Question

A university administrator wishes to determine if salaries of last year’s graduates from two colleges within the university differ. Two groups of randomly chosen graduates were drawn. The sample data were entered into a statistical software program, and the output for the F test is shown below. To compare the two means, would it be appropriate to use a t test that assumes equal variances?

F-Test Two-Sample for Variances

BCIS Arts & Science

Mean 46452.86 37199.05

Variance 24106391 54682629.05

Observations 21 21

df 20 20

F 0.4408

P(F<=f) one-tail 0.0372F

Critical one-tail 0.4708

A. Yes, because the sample statistics (the F test) show that the variances are equal at α = .05.B

B. No, because the sample statistics (the F test) show that the variances are unequal at α = .05.C.

C. No, because a z test should be used instead of a t test. D.

D. No, because the F test is not the proper test to compare two variances.

Answer 1