You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. Ho: μ ≥ 10 Hg: μ < 10 The sample size is 135 and the population standard deviation is assumed known with = 5. Use α = 0.05. (a) If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject Ho? (Round your answer to four decimal places.) (b) What type of error would be made if the actual population mean is 9 and we conclude that Ho: μ ≥ 10 is true? Type I o Type II (c) What is the probability of making a type II error if the actual population mean is 8? (Round your answer to four decimal places. If it is not possible to commit a type II error enter NOT POSSIBLE.)
You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. Ho: μ ≥ 10 Hg: μ < 10 The sample size is 135 and the population standard deviation is assumed known with = 5. Use α = 0.05. (a) If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject Ho? (Round your answer to four decimal places.) (b) What type of error would be made if the actual population mean is 9 and we conclude that Ho: μ ≥ 10 is true? Type I o Type II (c) What is the probability of making a type II error if the actual population mean is 8? (Round your answer to four decimal places. If it is not possible to commit a type II error enter NOT POSSIBLE.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 18
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question.
Consider the following hypothesis test.
Hg: μ ≥ 10
Ha: μ< 10
The sample size is 135 and the population standard deviation is assumed known with o = 5. Use α = 0.05.
(a) If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject Ho? (Round your answer to four decimal places.)
(b) What type of error would be made if the actual population mean is 9 and we conclude that Ho: μ ≥ 10 is true?
o Type I
○ Type II
(c) What is the probability of making a type II error if the actual population mean is 8? (Round your answer to four decimal places. If it is not possible to commit a type
II error enter NOT POSSIBLE.)
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