A random sample is obtained from a population with variance s2 = 625, 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. Sample size n = 25
b. Sample size n = 16
c. Sample size n = 44
d. Sample size n = 32
