Question: 16. Consider an extremely simple testing problem. X' N(f-L, 1). You have to test H 0 : fL = 0 versus H 1 : fL

16. Consider an extremely simple testing problem. X"' N(f-L, 1). You have to test H 0 : fL = 0 versus H 1 : fL -=f. 0. Is AIC appropriate for this? Compare AIC, BIC, and the usual likelihood ratio test, keeping in mind the conflict between P-values and posterior probability of the sharp null hypothesis.

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