A sample of 50 is selected from a known population of 250 elements. The population standard deviation is 15. What is the standard error of the sample means using the finite population correction factor?
A) 2.89
B) 1.90
C) 2.12
D) 13.44
E) Cannot be determined

Question

Quizplus · Accepted Answer

The standard error of the sample mean with finite population correction is calculated as: SE = (σ/√n) * √((N-n)/(N-1)), where σ = 15, n = 50, and N = 250. Plugging in these values gives SE = (15/√50) * √((250-50)/(250-1)) = 1.90.

A Sample of 50 Is Selected from a Known Population