Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Auto pistons at Wemming 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: Day 1 2 Mean x (mm) 154.9 151.2 151.6 157.5 158.6 Range R (mm) 4.0 4.6 3.9 4.8 4.5 3 4 5 a) What is the value of x? = x = 154.76 mm (round your response to two decimal places). b) What is the value of R? R= = mm (round your response to two decimal places). Mean Factor, Sample Size, n Upper Range, Lower Range, A2 D4 D3 0 0 0 2 3 4 5 6 7 8 9 10 12 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.266 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 0 0.076 0.136 0.184 0.223 0.284