Suppose that a process is in control and an X chart is used with a sample size of 4 to monitor the process Suddenly there is a mean shift of 1 5 (a) If 3 sigma control limits are used on the X chart, what is the probability that this shift remains undetected for three consecutive samples (b) If 2 s...

a Let p denote the probability that a point plots outside of the control limits when ...

Suppose that a process is in control and an X chart is used with a sample size

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Suppose that a process is in control and an X chart is used with a sample size of 4 to monitor the process. Suddenly there is a mean shift of 1.5σ.

(a) If 3-sigma control limits are used on the X chart, what is the probability that this shift remains undetected for three consecutive samples?

(b) If 2-sigma control limits are in use on the X chart, what is the probability that this shift remains undetected for three consecutive samples?

(c) Compare your answers to parts (a) and (b) and explain why they differ. Also, which limits you would recommend using and why?

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Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

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Question Posted: Jul 07, 2018 01:57 PM

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Suppose that a process is in control and an X chart is used with a sample size

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Applied Statistics And Probability For Engineers

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