Answered: A manufacturing company produces steel…

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

A manufacturing company produces steel rods. The length of these rods is critical to their customers. The company aims to manufacture rods with a mean length of 150 cm. However, due to variability in the manufacturing process, the lengths of the rods follow a normal distribution. The company's quality control department samples 30 rods and finds that they have a mean length of 151 cm and a standard deviation of 2 cm.

Calculate the Process Capability Index (Cp) and the Process Performance Index (Ppk) for this process. Assume the customer's specification limits are 147 cm and 153 cm for the length of the rods.

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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