A sample statistic such that the mean of all its possible values differs from the population parameter that the statistic seeks to estimate is a biased estimator.

Question

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A biased estimator is one that systematically overestimates or underestimates the population parameter that it seeks to estimate. This can occur when the mean of all possible values of a statistic is not equal to the true population parameter, indicating that the statistic is not an unbiased estimator.

A Sample Statistic Such That the Mean of All Its