You have an SRS of size n 9 from a Normal distribution with

You have an SRS of size n = 9 from a Normal distribution with = 0.8. You wish to test
    H₀: = 0
    H_a: > 0
You decide to reject H₀ if x¯ > 0.04 and to accept H₀ otherwise.

Find the probability (±0.1) of a Type I error. That is, find the probability that the test rejects H₀ when in fact = 0:___

Find the probability (±0.001) of a Type II error when = 0.28. This is the probability that the test fails to reject H₀ when in fact = 0.28. ____

Solution