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What is the probability of making a type ii error if the

Consider the following hypothesis test:

H0: ≥ 10

Ha: < 10

The sample size is 140 and the population standard deviation is assumed known with σ= 6. Use α = .05.

a. If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject H0 (to 4 decimals)?

b. What is the probability of making a type II error if the actual population mean is 8? (to 4 decimals)

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