Why is x̄ called an unbiased estimator of μ?
- A
Because s = σ.
- Bcheck_circle
Because the mean of its sampling distribution equals μ.
- C
Because every sample gives x̄ = μ.
- D
Because the median equals μ.
Explanation
Unbiased means E(x̄) = μ_x̄ = μ.
AP Statistics· difficulty 2/5
Why is x̄ called an unbiased estimator of μ?
Because s = σ.
Because the mean of its sampling distribution equals μ.
Because every sample gives x̄ = μ.
Because the median equals μ.
Explanation
Unbiased means E(x̄) = μ_x̄ = μ.
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