Question: Can I get help with part c? A random sample of 14 college women and a random sample of 19 college men were separately asked



Can I get help with part c?



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. Suppose the null hypothesis that the mean amount spent by men and the mean amount spent by women for clothing are the same could not be rejected using two-tailed test at a signicance level of 0.05. Complete parts a through c below. @ Click the icon to view the data table. (Z) a. If a 95% condence interval for the difference between means is found, would it capture 0? Explain. The 95% interval would not capture 0 because the hypothesis that the mean amounts spent on clothing are the same could not be rejected by the hypothesis test. The 95% interval would not capture 0 because there appears to be a difference between the mean amounts spent on clothing from looking at the data. The 95% interval would capture 0 because there does not appear to be a difference between the mean amounts spent on clothing from looking at the data. V The 95% interval would capture 0 because the hypothesis that the mean amounts spent on clothing are the same could not be rejected by the hypothesis test. b. If a 99% condence interval for the difference between means is found, would it capture 0? Explain. Yes, because a 99% interval is wider than a 95% interval and centred at the same value, and based on the results of the hypothesis test, a 95% interval would not capture 0. Yes, because a 99% interval is wider than a 95% interval and centred at the same value, and based on the results of the hypothesis test, a 95% interval would capture 0. No, because a 99% interval is narrower than a 95% interval and centred at the same value, and based on the results of the hypothesis test, a 95% interval would capture 0. No, because a 99% interval is narrower than a 95% interval and centred at the same value, and based on the results of the hypothesis test, a 95% interval would not capture 0. c. Find a 95% condence interval for the difference between means, and explain what it shows. Let the data for the women be the rst sample and let the data for the men be the second sample. Then the 95% confidence interval is (Round to the nearest tenth as needed.) MyStatLab Data Set 2 StatCrunch Applets Edit Data St Row Sex $clothes var3 m 160 f 170 m 110 155 80 6 0 0 J a UI A W N 80 200 m 20 m 30 30 11 m 180 12 m 200 13 m 40 14 f 160 15 130 16 m 140 17 m 180 18 160 19 m 60 20 m 40 21 m 225 22 m 30 23 m 110 24 m 130 25 f 80 26 m 70 27 m 110 28 m 200 29 H 190 30 180 31 m 70 32 140 f
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
