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Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled.

Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows

Day Mean x (mm) Range R (mm)

1

156.9 4.4
2 151.2 4.4
3 151.6 4.1
4 153.5 5.2
5 156.6 4.3

If the true diameter mean should be 155 mm and you want this as your center (nominal) line, what are the new UCLx and LCLx?

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