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The mean Weights of parts produced by a particular production line are being studied. Standards specify that the mean weight must be 16.0 g, and

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The mean Weights of parts produced by a particular production line are being studied. Standards specify that the mean weight must be 16.0 g, and from past experience it is known that the standard deviation of the weight for one single part is 0.1 g. The hypotheses are H 0 : ,u = 16 H1 : ,u at 16 A random sample of nine parts is to be used, and type I error probability is specied as 0: = 0.05. (a) What is the critical region corresponding to this type I error for this hypothesis testing? (5 points) (b) What is the type II error if the true mean contents are p = 16.1 g? (5 points)

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