Question: A process considered to be in control measures an ingredient in ounces. A quality inspector took 10 samples, each with 5 observations as follows: Samples
A process considered to be in control measures an ingredient in ounces. A quality inspector took 10 samples, each with 5 observations as follows:
| Samples | Observations | ||||
| 1 | 2 | 3 | 4 | 5 | |
| 1 | 10 | 9 | 10 | 9 | 12 |
| 2 | 9 | 9 | 11 | 11 | 10 |
| 3 | 13 | 9 | 10 | 10 | 9 |
| 4 | 10 | 10 | 11 | 10 | 10 |
| 5 | 12 | 10 | 9 | 11 | 10 |
| 6 | 10 | 10 | 8 | 12 | 9 |
| 7 | 10 | 11 | 10 | 8 | 9 |
| 8 | 13 | 10 | 8 | 10 | 8 |
| 9 | 8 | 8 | 12 | 12 | 9 |
| 10 | 10 | 12 | 9 | 8 | 12 |
- Using this information, obtain three-sigma (i.e., z=3) control limits for a mean control chart and control limits for a range chart, respectively. It is known from previous experience that the standard deviation of the process is 1.36.
- Discuss whether the process is in control or not.
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