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 AN Mean x (mm) 156.9 153.2 153.6 153.5 154.6 Range R (mm) 4.2 4.8 3.9 4.8 4.7 5 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). Refer to Table S61. Factors for Computing Control Chart Limits:(3.sigma) for this problem Auto pistons at Wemming Chung's plant in Shanghal 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 the i Definition - X THU 22 a) What is 29 Sample Size, n 2 3 4 5 6 7 8 9 10 12 Mean Factor, . 1.880 1023 0.729 0.577 0.483 0.419 0 373 0.337 0.308 0.266 Upper Range D. 3.268 2.574 2.282 2 115 2004 193 1 864 1.816 1.777 1.716 Lower Range D O 0 0 0 0 0.076 0.136 0.184 0.223 0.284 b) What is c) What are Print Done Upper Lower Control Limit (LC) mm (round your response to two decimal places) PM Scor Enter your answer in each of the answer boxes ? a) What is the value of 2 X = mm (round your response to two decimal places) b) What is the value of R? R=0 mm (round your response to two decimal places) c) What are the UCL; and LCL; using 3-sigma? Upper Control Limit (UCL3) = 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 (UCLA) = mm (round your response to two decimal places). Lower Control Limit (LCLR) = mm (round your response to two decimal places) e) If the true diameter mean should be 155 mm and you want this as your center (nominal) line, what are the new UCL, and LCL? Upper Control Limit (UCL;) = mm (round your response to two decimal places) Lower Control Limit (LCL;) = mm (round your response to two decimal places)