Essentials Of Statistics For Business & Economics

9th Edition

ISBN: 9780357045435

Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran

Publisher: South-Western College Pub

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Textbook Question

Chapter 9.7, Problem 46E

Consider the following hypothesis test.

H 0 : μ ≥ 10 H a : μ < 10

The sample size is 120 and the population standard deviation is assumed known with σ = 5. Use α = .05.

a. If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject H₀?
b. What type of error would be made if the actual population mean is 9 and we conclude that H₀: μ ≥ 10 is true?
c. What is the probability of making a Type II error if the actual population mean is 8?

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 9.5, Problem 45E

Chapter 9.7, Problem 47E

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Chapter 9 Solutions

Essentials Of Statistics For Business & Economics

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Solution Summary: The author calculates the probability that the sample mean leads to the conclusion "do not reject H_0".

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