The U.S. Department of Education7 reports the salaries of professors at universities and colleges in the United States. The following data (in thousands of dollars) is adapted from the report for full-time faculty on 9-month contracts at not-for-profit institutions offering doctoral programs. Ten samples were taken from each of the three professorial levels for both male and females.

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 pair wise comparisons to determine if there are significant differences among the ranks. Use a = .01.

Transcribed Image Text:

Rank Gender Aant Professor Associate Professor Male 75.4 76.5 75.6 75.1 76.6 74.8 76.2 74.9 76.1 76.3 74.8 71.1 70.6 70.3 724 71.1 70.5 71.3 71.1 69.3 94.8 92.6 96.4 95.0 89.7 72.6 103.1 100.2 91.5 88.3 86.3 74.7 91.0 77.6 88.3 718 83.0 80.3 72.5 80.9 Full Professor 133.1 132.0 147.7 122.1 143.3 1327 158.1 142.0 126.3 1276 1611 122.9 141.4 130.8 130.8 145.4 145.0 127.9 127.5 122.9 2 Female