Refer to Table S5.1-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: Range R Day (mm) (mm) Mean x 1 2 3 4 5 154.9 155.2 153.6 155,5 158.6 4.4 4.6 4.1 5.2 4.3 a) What is the value of of a x 155,56 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 plocos). c) What are the UCL, and LCL, using 3-sigma? Upper Control Limit (UCL) mm (round your response to two decimal places)