Question: Refer to Table 56.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Auto pistons at Wemming Chung's plant Shanghai are produced

Refer to Table 56.1 - Factors for Computing

Refer to Table 56.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Auto pistons at Wemming Chung's plant 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: Mean Day Range R (mm) (mm) 156.9 4.4 2 153.2 4.8 3 151.6 3.9 157.5 5.2 5 158.6 4.7 a) What is the value of ? x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R = 4.60 mm (round your response to two decimal places). c) What are the UCL; and LCL; using 3-sigma? Upper Control Limit (UCL-) = 156.98 mm (round your response to two decimal places). Lower Control Limit (LCL:) = 154.14 mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCLR) = 8.17 mm (round your response to two decimal places). Lower Control Limit (LCLR) -mm (round your response to two decimal places)

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