A random sample is obtained from a population with a variance of a2 = 400, and the sample mean is computed to be xc = 70. Consider the null hypothesis H0 :m = 80 versus the alternative hypothesis H1...

A random sample is obtained from a population with a variance of a2 = 400, and the sample mean is computed to be xc = 70. Consider the null hypothesis H0 :m = 80 versus the alternative hypothesis H1 :m 6 80. Compute the p-value for the following options.

a. Sample size n = 25

b. Sample size n = 16