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# Consider a process where you are to design a fraction nonconforming control chart with three sigma limits. Assume n = 100, and p = 0.080.

Consider a process where you are to design a fraction nonconforming control chart with three sigma limits. Assume *n* = 100, and *p* = 0.080.

- What are the three-sigma limits for the
*p*-chart? - Calculate the probability of a Type I error. What is the ARL
_{0}for this process? - Construct the O-C curve for this process.
- Suppose the process fraction nonconforming shifts to p
_{1}= 0.15.- A. Compute the probability of a Type II error and the ARL
_{1}for this shift. - B. What is the probability of detecting the shift to p
_{1}= 0.15 by at most the fourth sample after the shift?

- A. Compute the probability of a Type II error and the ARL

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To solve this problem we will use the concepts of pchart threesigma limits Type I error Average Run Length ARL and the Operating Characteristic OC cur...### Get Instant Access to Expert-Tailored Solutions

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