S6.7 Auto pistons at Yongpin Zhou's plant in Shanghas 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: a. What is the value of x ? b. What is the value of R ? c. What are the UCLx and LCLx using 3 ? d. What are the UCLR and LCLR using 3 ? e. If the true diameter mean should be 155mm and you want this as your center (nominal) line, what are the new UCLx and LCLx ? f. Plot the chart for c) and d)