7th Edition

ISBN: 9780135901021

Author: Larson

Publisher: PEARSON EDUCATION (COLLEGE)

Concept explainers

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

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Textbook Question

Chapter 5.3, Problem 33E

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

33. Energy Consumption The per capita energy consumption level (in kilowatt-hours) in Venezuela for a recent year can be approximated by a normal distribution, as shown in the figure. (Source: Latin American Journal of Economics)

(a) What consumption level represents the 5th percentile?
(b) What consumption level represents the 17th percentile?
(c) What consumption level represents the third quartile?

Chapter 5.3, Problem 33E, Finding Specified Data Values In Exercises 3138, answer the questions about the specified normal

FIGURE FOR EXERCISE 33

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 32E

Chapter 5.3, Problem 34E

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Chapter 5 Solutions

MYLAB STATISTICS: ELEMENTARY STATISTICS

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Solution Summary: The author calculates the per capita energy consumptions level in Venezuela for a recent year. The 5th percentile is 1,315.99 kilowatt-hours.

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