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Business, 08.07.2020 19:01 Maria3737

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 samples sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean (mm) Range (mm)
1 156.9 4.2
2 153.2 4.6
3 153.6 4.1
4 155.5 5.0
5 156.6 4.5
a. What is the value of ˉˉx?
b. What is the value of ˉR?
c. What are the UCL ¯x and LCL ¯xusing 3σ? Plot the data.
d. What are the UCLR and LCLR using 3σ? Plot the data.
e. If the true diameter's mean should be 155 mm and you want this as your center (nominal) line, what are the new UCL ¯x and LCL ¯x ?

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