Answered: Assuming that the heights of college…

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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Assuming that the heights of college women are normally distributed with mean 65 inches and standard deviation 2.5 inches (based on information from Statistical Abstract of the United States, 112th Edition). Use the empirical rule to answer the following questions.

a) What percentage of women are between 62.5 inches and 67.5 inches tall?

b) Give the two cutoff scores of heights for women to be in the middle 95 %.

c) What percentile corresponds to a women who is 60 inches tall?

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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