The calibration of a scale is to be checked by weighing a 10-kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with σ = 0.200 kg. Let μ denote the true average weight reading on the scale. Suppose the scale is to be recalibrated (the rejection region) if either ?̅> 10.1032 or ?̅< 9.8968. 1.1 What is the probability of a type II error when ? = 9.89?  1.2 Interpret the probability of a type II error in terms of this example.  1.3 What is the probability of a type I error?

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