11. Consider a test of H0 : 100 versus H1 : > 100. Suppose...

11. Consider a test of H0 : μ ≤ 100 versus H1 : μ > 100. Suppose that a sample of size 20 has a sample mean of X = 105. Determine the p-value of this outcome if the population standard deviation is known to equal

(a) 5;

(b) 10;

(c) 15.