Question

A state board of directors for higher education is comparing the mean salaries of entry-level PhD positions at the state’s two majors universities to make sure that there is not a difference in entry level pay. Use the information given in the following table, which was collected by the board of directors for higher education, to perform the hypothesis test at the 0.05 level of significance. Interpret results.

	University A	University B
Sample Size	42	51
Mean entry-level salary	$58,500	$60,200
Population standard deviation	$3,200	$11,700

Answer 1

By comparing the mean salaries of given two universities of A and B , they are significantly different.