9. Suppose that X1,...,Xn iid Normal(, 2), with 0 < 2 < , and define

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9. Suppose that X1,...,Xn iid

∼ Normal(μ, σ2), with 0 < σ2 < ∞, and define

μˆ = 1 n

n i=1 Xi. What is Bias(ˆμ)? What is MSE(ˆμ)? What if the distribution of the Xi is not Normal, but Student’s t distribution with the same mean μ and variance σ2, and tail index (ν, df) of 5?

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