(Solution Library) The diameter of a ball bearing was measured by 12 inspectors, each using two different kinds of calipers. The results were Inspector Caliper
Question: The diameter of a ball bearing was measured by 12 inspectors, each using two different kinds of calipers. The results were
| Inspector | Caliper 1 | Caliper 2 |
| 1 | 0.265 | 0.264 |
| 2 | 0.265 | 0.265 |
| 3 | 0.266 | 0.264 |
| 4 | 0.267 | 0.266 |
| 5 | 0.267 | 0.267 |
| 6 | 0.265 | 0.268 |
| 7 | 0.267 | 0.264 |
| 8 | 0.267 | 0.265 |
| 9 | 0.265 | 0.265 |
| 10 | 0.268 | 0.267 |
| 11 | 0.268 | 0.268 |
| 12 | 0.265 | 0.269 |
- Is there a significant difference between the means of the population of measurements from which the two samples were selected? Use \(\alpha=0.05\)
- Find the \(P\) -value for the test in part (a).
- Construct a 95 percent confidence interval on the difference in mean diameter measurements for the two types of calipers.
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