Consider an artificial population U = {1, 2, 3, 4, 5}, with the x and y information given in ne table i 1 2 3 4 5

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1. Consider an artificial population U
the table
{1, 2, 3, 4, 5}, with the x and y information given in
2
3 4 5
x
9 14 16
y 7 6 12 11 13
12
57
An SRS of size n = 2 is used for sample selection to estimate the population mean of the Y
variable.
(ii) For each sample, evaluate the two estimators: sample mean and ratio estimator. and sum-
marize your results in a table.
(iii) Compute the bias and variance for each estimator. Summarize your results in another
table.
Transcribed Image Text:= 1. Consider an artificial population U the table {1, 2, 3, 4, 5}, with the x and y information given in 2 3 4 5 x 9 14 16 y 7 6 12 11 13 12 57 An SRS of size n = 2 is used for sample selection to estimate the population mean of the Y variable. (ii) For each sample, evaluate the two estimators: sample mean and ratio estimator. and sum- marize your results in a table. (iii) Compute the bias and variance for each estimator. Summarize your results in another table.
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