Question

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

Consider the following hypothesis test.

*H*_{0}: *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*
*H*_{0}? (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 *H*_{0}:
*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

Consider the following hypothesis test.
H0: μ ≥ 10
Ha: μ < 10
The sample size is 125 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...

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