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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 th 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 significance level of 0.05. Complete parts a through c below. Click the icon to view the data table. a. If a 95% confidence interval for the difference between means is found, would it capture 0? Explain. O A. 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. O B. 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. OC. 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. O D. 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. b. If a 99% confidence interval for the difference between means is found, would it capture 0? Explain. O A. No, because a 99% interval is narrower than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would capture 0. O B. No, because a 99% interval is narrower than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would not capture 0. OC. Yes, because a 99% interval is wider than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would capture 0. O D. Yes, because a 99% interval is wider than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would not capture 0. c. Find a 95% confidence interval for the difference between means, and explain what it shows. The 95% confidence interval for women - men is ( D (Round to the nearest tenth as needed.) Because the interval V capture 0, the hypothesis that the mean difference in spending on clothing is 0 V be rejected, which shows that the hypothesis that the means are the same V be rejected, and there significant difference.

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 th 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 significance level of 0.05. Complete parts a through c below. Click the icon to view the data table. a. If a 95% confidence interval for the difference between means is found, would it capture 0? Explain. O A. 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. O B. 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. OC. 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. O D. 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. b. If a 99% confidence interval for the difference between means is found, would it capture 0? Explain. O A. No, because a 99% interval is narrower than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would capture 0. O B. No, because a 99% interval is narrower than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would not capture 0. OC. Yes, because a 99% interval is wider than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would capture 0. O D. Yes, because a 99% interval is wider than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would not capture 0. c. Find a 95% confidence interval for the difference between means, and explain what it shows. The 95% confidence interval for women - men is ( D (Round to the nearest tenth as needed.) Because the interval V capture 0, the hypothesis that the mean difference in spending on clothing is 0 V be rejected, which shows that the hypothesis that the means are the same V be rejected, and there significant difference.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 significance level of 0.05. Complete parts a through c below. Click the icon to view the data table. a. If a 95% confidence interval for the difference between means is found, would it captu i Data Table A. The 95% interval would not capture 0, because the hypothesis that the mean am B. The 95% interval would capture 0, because there does not appear to be a differe Full Data Set O Sex $clothes Sex $clothes C. The 95% interval would capture 0, because the hypothesis that the mean amount 170 f 130 D. The 95% interval would not capture 0, because there appears to be a difference 140 130 130 m 130 b. If a 99% confidence interval for the difference between means is found, would it captu 75 135 40 70 A. No, because a 99% interval is narrower than a 95% interval and centered at the s f 90 m 190 f 70 m 180 B. No, because a 99% interval is narrower than a 95% interval and centered at the s 0. 170 f 120 C. Yes, because a 99% interval is wider than a 95% interval and centered at the san m 130 40 f 140 110 D. Yes, because a 99% interval is wider than a 95% interval and centered at the san 110 m 130 110 f 140 c. Find a 95% confidence interval for the difference between means, and explain what its 50 f 190 f 60 m 110 The 95% confidence interval for women – men is ( I D. f 170 f 160 (Round to the nearest tenth as needed.) m 100 f 170 m 50 Because the interval capture 0, the hypothesis that the mean difference in sp are the same be rejected, and there a significant difference. Print Done
Transcribed Image Text: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 significance level of 0.05. Complete parts a through c below. Click the icon to view the data table. a. If a 95% confidence interval for the difference between means is found, would it captu i Data Table A. The 95% interval would not capture 0, because the hypothesis that the mean am B. The 95% interval would capture 0, because there does not appear to be a differe Full Data Set O Sex $clothes Sex $clothes C. The 95% interval would capture 0, because the hypothesis that the mean amount 170 f 130 D. The 95% interval would not capture 0, because there appears to be a difference 140 130 130 m 130 b. If a 99% confidence interval for the difference between means is found, would it captu 75 135 40 70 A. No, because a 99% interval is narrower than a 95% interval and centered at the s f 90 m 190 f 70 m 180 B. No, because a 99% interval is narrower than a 95% interval and centered at the s 0. 170 f 120 C. Yes, because a 99% interval is wider than a 95% interval and centered at the san m 130 40 f 140 110 D. Yes, because a 99% interval is wider than a 95% interval and centered at the san 110 m 130 110 f 140 c. Find a 95% confidence interval for the difference between means, and explain what its 50 f 190 f 60 m 110 The 95% confidence interval for women – men is ( I D. f 170 f 160 (Round to the nearest tenth as needed.) m 100 f 170 m 50 Because the interval capture 0, the hypothesis that the mean difference in sp are the same be rejected, and there a significant difference. Print Done
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 significance level of 0.05. Complete parts a through c below. E Click the icon to view the data table. a. If a 95% confidence interval for the difference between means is found, would it capture 0? Explain. O A. 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. B. 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. C. 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. D. 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. b. If a 99% confidence interval for the difference between means is found, would it capture 0? Explain. A. No, because a 99% interval is narrower than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would capture 0. B. No, because a 99% interval is narrower than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would not capture 0. O C. Yes, because a 99% interval is wider than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would capture 0. D. Yes, because a 99% interval is wider than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would not capture 0. c. Find a 95% confidence interval for the difference between means, and explain what it shows. The 95% confidence interval for women - men is (Round to the nearest tenth as needed.) Because the interval capture 0, the hypothesis that the mean difference in spending on clothing is 0 be rejected, which shows that the hypothesis that the means are the same be rejected, and there significant difference.
Transcribed Image Text: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 significance level of 0.05. Complete parts a through c below. E Click the icon to view the data table. a. If a 95% confidence interval for the difference between means is found, would it capture 0? Explain. O A. 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. B. 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. C. 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. D. 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. b. If a 99% confidence interval for the difference between means is found, would it capture 0? Explain. A. No, because a 99% interval is narrower than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would capture 0. B. No, because a 99% interval is narrower than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would not capture 0. O C. Yes, because a 99% interval is wider than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would capture 0. D. Yes, because a 99% interval is wider than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would not capture 0. c. Find a 95% confidence interval for the difference between means, and explain what it shows. The 95% confidence interval for women - men is (Round to the nearest tenth as needed.) Because the interval capture 0, the hypothesis that the mean difference in spending on clothing is 0 be rejected, which shows that the hypothesis that the means are the same be rejected, and there significant difference.
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