Refer to Table S61 - Factors for Computing Control Chart Limits (3.sigma) for this problem. Auto pistons at Womming 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: Mean x (mm) 154.9 155.2 153,6 155.5 158.6 Range R (mm) 4.4 4.6 Day 1 2 3 4 5 4.1 52 4.3 a) What is tho value of x2 156.56 mm (round your response to two decimal places) b) What is the value of R? R=4.62 mm (round your response to two decimal places) c) What are the UCL, and LCL, using 3-time? Upper Control Limit (UCL ) = 156.95 mm (round your response to wo decimal places) Lower Control Limit (LCL) - 154,18 mm (round your response to two decimal places) d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCL)- mm (round your response to two decimal places)