Points: 0.5 of 1 Save 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? Expla X Weights (in pounds) O A. The 95% interval would capture 0, because the hypothesis that the mean weights are the sam O B. The 95% interval would not capture 0, because there appears to be a difference between the Full Data Set C. The 95% interval would not capture 0, because the hypothesis that the mean weights are the Baseball Soccer Baseball Soccer 62 186 158 O D. The 95% interval would capture 0, because there does not appear to be a difference between 189 206 169 186 186 b. If a 90% confidence interval for the difference between means was found, would it capture 0? Expla 194 171 180 183 178 159 No, because a 90% interval is narrower than a 95% interval and centered at the same value, ar 189 183 184 151 203 187 195 170 c. Find a 95% confidence interval for the difference between means, and explain what it shows. 187 166 200 177 The 95% confidence interval for the difference between means (Baseball minus Soccer) is (, ) 73 183 197 183 (Round to two decimal places as needed. Use ascending order.) 206 184 170 21 181 193 186 230 165 CO 153 196 192 182 161 165 185