[Solution] Type II Error
A manufacturer claims that a motor will not draw more than 1.5 amperes under normal conditions. A factory engineer suspects the claim is low and plans a test on 36 such motors. Suppose the standard deviation among motors is 0.9 amperes. If the “true” mean is 1.8 amperes, what is the probability of a Type II error ( beta risk ) and the power of the test associated with each of the following levels of significance: 10%, 5%, and 1%?
A manufacturer claims that a motor will not draw more than 1.5 amperes under normal conditions. A factory engineer suspects the claim is low and plans a test on 36 such motors. Suppose the standard deviation among motors is 0.9 amperes. If the “true” mean is 1.8 amperes, what is the probability of a Type II error ( beta risk ) and the power of the test associated with each of the following levels of significance: 10%, 5%, and 1%?
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