Question: Athletic trainers have developed a new training protocol for elite athletes. A random sample of 28 elite athletes are chosen, and the time it takes
Athletic trainers have developed a new training protocol for elite athletes. A random sample of 28 elite athletes are chosen, and the time it takes them to run a mile is recorded. After training under the new protocol, the mile time is again recorded to determine if the new training protocol is effective.
Researchers defined thedifferences as mile timesafterthe new training protocolminusmile timesbeforethe training protocol. A 95% confidence interval for the true mean difference was calculated.
Assuming all requirements are met, what is the margin of error for a 95% confidence interval for the true mean difference of mile times?
(Round your answer to three decimal places.)
| After | Before |
| 252.8 | 243.7 |
| 230.1 | 253.7 |
| 269.5 | 266.3 |
| 250.7 | 238.7 |
| 268.8 | 287.9 |
| 241.7 | 255.9 |
| 252 | 244.2 |
| 241.5 | 249.4 |
| 238.3 | 267.4 |
| 263.4 | 264.1 |
| 236.1 | 227.9 |
| 232.8 | 275.5 |
| 236.3 | 246.0 |
| 247.9 | 248.2 |
| 254.7 | 272.2 |
| 281.2 | 272.2 |
| 217.7 | 240.1 |
| 236.1 | 249.6 |
| 257.4 | 282.1 |
| 252.2 | 284.8 |
| 224.1 | 249.6 |
| 257.4 | 282.1 |
| 252.2 | 284.8 |
| 255.9 | 249.8 |
| 243.3 | 259.4 |
| 241.0 | 234.7 |
| 238.3 | 244.4 |
| 256.4 | 259.9 |
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