Refer to Table 56.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Auto pistons at Wemming Chung's plant in Shanghal are produced in a forgling 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: Range R (mm) Day 1 2 3 4 5 Mean x (mm) 154.9 155.2 153.6 157.5 158.8 4.0 4.6 3.9 4.8 4.3 a) What is the value of x? x = 155.96 mm (round your response to two decimal places). * Definition b) What is the value of R? R = 4.32 mm (round your response to two decimal places). Sample Size, n c) What are the UCL; and LCL; using 3-sigma? Upper Control Limit (UCL;) = 157.29 mm (round your response to two decimal places). 2 3 4 5 6 Lower Control Limit (LCL) = 154.63 mm (mund your response to two decimal places). d) What are the UCLR and LCLR using 3-sigme? Mean Factor, Az 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.286 Upper Range D 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 Lower Range, Dy 0 0 0 0 0 0.076 0.136 0.184 0.223 0.284 7 8 9 10 12 Upper Control Limit (UCLR)= mm (round your response to two decimal places). Print Done