Suppose a random sample of size 46 is selected from a population with = 8. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate).

a- The population size is infinite (to 2 decimals).

b- The population size is N = 50,000 (to 2 decimals).

c- The population size is N = 5,000 (to 2 decimals).

d- The population size is N = 500 (to 2 decimals).