Consider the control chart for individuals with 3-sigma limits. (a) Suppose that a shift in the process

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Consider the control chart for individuals with 3-sigma limits.

(a) Suppose that a shift in the process mean of magnitude σ occurs. Verify that the ARL for detecting the shift is ARL = 43.9.

(b) Find the ARL for detecting a shift of magnitude 2σ in the process mean.

(d) Compare your responses to parts (a), (b), and (c) and explain why the ARL for detection is decreasing as the magnitude of the shift increases.

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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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Consider the control chart for individuals with 3-sigma limits. (a) Suppose that a shift in the process

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ARL 1p where p is the probability a point falls outside the control li...View the full answer

Applied Statistics And Probability For Engineers

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