Answered: Suppose that a quality characteristic…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question

Suppose that a quality characteristic is normally distributed with
specifications at 100 ± 20. The process standard deviation is 6.
(a) Suppose that the process mean is 100. What are the natural tolerance limits? Calculate C_p and C_pk and interpret these ratios. What fraction of parts do you expect to be defective?
(b) Suppose that the process mean is 106. What are the natural tolerance limits? What is the
fraction defective? Calculate C_p and C_pk and interpret these ratios.

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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