One of our samples fell outside the control limits. We just concluded that based

Question

One of our samples fell outside the control limits. We just concluded that based on the 20 samples we took, “the process is not in control”

How sure are we that our conclusion is correct?

100%

99.74%

95.45%

What is the probability that our conclusion is wrong? What is this probability called? (see slide no. 26 “Judgment Errors)

0%

0.26%

0.13%

4.55%

2.27%

Currently our z-score used in the excel file is 3.01. What is the effect of using a lower z-score (let’s say z=2)? Answer above two questions one more time for when we apply a z-score of 2 (instead of 3.01).

Explanation / Answer

99.45%

We are 99.45% sure that our conclusion is correct

0.13%

Is the probability that our conslusion is wrong

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