Estimator of the population total
Suppose probability samples of size n=2 are selected from {1, 2, 3, 4} with probabilities d1=.4, d2=.4, d3=.1, and d4=.1. Demonstrate that tau_hat is still an unbiased estimator of the population total, but its variance is 81.25.
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During its first year of operations, Henley Company had credit sales of $3,303,126; $601,306 remained uncollected at year-end. The credit manager estimates that $38,860 of these receivables will become uncollectible.
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