Finite Population Correction Factor If a simple random sample of size n is selected without replacement from a finite population of size N, and the sample size is more than 5% of the population size 1n 7 0.05N2, better results can be obtained by using the finite population correction factor, which involves multiplying the margin of error E by 11N - n2>1N - 12.

For a sample of 40 platelet counts of females from Data Set 1 “Body Data” in Appendix B, we get x = 255.1 and s = 65.4. All platelet counts are in 1000 cells>mL.

a. Construct a 95% confidence interval estimate of m assuming that the population is large.

b. Construct a 95% confidence interval estimate of m assuming that the sample is selected without replacement from a population of 500 females.

c. Compare the results.