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Math Statistics Essentials Of Statistics For Business & Economics

Consider the following hypothesis test. H 0 : μ ≥ 10 H a : μ < 10 The sample size is 120 and the population standard deviation is 5. Use α = .05. If the actual population mean is 9, the probability of a Type II error is .2912. Suppose the researcher wants to reduce the probability of a Type II error to .10 when the actual population mean is 9. What sample size is recommended?

Consider the following hypothesis test. H 0 : μ ≥ 10 H a : μ < 10 The sample size is 120 and the population standard deviation is 5. Use α = .05. If the actual population mean is 9, the probability of a Type II error is .2912. Suppose the researcher wants to reduce the probability of a Type II error to .10 when the actual population mean is 9. What sample size is recommended?

Solution Summary: The null and alternative hypotheses are given below. The sample size is 214.

Essentials Of Statistics For Business & Economics

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 9.8, Problem 54E

Consider the following hypothesis test.

H 0 : μ ≥ 10 H a : μ < 10

The sample size is 120 and the population standard deviation is 5. Use α = .05. If the actual population mean is 9, the probability of a Type II error is .2912. Suppose the researcher wants to reduce the probability of a Type II error to .10 when the actual population mean is 9. What sample size is recommended?

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 9.7, Problem 53E

Chapter 9.8, Problem 55E

Chapter 9 Solutions

Essentials Of Statistics For Business & Economics

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