1.00 = 1.19.

Question 8

Identify the test statistic used for the ANOVA procedure and how it is calculated.

Accepted Answer

The test statistic used for ANOVA is F, which is calculated as the ratio of the variance between group means to the variance within the groups.

Question 9

Choose the statement that best describes the purpose of ANOVA.

Accepted Answer

ANOVA (Analysis of Variance) is primarily used to compare the means of three or more groups to determine if at least one group mean is statistically different from the others.

Question 10

Use the following information to answer the question. Researchers want to test whether the color of a vehicle ticketed for speeding has an effect on the amount of the ticket. Four vehicle colors were used for the study-- red, white, black, and silver. Thirty vehicles were randomly assigned to each group. Use the output below to answer the question.
 
-Do the ANOVA test results warrant a Post- hoc procedure?

Accepted Answer

The answer of Use the following information to answer the...

Question 11

Use the following information to answer the question. Researchers want to test whether the color of a vehicle ticketed for speeding has an effect on the amount of the ticket. Four vehicle colors were used for the study-- red, white, black, and silver. Thirty vehicles were randomly assigned to each group. Use the output below to answer the question.
 
-Compute the F- statistic. Round to the nearest hundredth.

Accepted Answer

The answer of Use the following information to answer the...

Question 12

Suppose a researcher collected data to compare whether dogs of different size categories differed in mean cost to a pet owner. Dogs were categorized as small, medium, or large. Cost was calculated as the average annual amount spent on food, veterinary visits, and medications. The calculated F- statistic was 421.58. Given this test statistic, which of the following is the most reasonable conclusion?

Accepted Answer

The F-statistic of 421.58 is very large, indicating that the variation between groups (different dog sizes) is much larger than the variation within groups, suggesting a significant association between dog size and mean cost to the pet owner.

Question 13

Choose the statement that is not true about multiple comparisons and ANOVA. Choose (d)if all the statements are true.

Accepted Answer

The independent variable in ANOVA is categorical, not numerical.

Question 14

Which of the following is not one of the conditions that must be checked in order for the calculated F- statistic to follow the F- distribution.

Accepted Answer

The condition that each group's population must be at least 10 times larger than its respective sample is not a requirement for the F-statistic to follow the F-distribution. The other conditions listed are necessary assumptions for the validity of the F-test.

Question 15

Choose the statement that best describes the purpose of ANOVA.

Accepted Answer

ANOVA (Analysis of Variance) is primarily used to determine if there are statistically significant differences between the means of three or more independent groups.

Question 16

Use the following information for the question. A group of home gardeners want to test whether the type of soil used to grow heirloom tomatoes has an effect on the number of tomatoes harvested. Gardeners randomly assigned tomato plants to be grown in soil with no fertilizer, commercial plant food, and homemade compost. All other growing conditions were kept the same. Forty plants were assigned to each group. At the end of the growing season the number of tomatoes harvested was counted. Assume that all other conditions for the ANOVA test have been met.
 
-State the null and alternative hypothesis.

Accepted Answer

The answer of Use the following information for the question....

Question 17

Use the following information for the question. A group of home gardeners want to test whether the type of soil used to grow heirloom tomatoes has an effect on the number of tomatoes harvested. Gardeners randomly assigned tomato plants to be grown in soil with no fertilizer, commercial plant food, and homemade compost. All other growing conditions were kept the same. Forty plants were assigned to each group. At the end of the growing season the number of tomatoes harvested was counted. Assume that all other conditions for the ANOVA test have been met.
 
-Using the test results provided, test the hypothesis that soil treatment affects the number of tomatoes harvested. Use a significance level of 5%. Choose the correct decision regarding the null hypothesis and correct conclusion.

Accepted Answer

If the test results show a statistically significant difference in the number of tomatoes harvested between different soil treatments at the 5% significance level, we reject the null hypothesis and conclude that soil treatment affects the number of tomatoes harvested.

Question 18

Choose the statement that best describes the F- statistic for the ANOVA test.

Accepted Answer

The answer of Choose the statement that best describes the...

Question 19

Use the following information for the question. Researchers conducted a study that examined marital status and stress levels. A hypothesis test was conducted to test the claim that people with different marital statuses have a different mean stress level. The TI- 84 output for the test is shown below.
 
-What is the value of the test statistic? Round to the nearest hundredth if necessary.

Accepted Answer

The test statistic is 5.21.

Question 20

An ANOVA test was conducted to see whether bike frame type (Type A, Type B, or Type C. had an effect on speed over a one mile distance. Test results warranted post- hoc procedures. The Tukey HSD approach was used with the following results:
 Is there evidence that one type of bike frame is faster than the others? Which type of frame appears to be the fastest?

Accepted Answer

The answer of An ANOVA test was conducted to see...

Quiz 11: Multiple Comparisons and Analysis of Variance

Suppose you have observations from five different regions within your state and you wish to do hypothesis tests to compare the mean home value across groups. How many comparisons can be done with six groups?

A movie studio did a poll to determine whether women in different age groups watched different amounts of horror movies. Check the computer output to see whether the same- variance condition for ANOVA holds. Is ANOVA appropriate?

In the context of the ANOVA test, which of the following phrases is equivalent to the phrase "variation between groups?"

Choose the appropriate test for the following situation: You wish to test whether the mean number of words recalled from short term memory is different for males and females.

Choose the appropriate test for the following situation: You wish to test whether an association exists between the type of vehicle purchased and how many children the buyer has.

Compute the F- statistic. Round to the nearest hundredth.

Identify the test statistic used for the ANOVA procedure and how it is calculated.

Choose the statement that best describes the purpose of ANOVA.

Choose the statement that is not true about multiple comparisons and ANOVA. Choose (d) if all the statements are true.

Which of the following is not one of the conditions that must be checked in order for the calculated F- statistic to follow the F- distribution.

Choose the statement that best describes the purpose of ANOVA.

Choose the statement that best describes the F- statistic for the ANOVA test.