Question

65. A recent issue of the AARP Bulletin reported that the average weekly pay for a woman with a high school degree is $520 (AARP Bulletin, January-February, 2010). 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. Weekly Pay 582 759 633 523 753 553 641 12 14 16 17 18 19 679 667 542 619 950 614 26 678 750 679 557 657 617 1230 648 34 35 37 38 675 736 41 587 47 533 424 51 691

a. The question that you are seeking to answer with the hypothesis test (e.g., Do we have evidence to conclude that mean spending has declined?)

b. The null and alternative hypotheses (in words as well as using symbols)

c. The level of significance

d. The procedure to be used (e.g., Mean: population standard deviation known)

e. Excel output (copy and paste from Excel into your word-processed document)

f. The value of the test statistic

g. The critical value

h. The rejection rule (e.g., Reject H₀ if __________)

i. A drawing of the bell curve showing the rejection area, the critical value(s), and the test statistic (hand-drawn is fine)

j. The decision (whether or not to reject the null hypothesis) and the reason for that decision

k. The p-value

l. The interpretation of the p-value (comparing with level of significance and reaching a decision)

m. The answer to the question identified in part a.

Answer 1