Question: Control charts are to be constructed for a process turning the outside diameter of a control instrument cylinder using 24 samples of size n=4. The

  1. Control charts are to be constructed for a process turning the outside diameter of a control instrument cylinder using 24 samples of size n=4. The diameter has specifcation of 350 5mm. The charts x =8,398.32mm and R =116.64mm. Note the precision of measurements for the charts. Daily production rate is 20,000 cylinders.
  1. Assume the charts show that the process is in good statistical control. What percent of parts produced will be nonconforming if this process continues under a constant system of common causes and can be approximated by normal distribution?
  2. If the cost of reworking an oversized cylinder is $0.08 and the lost revenue for scrapping an undersized cylinder is $0.03, what is the monthly revenue lost on average? Assume 30 days in a month

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