Answered: A particular manufacturing design…

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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A particular manufacturing design requires a shaft with a diameter of 23.000 mm, but shafts with diameters between 22.987 mm and 23.013 mm are acceptable. The manufacturing process yields shafts with diameters normally distributed, with a mean of 23.002 mm and a standard deviation of 0.005 mm.

For this process, what is the diameter that will be exceeded by only 1% of the shafts?

The diameter that will be exceeded by only 1% of the shafts is ___ mm

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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