Question 1

Use the following information for the questions. A group of home gardeners want to test whether the type of soil used to grow carrots has an effect on the number of carrots harvested. Gardeners randomly assigned carrot plants to be grown in soil with no fertilizer, commercial plant food, and homemade compost. All other growing conditions were kept the same. Fifty plants were assigned to each group. At the end of the growing season the number of carrots harvested was counted. Use the output below to answer the question. 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 carrots harvested. Use a significance level of 5%. State the correct decision regarding the null hypothesis and write a sentence summarizing the conclusion.

Accepted Answer

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

Question 2

Choose the appropriate test for the following situation: You wish to test whether an association exists between type of vehicle transmission purchased-- automatic or manual-- and gender of the purchaser.

Accepted Answer

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

Question 3

Use the following information for the question. Researchers conducted a study that examined marital status and work hours. A hypothesis test was conducted to test the claim that people with different marital statuses have a different mean number of work hours. Participants were categorized as married, single, or divorced. Assume that all conditions for the ANOVA test have been met. 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 answer of Use the following information for the question....

Question 4

What is the test statistic used for the ANOVA procedure? Explain how it is calculated.

Accepted Answer

The answer of What is the test statistic used for...

Question 5

Use the following information to answer the question. Researchers want to test whether the color of a cyclist's jersey has an effect on race finish times. Four jersey colors were used for the study-- red, green, blue, and yellow. Thirty cyclists were randomly assigned to each group. Use the output below to answer the question.
 
-Compute the F- statistic. Show your work. Round to the nearest hundredth.

Accepted Answer

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

Question 6

In the context of the ANOVA test, do the phrases "variation due to treatment", "explained variation", and "variation due to factors", describe variation within groups or variation between groups?

Accepted Answer

The answer of In the context of the ANOVA test,...

Question 7

A television studio did a poll to determine whether women in different age groups watched different amounts of comedy programming. Check the TI- 84 output to see whether the same- variance condition for ANOVA holds. Show your work. Is ANOVA appropriate?

Accepted Answer

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

Question 8

Use the following information to answer the question. Researchers want to test whether the color of a cyclist's jersey has an effect on race finish times. Four jersey colors were used for the study-- red, green, blue, and yellow. Thirty cyclists were randomly assigned to each group. Use the output below to answer the question.
 
-Assume that all ANOVA test conditions have been satisfied. State the correct decision regarding the null hypothesis for the claim that jersey color affects race finish times. Write a sentence summarizing your conclusion.

Accepted Answer

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

Question 9

Use the following information for the questions. A group of home gardeners want to test whether the type of soil used to grow carrots has an effect on the number of carrots harvested. Gardeners randomly assigned carrot plants to be grown in soil with no fertilizer, commercial plant food, and homemade compost. All other growing conditions were kept the same. Fifty plants were assigned to each group. At the end of the growing season the number of carrots harvested was counted. Use the output below to answer the question. Assume that all other conditions for the ANOVA test have been met.
 
-Interpret the boxplots given. Compare medians, interquartile ranges, and shapes, and mention any potential outliers.

Accepted Answer

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

Question 10

The figure below shows the F- distribution with 5 and 10 degrees of freedom to test the hypothesis that age groups and reading speed are associated. The shaded area represents the p- value. Assume that all conditions for ANOVA have been met. Should the null hypothesis that the age group population means are equal be rejected? What conclusion can be drawn about the association between age group and reading speed?

Accepted Answer

The answer of The figure below shows the F- distribution...

Question 11

Describe two of the four conditions that must be checked in order for the calculated F- statistic to follow the F- distribution.

Accepted Answer

The answer of Describe two of the four conditions that...

Question 12

Use the following information for the questions. A group of home gardeners want to test whether the type of soil used to grow carrots has an effect on the number of carrots harvested. Gardeners randomly assigned carrot plants to be grown in soil with no fertilizer, commercial plant food, and homemade compost. All other growing conditions were kept the same. Fifty plants were assigned to each group. At the end of the growing season the number of carrots harvested was counted. Use the output below to answer the question. 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 questions....

Question 13

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

Accepted Answer

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

Question 14

Use the following information for the question. Researchers conducted a study that examined marital status and work hours. A hypothesis test was conducted to test the claim that people with different marital statuses have a different mean number of work hours. Participants were categorized as married, single, or divorced. Assume that all conditions for the ANOVA test have been met. The TI- 84 output for the test is shown below.
 
-State the null and alternative hypothesis.

Accepted Answer

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

Question 15

Suppose you have observations from six different school districts within your state and you wish to do hypothesis tests to compare the mean home value across groups. Using the Bonferroni Correction, what significance level should you use for each hypothesis test if you want an overall significance of 0.10? Round to the nearest thousandth.

Accepted Answer

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

Question 16

Choose the appropriate test for the following situation: Suppose that researchers wish to study whether dieting affects alertness levels. Three popular dieting plans were included in the study. After following the diet for several weeks, participants were given a test that measured response time to a stimulus.

Accepted Answer

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

Question 17

Suppose a researcher collected data to compare whether cats of different size categories differed in mean number of hours slept per day. Cats were categorized as small, medium, or large. The calculated F- statistic was 220.41. Given this test statistic, can we conclude that there is more variation between groups or within groups? Based on the test statistic, is it likely that an association exists between cat size and mean number of hours that a cat sleeps per day? Explain.

Accepted Answer

The answer of Suppose a researcher collected data to compare...

Question 18

What is the meaning the overall significance level of a test? Explain what happens to the overall significance level when multiple comparisons are made, that is, when multiple hypothesis tests are conducted in an effort to compare the means of several groups.

Accepted Answer

The answer of What is the meaning the overall significance...

Question 19

An ANOVA test was conducted to see whether running shoe sole type (Type A, Type B, or Type C)had an effect on shoe wear over a six month period. Test results warranted
post- hoc procedures. The Tukey HSD approach was used with the following results:
  Is there evidence that one type of running shoe sole wears better than the others? Which type of running shoe sole appears to wear the best? Explain.

Accepted Answer

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

Question 20

Use the following information to answer the question. Researchers want to test whether the color of a cyclist's jersey has an effect on race finish times. Four jersey colors were used for the study-- red, green, blue, and yellow. Thirty cyclists were randomly assigned to each group. Use the output below to answer the question.
 
-Do the ANOVA test results warrant a post- hoc procedure? Explain why or why not.

Accepted Answer

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

Quiz 11: Multiple Comparisons and Analysis of Variance

Choose the appropriate test for the following situation: You wish to test whether an association exists between type of vehicle transmission purchased-- automatic or manual-- and gender of the purchaser.

What is the test statistic used for the ANOVA procedure? Explain how it is calculated.

In the context of the ANOVA test, do the phrases "variation due to treatment", "explained variation", and "variation due to factors", describe variation within groups or variation between groups?

A television studio did a poll to determine whether women in different age groups watched different amounts of comedy programming. Check the TI- 84 output to see whether the same- variance condition for ANOVA holds. Show your work. Is ANOVA appropriate?

Describe two of the four conditions that must be checked in order for the calculated F- statistic to follow the F- distribution.

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

What is the meaning the overall significance level of a test? Explain what happens to the overall significance level when multiple comparisons are made, that is, when multiple hypothesis tests are conducted in an effort to compare the means of several groups.