Question: A random sample of size 16 is drawn from a normal distribution having =6.0 for the purpose of testing H0: = 30 versus

A random sample of size 16 is drawn from a normal having σ =6.0 for the purpose of testing H0: μ = 30 versus H1: μ = 30. The experimenter chooses to define the critical region C to be the set of sample means lying in the interval (29.9, 30.1). What level of significance does the test have? Why is (29.9, 30.1) a poor choice for the critical region? What range of y values should comprise C, assuming the same α is to be used?

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