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(Solved) 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.

Question: 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:

  1. What is the value of \(\bar{\bar{x}}\) ?
  2. What is the value of \(\bar{R}\) ?
  3. What are the UCL X and LCL X , using 3 \(\sigma \) ? Plot the data.
  4. What are the UCL R and LCL R , using 3 \(\sigma \) ? Plot the data.
  5. If the true diameter 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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Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document


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