Let X 1 ,X 2 , . . .,X n denote a random sample from a distribution that is N(, 2 ), where

Let X₁,X₂, . . .,X_n denote a random sample from a distribution that is N(θ, σ²), where −∞ < θ < ∞ and σ² is a given positive number. Let Y = ‾X denote the mean of the random sample. Take the loss function to be L[θ, δ(y)] = |θ−δ(y)|. If θ is an observed value of the random variable Θ that is N(μ, τ²), where τ² > 0 and μ are known numbers, find the Bayes solution δ(y) for a point estimate θ.