11.75 Professor's Salaries II Each year, Statstics Canada reports on salaries of academic professors at universities and...

Question:

11.75 Professor's Salaries II Each year, Statstics Canada reports on salaries of academic professors at universities and colleges in Canada. The following data (in dollars), adapted from this report, are based on samples of n = 10 in each of three professorial ranks, for both male and female professors.

image text in transcribed

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 for pairwise comparisons to determine if there are significant differences among the ranks.