Random samples of seven lawyers employed as public defenders were selected from each of three major cities. Their salaries are recorded in the table on the top of the next column. You have been hired to determine whether differences exist among the salary distributions for public defenders in the three cities.

a. Under what circumstances would it be appropriate to use the F-test for a completely randomized design to perform the required analysis?
b. Which assumptions required by the F-test are likely to be violated in this problem? Explain.
c. Use the Kruskal-Wallis H-test to determine whether the salary distributions differ among the three cities. Specify your null and alternative hypotheses and state your conclusions in the context of the problem. Use a = .05.
d. What assumptions are necessary to ensure the validity of the nonparametric test in part c?

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Los Angeles Atlanta Washington, D.C. $39,600 89,900 66,700 43,900 82,200 88,600 64,800 $47,400 140,000 68,000 48,700 74,400 102,000 54,500 $48,000 86,900 58,000 82,600 83,200 61,800 65,000