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(3 points) Well use a hierarchical model to help us understand state-level averages in the funding gap: each state will have a state-level mean mu

(3 points) Well use a hierarchical model to help us understand state-level averages\ in the funding gap: each state will have a state-level mean \\\\mu i with common mean\ \\\\alpha , and for each district j in state i, the funding gap yij will be normally distributed\ with mean \\\\mu i. Well assume the variances are known, so the model can be written\ as:\ \\\\mu i Normal(\\\\alpha , \\\\sigma 2\ 0)\ yij Normal(\\\\mu i, \\\\sigma 2)\ Draw a graphical model for this setup

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