Question

Professor T. Weinda, a professor of Philosophy at the University of Arkansas, believes that women faculty members are underpaid relative to their male counterparts.   To test this belief she chose a male and a female faculty member of the same rank from each of 25 departments at the U. of A. She did this to control for differences in departments because some, like business, are paid more than others, like philosophy. She entered the salary figures (in thousands of $) for each faculty member into an Excel file as illustrated below:

Female	Male
71	72
55	60
.	.
.	.

Which of the following is Professor Weinda’s hypothesis?

Ho: μ1– μ2≤ 0: H1: μ1– μ2 > 0

Ho: μD(female-male) ≥ 0; H1: μD(female-male) < 0

Ho: μD = 0; H1: μD ≠ 0

Ho: μ1– μ2 ≥ 0: H1: μ1 – μ2 < 0

Answer 1

Here male and female samples are being paired as per the ranks. Hence,

The correct alternative hypothesis will be:

Ho: μD(female-male) ≥ 0; H1: μD(female-male) < 0

Option B is correct.