In Testing the Hypotheses $H _ { 0 } : \mu = 40$

Essay

In testing the hypotheses: $H _ { 0 } : \mu = 40$ $H _ { 1 } : \mu \neq 40,$ the following information was given: $\sigma = 5.5 , \quad n = 25 , \quad \bar { x } = 42 , \quad \alpha = 0.10$ , and the sampled population is normally distributed.
a. Calculate the value of the test statistic.
b. Set up the rejection region.
c. Determine the p-value.
d. Interpret the result.