Answered: A metal company is supplying its…

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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Question

A metal company is supplying its product to a manufacturer of washing appliances that has specified that the outside diameter be 0.255 + 0.028 inch. Fifty samples of n = 5 units show that the process is in good statistical control, the diameters are normally distributed, and that μx and σx for the process are 0.260 and 0.02 inch, respectively.
a) What percent of the product made by this process is within the specifications? Answer in 2 decimal places
b) If the process variability was reduced by about half (i.e., σx changed to 0.01 inch), what percent of the product made by this process is within the specifications? Answer in 2 decimal places.

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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