Most powerful American women. Refer to Fortune (Nov. 14, 2002) magazine’s study of the mos...

Most powerful American women. Refer to Fortune (Nov. 14, 2002) magazine’s study of the most powerful women in America, Presented in Exercise 2.58 (p.59). Recall that the data on age (in years) and title of each of the 50 women in the survey are stored in the WPOWER50 file. (Some of the data are listed in the accompanying table.) Suppose you want to compare the average ages of the most powerful American Women in four groups based on their position (title) within the firm: Group 1(CEO); Group 2(Chairman, President CFO, COO, or CRO); Group 3(EVP, SVP, and Vice Chair); and Group 4 (Founder, Treasurer, or Executive).

SPSS output

WPOWER50

Source: Fortune, Nov. 14, 2005.

a. Give the null and alternative hypotheses to be tested.

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b. An SPSS analysis-of-variance printout for the test you stated in part a is shown at the bottom of p. 416. The sample means for the four groups appear at the bottom of the printout. Why is it insufficient to make a decision about the null hypothesis based solely on these sample means?

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c. Locate the test statistic and p-value on the printout. Use this information to make the appropriate conclusion at α = .10.

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d. Use the data in the WPOWER50 file to determine whether the ANOVA assumptions are reasonably satisfied.

Exercise 2.58