From a population formed by N clusters a sample of size n is selected with a procedure by which the first unit is chosen for the sample with unequal probabilities Pi, and the remaining n-1 clusters of the sample are chosen with equal probabilities, all the extractions being carried out without replacement. An unbiased estimate of the population total X and its absolute and relative sampling errors is requested being N = 50, n = 4, Xi the total of the i-th cluster and knowing the following data of the clusters of the sample: P X₁ 0,026 0,017 0,022 0,013 100 80 120 60

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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From a population formed by N clusters a sample of size n is selected with a
procedure by which the first unit is chosen for the sample with unequal
probabilities Pi, and the remaining n-1 clusters of the sample are chosen with
equal probabilities, all the extractions being carried out without replacement.
An unbiased estimate of the population total X and its absolute and relative
sampling errors is requested being N = 50, n = 4, Xi the total of the i-th cluster
and knowing the following data of the clusters of the sample:
P
X₁
0,026 0,017 0,022 0,013
100
80
120
60
Transcribed Image Text:From a population formed by N clusters a sample of size n is selected with a procedure by which the first unit is chosen for the sample with unequal probabilities Pi, and the remaining n-1 clusters of the sample are chosen with equal probabilities, all the extractions being carried out without replacement. An unbiased estimate of the population total X and its absolute and relative sampling errors is requested being N = 50, n = 4, Xi the total of the i-th cluster and knowing the following data of the clusters of the sample: P X₁ 0,026 0,017 0,022 0,013 100 80 120 60
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