Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)

6th Edition

ISBN: 9780321914620

Author: Jeffrey O. Bennett, William L. Briggs

Publisher: PEARSON

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Textbook Question

Chapter 6.C, Problem 53E

Heights of American Men. The heights of American adult men are normally distributed with a mean of 69.7 inches and a standard deviation of 2.7 inches. Use a calculator or Excel to answer the following questions.

a. What are the standard score and percentile of a height of 72 inches?

b. What are the standard score and percentile of a height of 65 inches?

c. What percentage of the American adult male population is taller than 6'4'?

d. What percentage of the American adult male population is shorter than 5'4"?

e. Assume that the American population consists of 115 million adult men. Approximately how many men are at least as tall as the basketball player Kobe Bryant, who is 6'7" 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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Chapter 6.C, Problem 51E

Chapter 6.D, Problem 1QQ

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Chapter 6 Solutions

Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)

Ch. 6.A - Prob. 1QQ Ch. 6.A - On a math exam, one student scores 79 while 25...Ch. 6.A - One hundred students take a chemistry exam. All...Ch. 6.A - Twenty students take a political science exam....Ch. 6.A - A survey asks students to state many sodas they...Ch. 6.A - Among professional actors, a small number of...Ch. 6.A - The distribution of wages at a company is...Ch. 6.A - Compared to a distribution with a broad central...Ch. 6.A - Prob. 9QQ Ch. 6.A - The mayor of a town is considering a run for...

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