Answered: A survey found that women's heights…

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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A survey found that women's heights are normally distributed with mean

63.463.4

in. and standard deviation

2.32.3

in. The survey also found that men's heights are normally distributed with mean

68.368.3

in. and standard deviation

3.83.8

in. Most of the live characters employed at an amusement park have height requirements of a minimum of

5656

in. and a maximum of

6464

in. Complete parts (a) and (b) below.

a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park?

The percentage of men who meet the height requirement is

nothing%.

(Round to two decimal places as needed.)

Since most men

▼

do not meet

meet

the height requirement, it is likely that most of the characters are

▼

women.

men.

b. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements?

The new height requirements are a minimum of

nothing

in. and a maximum of

nothing

in.

(Round to one decimal place as needed.)

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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