Are the assumptions of an ANOVA reasonably satisfied

A researcher investigates the factors that are associated with the salaries of professors who tea…

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.

  1. Run the appropriate test in Minitab and show output. What conclusions can you make?
  2. Obtain boxplots and residual plots for these data.
  3. Are the assumptions of an ANOVA reasonably satisfied? Explain in reference to the plots.
  4. 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.

Salary per course   Subject
1700 Humanities
1900   Humanities
1800 Humanities
2100 Humanities
2500   Humanities
2700   Humanities
2900   Humanities
2500   Humanities
2600   Humanities
2800   Humanities
2700   Humanities
2900   Humanities
2500   Social Sciences
2300   Social Sciences
2600   Social Sciences
2400   Social Sciences
2700   Social Sciences
2400   Social Sciences
2600   Social Sciences
2400   Social Sciences
2500   Social Sciences
3500   Social Sciences
3300   Social Sciences
3600   Social Sciences
3400   Social Sciences
2700   Engineering
2800   Engineering
2900   Engineering
3000   Engineering
2800   Engineering
2700   Engineering
3700   Engineering
3600   Engineering
3700   Engineering
3800   Engineering
3900   Engineering
2500   Managament
2600   Managament
2300   Managament
2800   Managament
3300   Managament
3400   Managament
3300   Managament
3500   Managament
3600   Managament