auto pistons at wemming chung's plant And 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 main in the range of this diameter have been as follows:and Shanghai are produced in a foraging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the main in the range of this diameter have been as follows

158.9 155.2 155.6 155.5 156.6 a) What is the value of ? x m m (round your response to two decimal places) b) What is the value of R? Please copy and paste data from text area below. R- mm (round your response to two decimal places). Selected delimiter: Tab c) What are the UCL; and LCL, using 3-sigma? Day Mean Xbar (mm) Range R (mm) 158.9 4.0 Upper Control Limit (UCL;) mm (round your response to two decimal places). 155.2 4.8 155.6 3.9 Lower Control Limit (LCL;) - mm (round your response to two decimal places). 155.5 5.2 d) What are the UCLR and LCLR using 3-sigma? Done Upper Control Limit (UCLR)= mm (round your response to two decimal places). Lower Control Limit (LCLR) = mm (round your response to two decimal places). e) If the true diameter mean should be 155 mm and you want this as your center (nominal) line, what are the new UCL, and LCL;? 156.6 Upper Control Limit (UCL) = mm (round your response to two decimal places). Lower Control Limit (LCL)- mm (round your response to two decimal places)