Question:

a) Given the following hypotheses, determine the p-value when \(\bar{X}\) = 21, n = 25, and σ = 5.

H_o : µ = 20

H₁ : µ ≠ 20

b) repeat part (a) with \(\bar{X}\) = 22.
c) repeat part (a) with \(\bar{X}\) = 23.
d) describe what happens to the value of the test statistic and its p-value when the value of \(\bar{X}\) increases.