A researcher investigates the factors that are associated with the salaries of professors who teach courses...

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A researcher investigates the factors that are associated withthe salaries of professors who teach courses at a major university.The researcher gathers data about the subject area and the salaryper course for a random sample of professors. Data are found in thefile Academic Salaries by Subject Area.
a) State the null and alternate hypothesis we would run todetermine if the average salaries of the professors is the sameacross all subjcet areas.
b) Run the appropriate test in Excel and show output. Whatconclusions can you make?
c) Obtain boxplots for these data, each individual data NPP, anda NPP for all residuals.
d) Are the assumptions of an ANOVA reasonably satisfied? Explain& Discussion in reference to the plots.
e) If there is a difference in salaries run a Tukeyâ€™s test toshow how the salaries for the different subject areas compare toeach other. Describe what the results of the Tukeyâ€™s test tell you.
Salary per course
Humanities Social Sciences Engineering Managament
1700 2500 2700 2500
1900 2300 2800 2600
1800 2600 2900 2300
2100 2400 3000 2800
2500 2700 2800 3300
2700 2400 2700 3400
2900 2600 3700 3300
2500 2400 3600 3500
2600 2500 3700 3600
2800 3500 3800
2700 3300 3900
2900 3600
3400

Answer & Explanation Solved by verified expert

3.6 Ratings (620 Votes)

a State the null and alternate hypothesis we would run todetermine if the average salaries of the professors is the sameacross all subjcet areasThe hypothesis being tested isH0 1 2 3 4Ha At least one means is not equalb Run the appropriate test in Excel and show output Whatconclusions can you makeThe output isMeannStd Dev242501243511Humanities278461347757Social See Answer

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