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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.4: Logarithmic Functions

Problem 33E

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Question

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?

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

Expert Solution