A process is controlled with a fraction nonconforming control chart with three-sigma limits, n = 100, UCL
Question:
A process is controlled with a fraction nonconforming control chart with three-sigma limits, n = 100, UCL = 0.161, center line = 0.080, and LCL = 0.
(a) Find the equivalent control chart for the number nonconforming.
(b) Use the Poisson approximation to the binomial to find the probability of a type I error.
(c) Use the correct approximation to find the probability of a type II error if the process fraction nonconforming shifts to 0.2.
(d) What is the probability of detecting the shift in part (c) by at most the fourth sample after the shift?
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a Np10000808 b p 0080 01 and n100 is large so use Poisson approximation ...View the full answer
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