7th Edition

ISBN: 9780135901021

Author: Larson

Publisher: PEARSON EDUCATION (COLLEGE)

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Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could co…

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a…

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Textbook Question

Chapter 5.3, Problem 31E

Finding Specified Data Values In Exercises 31–38, answer the questions about the specified normal distribution.

31. Heights of Women In a survey of women in the United States (ages 20–29), the mean height was 64.2 inches with a standard deviation of 2.9 inches. (Adapted from National Center for Health Statistics)

(a) What height represents the 95th percentile?
(b) What height represents the 43rd percentile?
(c) What height represents the first quartile?

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 5.3, Problem 30E

Chapter 5.3, Problem 32E

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Chapter 5 Solutions

MYLAB STATISTICS: ELEMENTARY STATISTICS

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Solution Summary: The author explains that the 95th percentile is 68.97 inches, and the 43rd percentille, 63.71 inches.

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