Question

1.    (7) To investigate if majors is a factor for starting salary, we collected a random sample of recent graduates. Answered the questions based on the given output.

                                                           ANOVA

                  Starting Salary

	Sum of Squares	df	Mean Square	F	Sig
Between Groups	18296543	3	139432181	2.808	.045
Within Groups	52566751035		47962364
Total	52985047578

                                          

                                Student-Newman-Keuls

Major	N	Subset for alpha = .05
		1	2
a	58	55342.73
c	95	56015.95	56015.95
b	24		57631.70
d	23		57991.03
Sig.		.328	.109

1. Set up hypothesis

2. Find P-value and state your decision

3. Interpretations including the post hoc test results.

Answer 1

Solution:

(a)

Hypothesis

Majors is not a factor for starting Salary (or) Mean Salary (Starting) for all Majors are same.

Majors is a factor for starting salary (or) Mean Salary (Starting) for all Majors are not same.

Now

ANOVA

	SS	df	MS	F
Between Grops	418296543	3	139432181	2.907
Within Groups	52566751035	1096	47962364
Total	52985047578	1099

(b)

  

We reject at and conclude that Majors is a factor for starting salary (or) we can say that mean starting salory for all majors are not same.

(c)

Now, Interpretations including the post hoc test results.

The first column in the result contains the list of majors in order from lowest to highest mean.

Now,

If two majors appear in the same column, then those majors are not significantly different

Additionally,

A major that is listed in one column is said to be statistically significantly different from majors listed in another column

Therefore:

Majors a&c are not significantly different from each other and hence c,b & d

But, Major a is statistically significantly different from majors b and d.

Note: