her Roter to Table 56.1. Eactors for Computing Control Chart Limits.(3.10m) for this problem Auto pistons at Womming Chung's plant in Shanghal are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizen of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Range R (mm) 4.0 Day 1 2 3 4 5 Mean x (mm) 158,9 1552 1536 1575 1546 4.4 43 52 4.7 a) What is the value of x? 2-mm (round your response to two decimal places). b) What is the value of R? Rupim (round your response to two decimal places). c) What are the UCL, and LCL, using 3-sigmo? Upper Control Limit (UCL) -mm (round your response to two decimal places). Lower Control Limit (LC) -mm (round your response to two decimal places). d) What are the UCL and LCL using 3-sigma? Next b) What is the value of R? Rumm (round your response to two decimal places), c) What are the UCL and LCL, using 3-sigma? Upper Control Limit (UCLA) = mm (round your response to two decimal places). Lower Control Limit (LCL:) = mm (round your response to two decimal places). a) What are the UCLA and L. CLR 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 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). Next NU 10 C P X W