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)
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0d93ea1-4247-45ef-b3fa-07b7c1a6a22c%2F6f552f35-c48f-48fa-a940-d75a44bf9e06%2Fnvm2c6_processed.jpeg&w=3840&q=75)
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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