Answered: The diameter of a cylinder follows a…

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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Question

The diameter of a cylinder follows a normal distribution with mean of 10cm and the variance
of 0.04 cm2.
a) Construct a Shewhart chart (X-Bar chart) to monitor the process mean of cylinder diameter
with a sample size of 9? (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 next sample (The first sample after the mean shift)?
c) If the process mean stay at 10.5 cm, what is the average number of samples will you see an
out-of-control point in the control chart?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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