A sample of n = 13 observations has a sample mean of -x = 2.879. If an assumed known standard deviation of σ = 0.325 is used, calculate the p-values for the hypothesis testing problems
(a) H0: n = 3.0 versus HA: μ ≠ 3.0
(b) H0: μ > 3.1 versus HA: μ < 3.1