Answered: Use this information about the overhead…

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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Use this information about the overhead reach distances of adult females: µ = 205.5 cm,

σ = 8.6 cm, and overhead reach distances are normally distributed (based on data from the

Federal Aviation Administration). The overhead reach distances are used in planning

assembly work stations.

If 49 adult females are randomly selected, find the probability that they have a mean overhead reach less than 207.0 cm.

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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