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The 95% confidence interval for the difference between means (Baseball minus Soccer) is (Round to two decimal places as needed. Use ascending order.)

The 95% confidence interval for the difference between means (Baseball minus Soccer) is (Round to two decimal places as needed. Use ascending order.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Weights (in pounds) Full Data Set 9 Baseball Soccer Baseball Soccer 185 157 177 149 191 180 203 159 182 175 190 165 172 176 172 150 187 177 173 145 196 182 187 163 175 164 195 170 171 174 189 174 200 162 173 164 216 173 182 180 219 158 184 148 189 181 180 155 160 176 ....... ......i
Transcribed Image Text:Weights (in pounds) Full Data Set 9 Baseball Soccer Baseball Soccer 185 157 177 149 191 180 203 159 182 175 190 165 172 176 172 150 187 177 173 145 196 182 187 163 175 164 195 170 171 174 189 174 200 162 173 164 216 173 182 180 219 158 184 148 189 181 180 155 160 176 ....... ......i
A random sample of male college baseball players and a random sample of male college soccer players were obtained independently and weighed. The accompanying table shows the unstacked weights (in pounds). The distributions of both data sets suggest that the population distributions are roughly Normal. Using a two-tailed test with a significance level of 0.05, the null hypothesis that the mean weights of soccer and baseball players are equal is rejected. 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 was found, would it capture 0? Explain. O A. The 95% interval would capture 0, because there does not appear to be a difference between the mean weights from looking at the data. B. The 95% interval would not capture 0, because there appears to be a difference between the mean weights from looking at the data. Oc. The 95% interval would not capture 0, because the hypothesis that the mean weights are the same is rejected by the hypothesis test. O D. The 95% interval would capture 0, because the hypothesis that the mean weights are the same is not rejected by the hypothesis test. b. If a 90% confidence interval for the difference between means was found, would it capture 0? Explain. No, because a 90% interval is narrower than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 90% 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 the difference between means (Baseball minus Soccer) is (Round to two decimal places as needed. Use ascending order.)
Transcribed Image Text:A random sample of male college baseball players and a random sample of male college soccer players were obtained independently and weighed. The accompanying table shows the unstacked weights (in pounds). The distributions of both data sets suggest that the population distributions are roughly Normal. Using a two-tailed test with a significance level of 0.05, the null hypothesis that the mean weights of soccer and baseball players are equal is rejected. 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 was found, would it capture 0? Explain. O A. The 95% interval would capture 0, because there does not appear to be a difference between the mean weights from looking at the data. B. The 95% interval would not capture 0, because there appears to be a difference between the mean weights from looking at the data. Oc. The 95% interval would not capture 0, because the hypothesis that the mean weights are the same is rejected by the hypothesis test. O D. The 95% interval would capture 0, because the hypothesis that the mean weights are the same is not rejected by the hypothesis test. b. If a 90% confidence interval for the difference between means was found, would it capture 0? Explain. No, because a 90% interval is narrower than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 90% 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 the difference between means (Baseball minus Soccer) is (Round to two decimal places as needed. Use ascending order.)
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