Refer to Table S6.1-Factors for Computing Control Chart Limits (3 sigma) for this problem. Auto pistons at Wenming 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: a) What is the value of x? X= mm (round your response to two decimal places). Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 151.6 157.5 158.6 Range R (mm) 4.2 4.8 3.9 5.2 4.7

Reler to Tabie S61. - Fictors for Comouling Control Char Limits (3 sigme) ior this problem. Auto pistors at Werming Chung's plant in Shanghal are produced in a forging process, and the diametor is a critical factor that must be contrelied, From sarnple sirss of 10 patons produced each day, the mean and the range of this dianeler have been as foliow: a) What is the value of x ? in =mon (round your miponse to two decimal places). a) What is the value of x ? x=mm(roundyourresponsetomodecimalplaces). b) What is the value of R ? R=1mm (round your response to two docimal places). c) What are the UCL; and LCLx using 3-sigma? Upper Control Limit (UCLx)=7 " 7 ' mm (round your response to two decimal places). Lower Control Limit (LCLx)=F1 nm (round your response to fwo decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCLR)={1 Tm (round your response to fwo decimal places). e) If the true diameter mean should be 155mm and you want this as your center (nominal) line, what are the new UCL; and LCLx ? Upper Control Limit (UCLx)=T,+mm (round your response to two decimal places). Definition