{Exercise 9.51(Algorithmic)} A recent issue of theAARP Bulletin reported that the average weekly pay for awoman with a high school diploma was $680 (AARP Bulletin,January–February 2010). Suppose you would like to determine if theaverage weekly pay for all working women is significantly greaterthan that for women with a high school diploma. Data providing theweekly pay for a sample of 50 working women are available in theWEBfile named WeeklyPay. These data are consistent with thefindings reported in the article mentioned above. Please roundanswers to two decimal places if necessary. Click on the webfilelogo to reference the data. a.State the hypotheses that should be used to test whether the meanweekly pay for all women is significantly greater than the meanweekly pay for women with a high school diploma. H0: ? - Select your answer -greaterthan 680greater than or equal to 680equal to 680less than or equalto 680less than 680not equal to 680 Ha: ? - Select your answer -greaterthan 680greater than or equal to 680equal to 680less than or equalto 680less than 680not equal to 680 b.Use the data in the WEBfile named WeeklyPay to compute the samplemean, the test statistic, and the p-value. Sample mean Test statistic p-value - Select your answer -Less than.005Between .005 and .01Between .01 and .025Between .025 and.05Between .10 and .20More than .2 c.Use ? = .05. What is your conclusion? - Select your answer -The mean weekly pay for all women is higherthan that for women with only a high school diploma.The mean weeklypay for all women is lesser than that for women with only a highschool diploma. d.State the rejection rule: Reject H0 if t is -Select your answer -greater than or equal togreater thanless thanor equal toless thanequal tonot equal to the critical value.
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