Researchers at the Wharton School of Business have found that men and women shop for different reasons.

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Researchers at the Wharton School of Business have found that men and women shop for different reasons. While women enjoy the shopping experience, men are on a mission to get the job done. Men do not shop as frequently, but when they do, they make big purchases like expensive electronics. The accompanying table shows a portion of the amount spent over the weekend by 40 men and 60 women at a local mall.

Spending by Men ($).................. Spending by Women ($)

85................................................................... 90

102..................................................................79

⋮.......................................................................⋮

a. Specify the competing hypotheses to determine whether the median amount spent by men is more than the amount spent by women.

b. Calculate the value of the test statistic W. Assume the normal approximation for W.

c. Calculate the p-value.

d. At the 5% significance level, is there sufficient evidence to conclude that the median amount spent by men is greater than the median amount spent by women? Explain.

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