Each year, the American Association of University Professors reports on salaries of academic professors at universities and colleges in the United States. The following data (in thousands of dollars), adapted from this report, are based on samples of n = 10 in each of three professorial ranks, for both male and female professors.

a. Identify the design used in this survey.

b. Use the appropriate analysis of variance for these data.

c. Do the data indicate that the salary at the different ranks vary by gender?

d. If there is no interaction, determine whether there are differences in salaries by rank, and whether there are differences by gender. Discuss your results.

e. Plot the average salaries using an interaction plot. If the main effect of ranks is significant, use Tukey€™s method of pairwise comparisons to determine if there are significant differences among the ranks. Use α = .01.

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Rank Assistant Associate Gender Professor Professor Full Professor $63.9 $64.4 62.2 64.2 $70.0 $74.4 $109.4 $110.5 77.2 76.3 Male 63.9 77.7 111.3 104.4 106.3 106.9 64.8 68.3 77.1 112.5 111.6 64.9 76.0 78.8 67.5 67.5 70.1 73.1 118.3 109.9 100.9 Female 56.6 59.0 65.4 66.3 110.3 58.6 102.8 102.0 96.7 57.6 71.9 74.6 97.0 54.9 62.9 73.0 53.5 65.9 91.5 64.4 62.6 67.9 69.4 103.5 73.6 59.8 71.0 95.6 97.8