[All Steps] Mean of Paired Differences . At a local high school, 18 students were randomly chosen to participate in a study to determine the effectiveness
Question: Mean of Paired Differences . At a local high school, 18 students were randomly chosen to participate in a study to determine the effectiveness of a new exercise program. The number of push ups that each student could do was recorded and a thirty-day exercise programs was administered. Once the program was completed, the number of push ups students could do was once again recorded. The results are in the table below:
| Before | 12 | 15 | 8 | 11 | 10 | 17 | 21 | 16 | 13 | 7 | 12 | 16 | 19 | 5 | 15 | 12 | 18 | 20 |
| After | 15 | 16 | 12 | 18 | 14 | 26 | 28 | 18 | 17 | 11 | 15 | 18 | 23 | 10 | 17 | 17 | 21 | 32 |
| Difference | 3 | 1 | 4 | 7 | 4 | 9 | 7 | 2 | 4 | 4 | 3 | 2 | 4 | 5 | 2 | 5 | 2 | 12 |
Find the 95% CI for the mean difference µ
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