Suppose a random sample of size 50 is selected from a population with σ = 10. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate).

Question

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 = 5000 (to 2 decimals).

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

Answer 1

10/ √(50) = 1.4142

b. The population size is N = 50,000 (to 2 decimals).
1.4142 √ [ (N-1)/(N-n)]
(1.4142)√ [49,999/ 49,950] ) =1.41

c. The population size is N = 5000 (to 2 decimals).
1.4142 √ ( 4999/4950) ) = 1.42
d. The population size is N = 500 (to 2 decimals).
1.4142 √ ( 499/450) = 1.49

Answer 2

only be is right! the other parts are wrong

Answer 3

part c is completely wrong

Answer 4

part b and c are right but d is completely wrong

Answer 5

part a &b are corrects the other are wrong

Answer 6

part a &d are corrects the other are wrong

Answer 7

All 1.41 except for part d