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Suppose that the sample means and ranges are calculated for 36 samples of size n =...

Suppose that the sample means and ranges are calculated for 36 samples of size n = 5 for a process that is considered under statistical control. Then the mean of the 36 sample means and ranges are calculated, yielding  20.50 and 5.60, respectively:

  1. Determine the value of the process capability index if the process specification limits are 20 +- 6  .
  2. Is the process capable?
Math   Statistics-And-Probability   
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Answer #1

=2.4075

The upper specification limit ,USL= 20+6=26

The Lowe Specification limit,LSL= 20-6 =14

Process capability,CP=

= 0.8307

=min(0.76150,0.89996)

Process capability index,CPK= 0.76150

Here CPK<CP.So the varaiation in performance is high.

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