The diameter of a cylinder follows a normal distribution with the mean of 10cm and the variance of 0.04 cm². (a) Construct a Shewhart chart to monitor the process mean of cylinder diameter with a sample size 4? (Use L=3) (b) If the mean of the process changes to 10.5 cm, what is the probability that you detect this mean shift at the immediate next sample (the first sample after the mean shift)? (c) Continue b), what is the probability of detecting this mean shift before plotting the 5th sample after the mean shift?
The diameter of a cylinder follows a normal distribution with the mean of 10cm and the variance of 0.04 cm². (a) Construct a Shewhart chart to monitor the process mean of cylinder diameter with a sample size 4? (Use L=3) (b) If the mean of the process changes to 10.5 cm, what is the probability that you detect this mean shift at the immediate next sample (the first sample after the mean shift)? (c) Continue b), what is the probability of detecting this mean shift before plotting the 5th sample after the mean shift?
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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![The diameter of a cylinder follows a normal distribution with the mean of 10cm and the
variance of 0.04 cm².
(a) Construct a Shewhart chart to monitor the process mean of cylinder diameter with a
sample size 4? (Use L=3)
(b) If the mean of the process changes to 10.5 cm, what is the probability that you detect
this mean shift at the immediate next sample (the first sample after the mean shift)?
(c) Continue b), what is the probability of detecting this mean shift before plotting the 5th
sample after the mean shift?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9e27b5d-0ab8-428e-954d-97d64fc14c61%2Fc5e1f863-39d5-4111-9c15-ee24ab6d4a6e%2Ffevukde_processed.png&w=3840&q=75)
Transcribed Image Text:The diameter of a cylinder follows a normal distribution with the mean of 10cm and the
variance of 0.04 cm².
(a) Construct a Shewhart chart to monitor the process mean of cylinder diameter with a
sample size 4? (Use L=3)
(b) If the mean of the process changes to 10.5 cm, what is the probability that you detect
this mean shift at the immediate next sample (the first sample after the mean shift)?
(c) Continue b), what is the probability of detecting this mean shift before plotting the 5th
sample after the mean shift?
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