Answered: 1. A survey of 1000 women ages 20 to 30…

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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Z-SCORE APPLICATION

1. A survey of 1000 women ages 20 to 30 found that their heights were normally distributed, with a mean of 65 in. and a standard deviation of 2.5 in.

a. How many percent of the women have a height that is below 58 in?

b. How many of the women have a height that is below 58 in?

c. How many percent of the women have a height that is between 65 in and 70 in?

d. How many of the women have a height that is between 60 in and 70 in?

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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