Answered: The overhead reach distances of adult…

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

The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.6 cm.

a. Find the probability that an individual distance is greater than

212.50 cm.

b. Find the probability that the mean for

25 randomly selected distances is greater than 198.20 cm.

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

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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