Question: A test is made of H0 : = 125 versus H1: < 125. The sample mean is x = 123, the sample size

A test is made of H0 : μ = 125 versus H1: μ < 125.

The sample mean is x̄ = 123, the sample size is n = 100, and the population standard deviation is σ = 20.

a. Find the value of the test statistic z.

b. Find the critical region for a level α = 0.02 test.

c. Do you reject H0 at the α = 0.02 level?

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