A random sample of size 16 is drawn from a nor- mal distribution having σ = 6.0 for the purpose of test- ing H0: µ = 30 versus H1: µ = 30. The experimenter chooses to deine the critical region C to be the set of sample means lying in the interval (29.9, 30.1). What level of signiicance 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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