Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Auto pistons at Wenming Chungim 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(roundyourresponsetotwodecimalplaces). b) What is the value of R ? R=mm(roundyourresponsetotwodecimalplaces). c) What are the UCLx^ and LCLx using 3-sigme? Lower Control Limt (LCL)=mm (round your response to two decimal places). a) What is the value of x ? 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 UCLand LCLusing 3-sigma? Upper Control Limit (UCL- U x)=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). e) If the true diameter mean should be 155mm and you want this as your center (nominal) line, what are the new CL, and LCLx ? Upper Control Limit (UCLEx)=mm (round your response to two decimal places). Lower Control Limit(LCLLx)=mm (round your response to two decimal places)