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MATLAB: An Introduction with Applications
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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1. A process has demonstrated that, when held in control, it can maintain a o of 0.15 cm. A certain part has specifications of 15.00 + 0.50 cm. (a) Using a target mean of 15.00 cm, find control limits for X-bar and R charts based on a subgroup size of 4 units. In answering the following questions, assume that the actual mean setting H is 14.97 cm. (b) What proportion of units would you expect to not meet specifications, assuming that the process generates an approximately normal distribution of measurements (c) What is the probability that any value of X will fall within the control limits (the probability of Type II error)? (d) Test the natural process spread (6ơ) against the specification range. Is this process capable?
Transcribed Image Text:1. A process has demonstrated that, when held in control, it can maintain a o of 0.15 cm. A certain part has specifications of 15.00 + 0.50 cm. (a) Using a target mean of 15.00 cm, find control limits for X-bar and R charts based on a subgroup size of 4 units. In answering the following questions, assume that the actual mean setting H is 14.97 cm. (b) What proportion of units would you expect to not meet specifications, assuming that the process generates an approximately normal distribution of measurements (c) What is the probability that any value of X will fall within the control limits (the probability of Type II error)? (d) Test the natural process spread (6ơ) against the specification range. Is this process capable?
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