Professor's Salaries In a study of starting salaries of assistant professors,7 five male and five female beginning assistant professors at each of two types of institutions granting doctoral degrees were polled and their initial starting salaries were recorded. The results of the survey in thousands of dollars are given in the following table.

a. What type of design was used in collecting these data?
b. Use an analysis of variance to test if there are significant differences in gender, in type of institution, and to test for a significant interaction of gender type of institution.
c. Find a 95% confidence interval estimate for the difference in starting salaries for male assistant professors and female assistant professors. Interpret this interval in terms of a gender difference in starting salaries.
d. Summarize the results of your analysis.

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Type Gender Public (S) Not-For-Profit (S) Male 64.6 63.3 64.1 64.9 75.7 75.0 75.1 75.8 71.6 Female 56.9 58.4 60.1 59.8 73.0 5