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(3) Invert the test derived in (2) to find a (1-α)-Cl for λ. Problem 5. Suppose Yi, n 2 2. ,h are i.i.d. draws fron N(μ, σ*) with (1) Explain briefly why where s2 is the sample variance (unbiased for ơ2). Now suppose that the prior distribution on the pair (u, log a) is flat (Lebesgue in 2 dimensions), a priori, we work with respect (2) Find the posterior mean of μ and σ2, given the sufficient statistic (Y, s2). (3) Show that the posterior distribution of u is Y +st-i/Vn.


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