Refer to Table S6,1 - Factors for Computing Control Chart Limits (3.sigma) for this problem. 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 1 2 3 4 5 Mean x (mm) 158.9 1552 155,6 153.5 1586 Range R (mm) 42 4.8 3.9 4.8 4.7 a) What is the value of ? X=[...] mm (round your response to two decimal places). b) What is the value of R? R=[mm (round your response to two decimal places). c) What are the UCL; and LCL; using 3-sigma? Upper Control Limit (UCL;) = mm (round your response to two decimal places). Lower Control Limit (LCL;) = mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCLR) = mm (round your response to two decimal places). Lower Control Limit (LCLR) mm (round your response to two decimal places)