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. (b) N = 1400 and n=140 (d) N = 1400 and n=70 (a) N = 1400 and n = 1050 (c) N = 1400 and n=75 (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.) (b) The finite population correction factor is (Round to three decimal places as needed.) (c) The finite population correction factor is (Round to three decimal places as needed.) (d) The finite population correction factor is (Round to three decimal places as needed.) (e) What happens to the finite population correction factor as the sample size n decreases but the population size N remains the same?

MATLAB: An Introduction with Applications
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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 = 1400 and n = 1050
(b) N = 1400 and n = 140
(d) N = 1400 and n = 70
(c) N = 1400 and n = 75
(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.)
(b) The finite population correction factor is
(Round to three decimal places as needed.)
(c) The finite population correction factor is
(Round to three decimal places as needed.)
(d) The finite population correction factor is
(Round to three decimal places as needed.)
(e) What happens to the finite population correction factor as the sample size n decreases but the population size N remains the same?
O A. The finite population correction factor approaches 0.
B. The finite population correction factor does not approach any set value.
C. The finite population correction factor approaches 1.
D.
The finite population correction factor approaches ≈ 0.707.
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 = 1400 and n = 1050 (b) N = 1400 and n = 140 (d) N = 1400 and n = 70 (c) N = 1400 and n = 75 (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.) (b) The finite population correction factor is (Round to three decimal places as needed.) (c) The finite population correction factor is (Round to three decimal places as needed.) (d) The finite population correction factor is (Round to three decimal places as needed.) (e) What happens to the finite population correction factor as the sample size n decreases but the population size N remains the same? O A. The finite population correction factor approaches 0. B. The finite population correction factor does not approach any set value. C. The finite population correction factor approaches 1. D. The finite population correction factor approaches ≈ 0.707.
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