Question: (a) Construct Gibbs sampler that will sample 1; 1; 2, and 2 from their posteriors. (b) Find sample differences 1 - 2 . Proportion of

(a) Construct Gibbs sampler that will sample 1; 1; 2, and 2 from their posteriors.

(b) Find sample differences 1 - 2 . Proportion of positive differences approximates

posterior probability of hypothesis H0 : 1 > 2. What is this proportion?

(c) Using sample quantiles find the 95% equitailed credible set for 1 - 2. Does this set

contain 0?

(a) Construct Gibbs sampler that will sample 1; 1; 2, and 2

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