In Testing the Hypotheses:
H0: μ = 40
HA: μ $\neq$

In testing the hypotheses:
H0: μ = 40
HA: μ $\neq$ 40
the following information was given: $\sigma$ = 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.