Elementary Statistics: Picturing the World Books a la carte Plus MyLab Statistics with Pearson eText -- Access Card Package (7th Edition)

7th Edition

ISBN: 9780134685205

Author: Ron Larson, Betsy Farber

Publisher: PEARSON

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Chapter 5.4, Problem 23E

Interpreting the Central Limit Theorem In Exercises 19–26, find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distribution.

23. Water Footprint A water footprint is a measure of the appropriation of fresh water. The per capita water footprint in the United States for a recent year is approximately normally distributed, with a mean of 1.64 mega gallons and a standard deviation of 2.89 mega gallons. Random samples of size 12 are drawn from this population, and the mean of each sample is determined. (Source: Water Resources Research)

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 5.4, Problem 22E

Chapter 5.4, Problem 24E

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Chapter 5 Solutions

Elementary Statistics: Picturing the World Books a la carte Plus MyLab Statistics with Pearson eText -- Access Card Package (7th Edition)

Ch. 5.1 - 1. Which normal curve has the greatest mean? 2....Ch. 5.1 - The scaled test scores for the New York State...Ch. 5.1 - A U.S. adult who is at least 20 years old is...Ch. 5.1 - Find the area under the standard normal curve to...Ch. 5.1 - Find the area under the standard normal curve to...Ch. 5.1 - Find the area under the standard normal curve...Ch. 5.1 - Find three real-life examples of a continuous...Ch. 5.1 - In a normal distribution, which is greater, the...Ch. 5.1 - What is the total area under the normal curve?Ch. 5.1 - What do the inflection points on a normal...

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Solution Summary: The author calculates the mean and standard deviation of the indicated sampling distribution of sample means by using central limit theorem.

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