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Consider the following hypothesis test. H0:  ≥ 10 H1:  <10 The sample size is...

Consider the following hypothesis test. H0:  ≥ 10 H1:  <10 The sample size is 120 and the standard deviation of the population is 5. Use a  = 0.05.

a. If the real value of the population mean is 9, what is the probability that the mean of the sample will lead us not to reject H0?

b. What type of error would be committed if the real value of the population mean was 9 and we conclude that H0: μ ≥ 10?

c. What is the probability of making the Type II error if the real value of the population is 8?

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