The following table contains the measurements of the key length dimension from a fuel injector. These samples of size five were taken at one-hour intervals.
| SampleNumber |
Observations |
| 1 |
2 |
3 |
4 |
5 |
| 1 |
0.486 |
0.499 |
0.493 |
0.511 |
0.481 |
| 2 |
0.499 |
0.506 |
0.516 |
0.494 |
0.529 |
| 3 |
0.496 |
0.5 |
0.515 |
0.488 |
0.521 |
| 4 |
0.495 |
0.506 |
0.483 |
0.487 |
0.489 |
| 5 |
0.472 |
0.502 |
0.526 |
0.469 |
0.481 |
| 6 |
0.473 |
0.495 |
0.507 |
0.493 |
0.506 |
| 7 |
0.495 |
0.512 |
0.49 |
0.471 |
0.504 |
| 8 |
0.525 |
0.501 |
0.498 |
0.474 |
0.485 |
| 9 |
0.497 |
0.501 |
0.517 |
0.506 |
0.516 |
| 10 |
0.495 |
0.505 |
0.516 |
0.511 |
0.497 |
| 11 |
0.495 |
0.482 |
0.468 |
0.492 |
0.492 |
| 12 |
0.483 |
0.459 |
0.526 |
0.506 |
0.522 |
| 13 |
0.521 |
0.512 |
0.493 |
0.525 |
0.51 |
| 14 |
0.487 |
0.521 |
0.507 |
0.501 |
0.5 |
| 15 |
0.493 |
0.516 |
0.499 |
0.511 |
0.513 |
| 16 |
0.473 |
0.506 |
0.479 |
0.48 |
0.523 |
| 17 |
0.477 |
0.485 |
0.513 |
0.484 |
0.496 |
| 18 |
0.515 |
0.493 |
0.493 |
0.485 |
0.475 |
| 19 |
0.511 |
0.536 |
0.486 |
0.497 |
0.491 |
| 20 |
0.509 |
0.49 |
0.47 |
0.504 |
0.512 |
Construct a three-sigma -chart and R-chart for the length of the fuel injector. What can you say about this process?