6. A fraction nonconforming chart has center line p = 0.10, UCL=0.20, and LCL=0.0 a). Assuming a 3-sigma chart is used, what is the sample size for the control chart for p. b). Use the Poisson approximation to the binomial to find the probability of a Type I error a. c). Use the Poisson approximation to find the Type II error if the actual fraction nonconforming = 0.15
6. A fraction nonconforming chart has center line p = 0.10, UCL=0.20, and LCL=0.0 a). Assuming a 3-sigma chart is used, what is the sample size for the control chart for p. b). Use the Poisson approximation to the binomial to find the probability of a Type I error a. c). Use the Poisson approximation to find the Type II error if the actual fraction nonconforming = 0.15
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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![6. A fraction nonconforming chart has center linep = 0.10, UCL=0.20, and LCL=0.0
a). Assuming a 3-sigma chart is used, what is the sample size for the control chart for p.
b). Use the Poisson approximation to the binomial to find the probability of a Type I error a.
c). Use the Poisson approximation to find the Type II error if the actual fraction nonconforming p = 0.15
e). If it is desired that the LCL should not be less than 0.02, what sample size n will guarantee this
value of the LCL. What is the corresponding value for UCL?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd463208-9981-4de8-aaa3-c51f9460da62%2Fa7c93227-2202-41da-bb18-cc47be8c7533%2Fd4y1tqh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. A fraction nonconforming chart has center linep = 0.10, UCL=0.20, and LCL=0.0
a). Assuming a 3-sigma chart is used, what is the sample size for the control chart for p.
b). Use the Poisson approximation to the binomial to find the probability of a Type I error a.
c). Use the Poisson approximation to find the Type II error if the actual fraction nonconforming p = 0.15
e). If it is desired that the LCL should not be less than 0.02, what sample size n will guarantee this
value of the LCL. What is the corresponding value for UCL?
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