Math

StatisticsSTATISTICS F/BUSINESS+ECONOMICS-TEXTconsider 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 H 0 ? b. What type of error would be made if the actual population mean is 9 and we conclude that H 0 : μ ≥ 10 is true? c. What is the probability of making a Type II error if the actual population mean is 8?BuyFind*launch*

13th Edition

Anderson

Publisher: CENGAGE L

ISBN: 9781305881884

Chapter 9.6, Problem 46E

Textbook Problem

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 H*_{0}*?* - b. What type of error would be made if the actual population mean is 9 and we conclude that
*H*≥ 10 is true?_{0}: μ - c. What is the probability of making a Type II error if the actual population mean is 8?

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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