1. A recent issue of the AARP Bulletin reported that the average weekly pay for a woman with a high school degree is $520. Suppose you would like to determine if the average weekly pay for all working women is significantly greater than that for women with a high school degree. Data providing the weekly pay for a sample of 50 working women are available in the file named WeeklyPay. These data are consistent with the findings reported in the AARP article.

a. State the hypotheses that should be used to test whether the mean weekly pay for all women is significantly greater than the mean weekly pay for women with a high school degree.

b. Use the data in the file named WeeklyPay to compute the mean, the test statistic, and the p-value.

c. Use = 0.05, what is your conclusion?

d. Repeat the hypothesis test using the critical value approach.

1 3 4 5 6 7 8 9 10 11 12 13 14 Weekly Pay 582 333 759 633 629 523 320 685 599 753 SS3 641 290 800 696 627 679 667 542 619 950 614 548 570 678 697 750 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 569 30 31 32 33 679 598 596 SS7 657 617 34 35 36 37 38 39 40 41 42 43 1230 648 760 804 675 736 565 587 565 687 498 712 533 424 772 691 44 45 46 47 48 49 50 51