Ho: με 10 H₂:μ< 10 sample size is 125 and the population standard deviation is assumed known with a = 5. Use a = 0.05. If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject Ho? ( your answer to four decimal places.) 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

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Consider the following hypothesis test.
Ho: μ ≥ 10
Ha: μ< 10
The sample size is 125 and the population standard deviation is assumed known with a = 5. Use a = 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
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.)
Transcribed Image Text:Consider the following hypothesis test. Ho: μ ≥ 10 Ha: μ< 10 The sample size is 125 and the population standard deviation is assumed known with a = 5. Use a = 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 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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