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and in correlation form all four variables have variance unity and all pairwise correlation coefficients are 0.7. The in-control value of the process mean vector is ť = [0, 0, 0, 0]. a) Write out the covariance matrix E. b) What is the chi-square control limit for the chart, assuming that a = 0.01? c) Suppose that a sample of observations results in the standardized observation vector y' = [3.5, 3.5, 3.5, 3.5]. Calculate the value of the T statistic. Is an out-of-control signal generated? %3D

and in correlation form all four variables have variance unity and all pairwise correlation coefficients are 0.7. The in-control value of the process mean vector is ť = [0, 0, 0, 0]. a) Write out the covariance matrix E. b) What is the chi-square control limit for the chart, assuming that a = 0.01? c) Suppose that a sample of observations results in the standardized observation vector y' = [3.5, 3.5, 3.5, 3.5]. Calculate the value of the T statistic. Is an out-of-control signal generated? %3D

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose that we have p = 4 quality characteristics, and in correlation form all four variables have variance unity and all pairwise correlation coefficients are 0.7. The in-control value of the process mean vector is µ = [0, 0, 0, 0]. (a) Write out the covariance matrix E. (b) What is the chi-square control limit for the chart, assuming that a = (c) Suppose that a sample of observations results in the standardized observation vector y' [3.5, 3.5, 3.5, 3.5]. Calculate the value of the T statistic. Is an out-of-control signal generated? %3D = 0.01?
Transcribed Image Text:Suppose that we have p = 4 quality characteristics, and in correlation form all four variables have variance unity and all pairwise correlation coefficients are 0.7. The in-control value of the process mean vector is µ = [0, 0, 0, 0]. (a) Write out the covariance matrix E. (b) What is the chi-square control limit for the chart, assuming that a = (c) Suppose that a sample of observations results in the standardized observation vector y' [3.5, 3.5, 3.5, 3.5]. Calculate the value of the T statistic. Is an out-of-control signal generated? %3D = 0.01?
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