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An x control chart with the 3-sigma control limits and sample size of n = 5 is used for monitoring a process mean shift. In order to enhance detection sensitivity, a 2-sigma limit is also used as the warning limit. The decision of when a chart should signal is based on m = 3 successive samples using the following rule: Rule: If exactly two out of the three sample means fall outside the 2-sigma warning limits, the chart signals. What is the Type error using this rule? [blank] [Hint: First find the type I error for 2-sigma warning limits and then express the type I error of using rule 1 in terms of 2-sigma warning limits.](Provide your answer with 4 significant decimal digits)

An x control chart with the 3-sigma control limits and sample size of n = 5 is used for monitoring a process mean shift. In order to enhance detection sensitivity, a 2-sigma limit is also used as the warning limit. The decision of when a chart should signal is based on m = 3 successive samples using the following rule: Rule: If exactly two out of the three sample means fall outside the 2-sigma warning limits, the chart signals. What is the Type error using this rule? [blank] [Hint: First find the type I error for 2-sigma warning limits and then express the type I error of using rule 1 in terms of 2-sigma warning limits.](Provide your answer with 4 significant decimal digits)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 6 An x control chart with the 3-sigma control limits and sample size of n = 5 is used for monitoring a process mean shift. In order to enhance detection sensitivity, a 2-sigma limit is also used as the warning limit. The decision of when a chart should signal is based on m = 3 successive samples using the following rule: Rule: If exactly two out of the three sample means fall outside the 2-sigma warning limits, the chart signals. What is the Type I error using this rule? [blank] [Hint: First find the type I error for 2-sigma warning limits and then express the type I error of using rule 1 in terms of 2-sigma warning limits.](Provide your answer with 4 significant decimal digits)
Transcribed Image Text:Question 6 An x control chart with the 3-sigma control limits and sample size of n = 5 is used for monitoring a process mean shift. In order to enhance detection sensitivity, a 2-sigma limit is also used as the warning limit. The decision of when a chart should signal is based on m = 3 successive samples using the following rule: Rule: If exactly two out of the three sample means fall outside the 2-sigma warning limits, the chart signals. What is the Type I error using this rule? [blank] [Hint: First find the type I error for 2-sigma warning limits and then express the type I error of using rule 1 in terms of 2-sigma warning limits.](Provide your answer with 4 significant decimal digits)
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