Perform the following hypothesis tests of the population mean. In each case, draw a picture to illustrate the rejection regions on both the Z and X distributions, and calculate the p-value of the test.
H0: μ = 50, H1: μ > 50, n = 100, x = 55, σ = 10, α = 0.05
H0: μ = 25, H1: μ < 25, n = 100, x = 24, σ = 5, α=0.1