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X and R control charts have been implemented for a critical quality characteristic of a product. The sample size used is six units. After collecting 30 process samples for this product, the  means and deviations of these samples were calculated.  The mean

X and R control charts have been implemented for a critical quality characteristic of a product. The sample size used is six units. After collecting 30 process samples for this product, the  means and deviations of these samples were calculated.  The mean

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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X and R control charts have been implemented for a critical quality characteristic of a product.
The sample size used is six units. After collecting 30 process samples for this product, the 
means and deviations of these samples were calculated. 
The means and variances of these samples were calculated and the following was found:

(image)

a) Find the three sigma control limits for this plot. 
Assume later that the process is statistically controlled.

b) If a special cause causes the process mean to change to 199, what is the probability of 
detecting that change in the first sample taken after the change occurs? In the third sample?

30 30 ΣΣ-6,000 and ΣR = 150 %3D i=1 i=1
Transcribed Image Text:30 30 ΣΣ-6,000 and ΣR = 150 %3D i=1 i=1
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