6. A random sample of 14 college women and a random sample of 19 college men...
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6. A random sample of 14 college women and a random sample of 19 college men were separately asked to estimate how much they spent on clothing in the last month. The accompanying table shows the data. Test the hypothesis that the population mean amounts spent on clothes are different for men and women. Use a significance level of 0.05. Assume that the distributions are Normal enough to use the t-test. 1 Click the icon to view the data table. Determine the hypotheses for this test. Let be the population mean amount spent on clothes in one month for women, and let m be the population mean amount spent on clothes in one month for men. Choose the correct answer below. A. Hoi Hw = Hm < HA: HwHm D. How m HA: Hw>m Find the test statistic for this test. t= (Round to two decimal places as needed.) Find the p-value for this test. B. Ho: HwHm HA: Hw =m E. How m HA: HwHm # OC. How m HA: Hw =m OF. Ho Hwm HA: Hw =m p-value = (Round to three decimal places as needed.) What is the conclusion for this test? A. Reject Ho. Mean amounts spent on clothes are significantly different for men and women. B. Do not reject Ho. Mean amounts spent on clothes are not significantly different for men and women. C. Do not reject Ho. Mean amounts spent on clothes are significantly different for men and women. D. Reject Ho. Mean amounts spent on clothes are not significantly different for men and women. PM C Full Data Set Sex $ Clothes Sex $ Clothes m f 110 f 90 140 m 130 m 90 m 210 f 75 m 225 f 90 m 150 f 50 m 110 f 180 m 10 10 m 190 f 170 m 110 m 30 f 120 m 40 m 170 m 190 m 140 f 210 m 120 f 210 f 80 m 160 f 50 f 110 m 160 f 40 3 10 6. A random sample of 14 college women and a random sample of 19 college men were separately asked to estimate how much they spent on clothing in the last month. The accompanying table shows the data. Test the hypothesis that the population mean amounts spent on clothes are different for men and women. Use a significance level of 0.05. Assume that the distributions are Normal enough to use the t-test. 1 Click the icon to view the data table. Determine the hypotheses for this test. Let be the population mean amount spent on clothes in one month for women, and let m be the population mean amount spent on clothes in one month for men. Choose the correct answer below. A. Hoi Hw = Hm < HA: HwHm D. How m HA: Hw>m Find the test statistic for this test. t= (Round to two decimal places as needed.) Find the p-value for this test. B. Ho: HwHm HA: Hw =m E. How m HA: HwHm # OC. How m HA: Hw =m OF. Ho Hwm HA: Hw =m p-value = (Round to three decimal places as needed.) What is the conclusion for this test? A. Reject Ho. Mean amounts spent on clothes are significantly different for men and women. B. Do not reject Ho. Mean amounts spent on clothes are not significantly different for men and women. C. Do not reject Ho. Mean amounts spent on clothes are significantly different for men and women. D. Reject Ho. Mean amounts spent on clothes are not significantly different for men and women. PM C Full Data Set Sex $ Clothes Sex $ Clothes m f 110 f 90 140 m 130 m 90 m 210 f 75 m 225 f 90 m 150 f 50 m 110 f 180 m 10 10 m 190 f 170 m 110 m 30 f 120 m 40 m 170 m 190 m 140 f 210 m 120 f 210 f 80 m 160 f 50 f 110 m 160 f 40 3 10
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