When a population is finite, the formula that determines the standard error of the mean needs to be adjusted. If N is the size of the population and n is the size of the sample (where n ≥ 0.05N), the standard error of the mean is shown below. The finite population correction factor is given by the expression √(N-n)/(N-1). Determine the finite population correction factor for each of the following. (a) N = 1700 and n = 850 (c) N = 1700 and n = 125 (b) N = 1700 and n = 170 (d) N = 1700 and n = 85 (e) What happens to the finite population correction factor as the sample size n decreases but the population size N remains the same? (a) The finite population correction factor is (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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When a population is finite, the formula that determines the standard error
of the mean needs to be adjusted. If N is the size of the population and n
is the size of the sample (where n ≥ 0.05N), the standard error of the mean
is shown below. The finite population correction factor is given by the
expression (N-n)/(N-1). Determine the finite population correction
factor for each of the following.
(a) N = 1700 and n = 850
(c) N = 1700 and n = 125
(e) What happens to the finite population correction factor as the sample
size n decreases but the population size N remains the same?
(b) N = 1700 and n = 170
(d) N = 1700 and n = 85
(a) The finite population correction factor is
(Round to three decimal places as needed.)
Transcribed Image Text:When a population is finite, the formula that determines the standard error of the mean needs to be adjusted. If N is the size of the population and n is the size of the sample (where n ≥ 0.05N), the standard error of the mean is shown below. The finite population correction factor is given by the expression (N-n)/(N-1). Determine the finite population correction factor for each of the following. (a) N = 1700 and n = 850 (c) N = 1700 and n = 125 (e) What happens to the finite population correction factor as the sample size n decreases but the population size N remains the same? (b) N = 1700 and n = 170 (d) N = 1700 and n = 85 (a) The finite population correction factor is (Round to three decimal places as needed.)
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