Solve the following problem:
Q: Calculate the test statistic and p-value for each sample.
a. H0: μ = 60 versus H1: μ = 60, α = .025, ¯x = 63, σ= 8, n = 16
b. H0: μ ≥ 60 versus H1: μ < 60, α = .05, ¯x = 58, σ= 5, n = 25
c. H0: μ ≤ 60 versus H1: μ > 60, α = .05, ¯x = 65, σ= 8, n = 36