Let X, ,X16 be a random sample from a N(, 4) distribution and let the prior distribution of be N(0, 0 25) (i) Find the Bayes estimator of assuming squared error loss (ii) Obtain a 95 credible interval for

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Question: Let X, ...,X16 be a random sample from a N(, 4) distribution and let the prior distribution of be N(0, 0.25). (i) Find the

Let X, ...,X16 be a random sample from a N(θ, 4) distribution and let the prior distribution of θ be N(0, 0.25). (i) Find the Bayes estimator of θ assuming squared error loss. (ii) Obtain a 95% credible interval for θ.

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