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6. Assessed at both Level 6 and 7: Assume that in an experiment data is drawn from the normal distribution N(,1). The prior for is N(0,4). Suppose we have observed a random sample x1,x2,,x25 such that all are iid and distributed as N(,1). Find the 95% credible interval for , given that we have observed X=25x1+x2++x25=0.56. You may want to use the results from Problem 5, above..

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6. Assessed at both Level 6 and 7: Assume that in an experiment data is drawn from the normal distribution N(,1). The prior for is N(0,4). Suppose we have observed a random sample x1,x2,,x25 such that all are iid and distributed as N(,1). Find the 95% credible interval for , given that we have observed X=25x1+x2++x25=0.56. You may want to use the results from Problem 5, above.

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