Question

In: Statistics and Probability

A process in control has an estimated standard deviation of 2 mm. The product produced by...

  1. A process in control has an estimated standard deviation of 2 mm. The product produced by this process has specification limits of 120 ± 8 mm and a target value of 120 mm.
    1. Calculate the process capability indices Cp and Cpk for the process if the process mean shifts from 118 mm first to 122 mm and then to 124 mm, but the process variability remains the same.
    2. What will be the yield of the process for each of three situations (mean =118, 122, and 124)

Solutions

Expert Solution

Solution...

The figure shows the process distributions for different values of the process mean...

For the mean to be 118, the calculations are:

The corresponding value of Cp will be same for all the means i.e 118, 122 and 124 respectively.

Thus all the values of Cp, Cpk... etc. for all the process means are stated in the table above... The yield part will be uploaded shortly.


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