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2. We said in class that the sample mean, is a good estimator of the mean,...

2. We said in class that the sample mean, is a good estimator of the mean, μ. What two desirable properties did we say the sample mean has that makes it a good estimator? Explain.

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Answer #1

1) it is unbiased estimator

E() =

2) It is consistent estimator

Loosely speaking, an estimator Tn of parameter θ is said to be consistent, if it converges in probability to the true value of the parameter:

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