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A process is controlled with a fraction of nonconforming control chart with three-sigma limits, n=100, center line = 0.080. (a) Find the upper and lower control limits for the fraction of nonconforming chart (b) Find the equivalent control chart for the number of nonconforming. (c) Use the correct approximation to find the probability of a type II error if the process fraction of 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?

A process is controlled with a fraction of nonconforming control chart with three-sigma limits, n=100, center line = 0.080. (a) Find the upper and lower control limits for the fraction of nonconforming chart (b) Find the equivalent control chart for the number of nonconforming. (c) Use the correct approximation to find the probability of a type II error if the process fraction of 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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A process is controlled with a fraction of nonconforming control chart with three-sigma limits, n=100, center line = 0.080. (a) Find the upper and lower control limits for the fraction of nonconforming chart (b) Find the equivalent control chart for the number of nonconforming. (c) Use the correct approximation to find the probability of a type II error if the process fraction of 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?
Transcribed Image Text:A process is controlled with a fraction of nonconforming control chart with three-sigma limits, n=100, center line = 0.080. (a) Find the upper and lower control limits for the fraction of nonconforming chart (b) Find the equivalent control chart for the number of nonconforming. (c) Use the correct approximation to find the probability of a type II error if the process fraction of 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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