A random sample of n = 25 is obtained from a population with variance sigma square, and the sample mean is computed to be x bar=70. Consider the null hypothesis H0: mu = 80 versus the alternative hypothesis H1: mu < 80. Compute the p-value for the following options:

a) The population variance is sigma square = 225.

b) The population variance is sigma square = 900.

c) The population variance is sigma square = 400.

d) The population variance is sigma square = 600.