Corresponding to each of the rejection regions

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A random sample of size = 100 from a normal population with unknown mean  and variance  is  to be used  to test  the null hypothesis, H0  : μ = 12, versus the alternative,  H0  : μ /= 12.  The  observed  sample  standard  deviation  is  s = 0.5.

(i) Determine the rejection region for α = 0.10.05 and α = 0.01.

(ii) If the true population mean has shifted to μ = 11.9, determine the value of β corresponding to each of the rejection regions obtained in (i) and hence the power of each test. Comment on the effect that lowering α has on the corresponding values of β and power.

Reference no: EM131001446

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