A machine stamps out a certain type of automobile part. When working properly the part has an
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A machine stamps out a certain type of automobile part. When working properly the part has an average weight of μ = 1.6 pounds and standard deviation σ = 0.22 pounds. To test the proper working of the machine, quality control staff take forty of the parts and weigh them. They will reject the hypothesis that the machine is working properly (in other words they want to test H0: μ = 1.6 versus H1: μ > 1.6) if the average weight is y̅ ≥ 1.67.
(a) What is α, the level of significance of this test?
(b) What is β, the probability of Type II error of this test when μ = 1.68?
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