Answer to Question #324827 in Statistics and Probability for sssss

Question

1. Find the value of the finite population correction factor when:

 

a)   n = 10 and N = 10000

b)   n = 40 and N= 10,000

Answer 1

a) $FPC=\sqrt{\cfrac{N-n}{N-1}}=\sqrt{\cfrac{10000-10}{10000-1}}=\sqrt{\cfrac{9990}{9999}}=0.99955.$

b) $FPC=\sqrt{\cfrac{N-n}{N-1}}=\sqrt{\cfrac{10000-40}{10000-1}}=\sqrt{\cfrac{9960}{9999}}=0.99805.$