Answered: Control charts for X̅and R are…

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

Control charts for X̅and R are maintained on the outside diameter of a shaft.
The subgroup size is 04. After 20 subgroups ∑ X̅
= 43.75 and ∑R = 0.286. The specification
of the product is 2.15±0.02 unit. Products falling above and below the specification limit
are rejected. The process is statistical controlled and normally distributed. Find the control
limits for X̅and R charts, Process capability, RPI of the process and % rejection. How to
reduce the % of rejection if any?

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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