In a study of starting salaries of assistant professors, five male assistant professors and five female assistant professors at each of three types of institutions granting doctoral degrees were polled and their initial starting salaries were recorded under the condition of anonymity. The results of the survey in $1000 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. Use Tukey€™s procedure to investigate differences in assistant professor salaries for the three types of institutions. Use α = .01.

e. Summarize the results of your analysis.

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Gender Public Universities Private/Independent Church-Related $57.3 $85.8 $78.9 57.9 75.2 69.3 Males 56.5 66.9 69.7 73.0 76.5 58.2 62.0 73.0 61.2 47.4 62.1 60.4 56.7 69.1 62.1 Females 69.0 66.5 59.8 63.2 61.8 71.9 65.3 76.7 61.6