Question: Auto pistons are produced in a forging process, and the average diameter is a critical factor that must be controlled. From samples collected on 5
Auto pistons are produced in a forging process, and the average diameter is a critical factor that must be controlled. From samples collected on 5 different days (one sample each day, each sample contains 10 pistons), the mean and the range of the diameters have been measured as follows:
| Day | Mean (mm) | Range (mm) |
| 1 | 154.9 | 4.4 |
| 2 | 153.2 | 4.8 |
| 3 | 151.6 | 4.3 |
| 4 | 153.5 | 4.8 |
| 5 | 156.6 | 4.5 |
Assuming 99.73% as the confidence level, choose the right control chart for controlling the average diameter and find its lower control limit.
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