Factors for Computing Control Chart Limits (3 sigma) 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 4.2 2 153.2 4.6 3 153.6 4.1 4 155.5 5.0 5 156.6 4.5 Part 4 c) What are the (UCLx) and (LCLx) using ​3-sigma​? ​(UCLx​) =   mm ​(round your response to two decimal​ places). (LCLx) = mm

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Factors for Computing Control Chart Limits (3 sigma)

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

4.2

2

153.2

4.6

3

153.6

4.1

4

155.5

5.0

5

156.6

4.5

Part 4 c) What are the (UCLx) and (LCLx) using ​3-sigma​?

​(UCLx​) =   mm ​(round your response to two decimal​ places).

(LCLx) = mm

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