Answered: A certain machine produces components…

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 certain machine produces components having a mean length of 15 cm. As a result of measuring samples of these components, it is found that the standard deviation is 0.2 cm. A test is carried out on a sample to check whether the data on the lengths is normally distributed and found that this is so.

A.) The quality control office said that the lower 5% and the upper 5% of the components in each batch will be considered defective. What would be the length of the component that would be considered defective?

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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