We say that a point estimator is unbiased if which of the following is true? Its sampling distribution is normal. The standard deviation of its sampling distribution decreases as the sample size increases. Its value is always equal to the parameter it estimates. Its sampling distribution is centered exactly at the parameter it estimates.
Question
We say that a point estimator is unbiased if which of the following is true? Its sampling distribution is normal. The standard deviation of its sampling distribution decreases as the sample size increases. Its value is always equal to the parameter it estimates. Its sampling distribution is centered exactly at the parameter it estimates.
Solution
A point estimator is considered unbiased if its sampling distribution is centered exactly at the parameter it estimates. This means that on average, the estimator is equal to the parameter it is estimating. The other options mentioned do not necessarily indicate an unbiased estimator. For example, having a normal sampling distribution or a decreasing standard deviation as sample size increases are properties related to efficiency and consistency of an estimator, but not its bias. Similarly, an estimator's value being always equal to the parameter it estimates is an ideal condition that is rarely met in practice.
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