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Discrete Random Variables – Mean

Question 3 • NC-Math 4

Is the sample minimum an unbiased estimator of the population minimum?

Answer
A
no
B
yes

Explanation

The sample minimum can never be less than the population minimum, and for a sample that does not include the population’s smallest value, it will be larger. Thus, across repeated samples, the sample minimum tends to overestimate the population minimum rather than average exactly to it. The correct choice is A, no.

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