A100-36W omework: Section 6.1 Homework ore: 02 of 1 pt Hilar 13 of 14 (13 com et

Question

A100-36W omework: Section 6.1 Homework ore: 02 of 1 pt Hilar 13 of 14 (13 com ete) HW S 6.1.57 Determine the finite population correction factor for each of the following (a) N 1000 and n 500 (c) N 1000 and n 75 (e) What happens to the finite population correction factor as the sample size n decrea s but the population size N amains the same (b) N 1000 and n 100 (d) N 1000 and n 50 (a) The finite population correction factor is (Round to three decimal places as needed) Enter your answer in the answer box and then click Check Answer Clear All up

Explanation / Answer

Answer : We know that the formula for finite population correction factor is given by

FPC=sqrt [ (N - n) / (N - 1) ]

(a) For N=1000 and n=500

FPC=sqrt[(1000-500)/(1000-1)]=0.70

(e) As n decreases FPC increses.

(b) For N=1000 and n=100

FPC=sqrt[(1000-100)/(1000-1)]=0.94

(c) For N=1000 and n=75

FPC=sqrt[(1000-75)/(1000-1)]=0.96

(d) For N=1000 and n=50

FPC=sqrt[(1000-50)/(1000-1)]=0.97

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