A researcher investigates the factors that are associated with the salaries of professors who teach courses at a major university. The researcher gathers data about the subject area and the salary per course for a random sample of professors. Data are found in the file Academic Salaries by Subject Area.

1. State the null and alternate hypothesis we would run to determine if the average salaries of the professors is the same across all subjcet areas.
2. Run the appropriate test in Minitab and show output. What conclusions can you make?
3. Obtain boxplots for these data, each individual data normality test plot, and one Normality plots for all residuals. (2 Marks)
4. Are the assumptions of an ANOVA reasonably satisfied? Explain in reference to the plots.
5. If there is a difference in salaries run a Tukey's test to show how the salaries for the different subject areas compare to each other. Describe what the results of the Tukey's test tell you. (2 Marks)