[Solved] A production engineer claims that there is no difference in the mean nut diameter manufactured by two different methods. The first method produces
Question: A production engineer claims that there is no difference in the mean nut
diameter manufactured by two different methods. The first method produces nuts with the following diameters (in centimeters).
| 3.33 | 3.337 | 3.329 | 3.354 | 3.325 | 3.343 | 3.333 | 3.347 | 3.332 | 3.358 |
| 3.353 | 3.335 | 3.341 | 3.331 | 3.327 | 3.326 | 3.337 | 3.336 | 3.323 | 3.347 |
| 3.329 | 3.345 | 3.329 | 3.338 | 3.353 | 3.339 | 3.338 | 3.338 | 3.35 | 3.32 |
| 3.364 | 3.34 | 3.348 | 3.339 | 3.336 | 3.321 | 3.316 | 3.352 | 3.32 | 3.336 |
The second method produces nuts with theses diameters (in centimeters).
| 3.513 | 3.490 | 3.498 | 3.504 | 3.483 | 3.512 | 3.494 | 3.514 | 3.495 | 3.489 |
| 3.493 | 3.499 | 3.497 | 3.495 | 3.496 | 3.485 | 3.506 | 3.517 | 3.484 | 3.498 |
| 3.522 | 3.505 | 3.501 | 3.491 | 3.500 | 3.499 | 3.475 | 3.486 | 3.501 | 3.496 |
| 3.504 | 3.513 | 3.511 | 3.501 | 3.487 | 3.508 | 3.515 | 3.505 | 3.496 | 3.505 |
Use an alpha level of .01 and test the hypothesis that the two methods are producing the same mean.
Deliverable: Word Document 
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