In Testing the Hypotheses $H _ { 0 } : \mu = 60$

Essay

In testing the hypotheses $H _ { 0 } : \mu = 60$ . $H _ { 1 } : \mu < 60$ .
the following information was given: $\sigma = 5 , \quad n = 100 , \quad \bar { x } = 59 , \quad \alpha = 0.05$ .
a. Calculate the value of the test statistic.
b. Set up the rejection region.
c. Determine the p-value.
d. Interpret the result.