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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