Answer to Question #302097 in Statistics and Probability for John

Question

Find the finite population correction factor given the following: 1. N=200, n=20 2. N=250, n=10 3. N=2000, n=15 4. N=2500, n=20 5. N=200, n=20

Answer 1

Finite population correction factor 

$$FPC=\sqrt{\dfrac{N-n}{N-1}}$$

1.

$$FPC=\sqrt{\dfrac{200-20}{200-1}}=0.951064$$

2.

$$FPC=\sqrt{\dfrac{250-10}{250-1}}=0.981761$$

3.

$$FPC=\sqrt{\dfrac{2000-15}{2000-1}}=0.996492$$

4.

$$FPC=\sqrt{\dfrac{2500-20}{2500-1}}=0.996191$$

5.

$$FPC=\sqrt{\dfrac{200-10}{200-1}}=0.977125$$