Auto pistons at Wemming​ Chung's plant in Shanghai are produced in a forging​ process, and the ...

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

a) What is the value of x?
- mm (round your response to two decimal places)

b) What IS the value of R?
mm (round your response to two decimal places).

c) What are the UCL- and LCL- using 3.sigma?
Upper Control Limit (UCL-) = C] mm (round your response to two decimal places).
Lower Control Limit (LCL-) = mm (round your response to two decimal places).

d) What are the UCLR and LCLR using 3-sigma?
Upper Control Limit (UCLR) = mm (round your response to two decimal places)
Lower Control Limit (LCL R) = mm (round your response to two decimal p/aces)_

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-?
Upper Control Limit (UCL-) = mm (round your response to avo decimal places).
Lower Control Limit (LCL- ) = mm (round your response to two decimal places).