Question

You may need to use the appropriate appendix table or technology to answer this question.

Consider the following hypothesis test.

H₀: μ ≥ 10

H_a: μ < 10

The sample size is 130 and the population standard deviation is assumed known with σ = 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 H₀? (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 H₀: μ ≥ 10 is true?

a) Type I

b) 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.)

Answer 1