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Question
Construct 3-sigma X-bar and R-charts using the data in the table. What conclusions can you draw about the state of control for this process?
| Sample # | Observation 1 | Observation 2 | Observation 3 | Observation 4 |
| 1 | 0.486 | 0.499 | 0.493 | 0.511 |
| 2 | 0.499 | 0.506 | 0.516 | 0.494 |
| 3 | 0.496 | 0.5 | 0.515 | 0.488 |
| 4 | 0.495 | 0.506 | 0.483 | 0.487 |
| 5 | 0.472 | 0.502 | 0.526 | 0.469 |
| 6 | 0.473 | 0.495 | 0.507 | 0.493 |
| 7 | 0.495 | 0.512 | 0.49 | 0.471 |
| 8 | 0.525 | 0.501 | 0.498 | 0.474 |
| 9 | 0.497 | 0.501 | 0.517 | 0.506 |
| 10 | 0.495 | 0.505 | 0.516 | 0.511 |
A) X-bar chart is out of control but the R-chart is in control
B) the X-bar chart is out of control and the R-chart is also out of control
C) the X-bar chart and the R-chart are both in control
D) the X-bar chart is in control but the R-chart is out of control
Answer
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