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Chapter 9: Q19E (page 542)
Refer to Exercises 9.17 and 9.18. Complete the following ANOVA table for each of the two dot plots:
The F-ratio for dot plot #1 is 37.5 and for dot plot #2 is 5.21
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Why does the experiment wise error rate of a multiplecomparisons procedure differ from the significance level for each comparison (assuming the experiment has more than two treatments)?
Explain the difference between an experiment that employs a completely randomized design and one that employs a randomized block design.
Mixed gender decision-making groups. In business, a group of executives is often assigned to make key decisions. The American Journal of Political Science (April 2014) published a study on a woman’s impact on mixed-gender deliberating groups. The researchers randomly assigned subjects to one of several 5-member decision-making groups. The
groups’ gender composition varied as follows: 0 females, 1 female, 2 females, 3 females, 4 females, or 5 females. Each group was then randomly assigned to utilize one of two types of decision rules: unanimous or majority rule. Ten groups were created for each of the 6 * 2 = 12 combinations of gender composition and decision rule. One variable
of interest, measured for each group, was the number of words spoken by women on a certain topic per 1,000 total words spoken during the deliberations.
a. Why is this experiment considered a designed study?
b. Identify the experimental unit and dependent variable in this study.
c. Identify the factors for this study. Give the levels of each factor.
d. How many treatments are in this study? List them.
Study of mutual fund performance. Mutual funds are classified as large-cap funds, medium-cap funds, or small-cap funds, depending on the capitalization of the companies in the fund. Hawaii Pacific University researchers investigated whether the average performance of a mutual fund is related to capitalization size (American Business Review, January 2002). Independent random samples of 30 mutual funds were selected from each of the three fund groups, and the 90-day rate of return was determined for each fund. The data for the 90 funds were subjected to an analysis of variance, with the results shown in the ANOVA summary table below.
a. State the null and alternative hypotheses for the ANOVA.
Performance of a bus depot. Refer to the International Journal of Engineering Science and Technology (February 2011) study of public bus depot performance, Exercise 9.25 (p. 544). Recall that 150 customers provided overall performance ratings at each of three different bus depots (Depot 1, Depot 2, and Depot 3). The average performance scores were determined to be significantly different at α=.05 using an ANOVA F-test. The sample mean performance scores were reported as 
. The researchers employed the Bonferroni method to rank the three performance means using an experiment wise error rate of .05. Adjusted 95% confidence intervals for the differences between each pair of treatment means are shown in the table. Use this information to rank the mean performance scores at the three bus depots.
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