In Testing the Hypotheses:
H0: μ = 40
HA: μ $\bar { X }$

Essay

In testing the hypotheses:
H0: μ = 40
HA: μ  40
the following information was given:  = 5.5, n = 25, $\bar { X }$ = 42, α = 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.