Answered: a. Most of the live characters at an…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

A survey found that women's heights are normally distributed with mean 63.1 in. and standard deviation 2.4 in. The survey also found that men's heights are normally distributed with a mean 67.5 in. and standard deviation 2.5. Complete parts a through c below.
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Part 1
a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 9 in. and a maximum of 6 ft 2 in. Find the percentage of women meeting the height requirement.
The percentage of women who meet the height requirement is enter your response here%.
(Round to two decimal places as needed.)
Part 2
b. Find the percentage of men meeting the height requirement.
The percentage of men who meet the height requirement is enter your response here%.
(Round to two decimal places as needed.)
Part 3
c. If the height requirements are changed to exclude only the tallest 5% of men and the shortest 5% of women, what are the new height requirements?
The new height requirements are at least enter your response here in. and at most enter your response here 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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