Answered: The heights of adult men in America are…

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 heights of adult men in America are normally distributed with a mean of 69.1 inches and a standard deviation of 2.68 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.7 inches and a standard deviation of 2.52 inches.

(a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?

z =

(b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?

z =

(c) Who is relatively taller?

The 5 foot 11 inch American woman
The 6 foot 3 inch American man

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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