Question: Senior partners of an accounting firm are concerned about recent complaints by some female managers that they are paid less than their male counterparts. In response to these charges, the partners ask their human resources director to record the salaries of female and male managers with equivalent education, work experience, and job performance. A random sample of these pairs of managers is provided in the file below.
Q1. Do these data support the claim made by some female managers within the organizations? Report and interpret the p-value.
Q2. Assuming a 5% significance level, which values of the sample means.
| Pair |
Female_Salary |
Male_Salary |
| 1 |
$100,525 |
$101,755 |
| 2 |
$80,922 |
$80,670 |
| 3 |
$78,475 |
$79,139 |
| 4 |
$90,093 |
$90,821 |
| 5 |
$68,992 |
$68,524 |
| 6 |
$86,265 |
$87,001 |
| 7 |
$71,832 |
$71,703 |
| 8 |
$96,802 |
$97,657 |
| 9 |
$94,033 |
$95,395 |
| 10 |
$78,067 |
$78,580 |
| 11 |
$108,171 |
$107,938 |
| 12 |
$86,667 |
$87,211 |
| 13 |
$91,943 |
$92,835 |
| 14 |
$81,514 |
$81,831 |
| 15 |
$73,902 |
$74,522 |
| 16 |
$92,314 |
$93,196 |
| 17 |
$77,934 |
$78,220 |
| 18 |
$83,961 |
$84,694 |
| 19 |
$79,892 |
$79,120 |
| 20 |
$77,593 |
$77,560 |
| 21 |
$86,820 |
$87,211 |
| 22 |
$94,721 |
$94,862 |
| 23 |
$99,194 |
$100,309 |
| 24 |
$79,258 |
$80,404 |
| 25 |
$93,743 |
$94,323 |
| 26 |
$86,570 |
$86,742 |
| 27 |
$84,568 |
$85,790 |
| 28 |
$88,247 |
$88,317 |
| 29 |
$69,782 |
$69,726 |
| 30 |
$58,464 |
$59,026 |
| 31 |
$80,194 |
$80,734 |
| 32 |
$96,339 |
$96,348 |
| 33 |
$59,832 |
$59,740 |
| 34 |
$81,567 |
$82,028 |
| 35 |
$88,149 |
$88,324 |
| 36 |
$85,934 |
$85,380 |
| 37 |
$101,520 |
$100,743 |
| 38 |
$81,313 |
$81,496 |
| 39 |
$77,883 |
$77,288 |
| 40 |
$99,002 |
$100,437 |
| 41 |
$83,637 |
$83,296 |
| 42 |
$80,358 |
$79,584 |
| 43 |
$70,389 |
$70,476 |
| 44 |
$79,395 |
$80,347 |
| 45 |
$80,303 |
$80,934 |
| 46 |
$70,490 |
$70,867 |
| 47 |
$107,357 |
$107,514 |
| 48 |
$87,931 |
$88,959 |
| 49 |
$97,043 |
$96,907 |
| 50 |
$79,456 |
$78,751 |