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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68af2a82-136f-43ad-abd4-a20a9bf6ea50%2F685d1200-bbc9-4873-bd34-a178a7dadec7%2Frcssm1f_processed.png&w=3840&q=75)
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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68af2a82-136f-43ad-abd4-a20a9bf6ea50%2F685d1200-bbc9-4873-bd34-a178a7dadec7%2Fsf0cnji_processed.png&w=3840&q=75)
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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