A random sample of n = 25 is obtained from a population with variance a2 , and the sample mean is computed. Test the null hypothesis H0 :m = 100 versus the alternative hypothesis H1 :m 7 100 with a =...

A random sample of n = 25 is obtained from a population with variance a2 , and the sample mean is computed. Test the null hypothesis H0 :m = 100 versus the alternative hypothesis H1 :m 7 100 with a = 0.05. Compute the critical value xc and state your decision rule for the following options.

a. The population variance is s2 = 225.

b. The population variance is s2 = 900.

c. The population variance is s2 = 400.

d. The population variance is s2 = 600.