Suppose that we have a random sample X 1 , X 2 , , X n from a population that is N(, 2 ) We plan to use n i 1 (X i X) 2 c to estimate 2 Compute the bias in as an estimator of 2 as a function of the constant c

Question: Suppose that we have a random sample X 1 , X 2 , ., X n from a population that is N(, 2 ).

Suppose that we have a random sample X₁, X₂, …., X_nfrom a population that is N(μ, σ²). We plan to use Θ = Σⁿ_i=1 (X_i – X̅)² / c to estimate σ². Compute the bias in Θ as an estimator of σ² as a function of the constant c.

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