The following data are pairs of values, where the first ordered pair represents the average salary (in thousands of dollars/year) for male faculty members at an institution and the second ordered pair represents the average salary for female faculty members (in thousands of dollars/year) at the same institution. A random sample of 22 U.S. colleges and universities was used (source: Academe, Bulletin of the American Association of University Professors).

(34.5, 33.9)(30.5, 31.2)(35.1, 35.0)(35.7, 34.2)(31.5, 32.4)

(34.4, 34.1)(32.1, 32.7)(30.7, 29.9)(33.7, 31.2)(35.3, 35.5)

(30.7, 30.2)(34.2, 34.8)(39.6, 38.7)(30.5, 30.0)(33.8, 33.8)

(31.7, 32.4)(32.8, 31.7)(38.5, 38.9)(40.5, 41.2)(25.3, 25.5)

(28.6, 28.0)(35.8, 35.1)

Use your graphing calculator to test the hypothesis that there is a difference in salaries (LaTeX: \mu_d e0 d 0). This is a matched pair, so you will put male faculty salaries in L1, female faculty salaries in L2, and store their difference (L1 - L2) in L3. What is the p-value of the sample test statistic? Do we reject or fail to reject the null hypothesis at the 5% level of significance? What about at the 1% level of significance?

Test the hypothesis that female faculty members have a lower average salary than male faculty members (LaTeX: \mu_d>0 d > 0). What is the test conclusion at the 5% level of significance? At the 1% level of significance?