A sample of n = 44 observations has a sample mean of x- = 87.90. If an assumed known standard deviation of CT = 5.90 is used, calculate the p-values for the hypothesis testing problems
(a) H0: μ = 90.0 versus HA: μ ≠ 90.0
(b) H0: μ < 86.0 versus HA: n > 86.0