The following is random data from a normal distribution with variance 9 (a) Test the hypothesis, H0 0 versus Ha 0 Assume that the prior is N (0, 4), so that 0 and 0 are equally probable (b) Compare your decision with classical hypothesis testing, with 0 05 0 92 1 05 5 53 3 64 4 47 2 60 0 73 66 38 3 87 742 1 76 0 01 2 69 54 3 97 1 341631 24 4 78

Question: The following is random data from a normal distribution with variance 9. (a) Test the hypothesis, H0: 0 versus Ha: > 0.

The following is random data from a normal with variance 9.

(a) Test the hypothesis, H0: Î¼ ‰¤ 0 versus Ha: Î¼ > 0. Assume that the prior is N (0, 4), so that Î¼ ‰¤ 0 and Î¼ > 0 are equally probable.
(b) Compare your decision with classical hypothesis testing, with Î± = 0.05.

0.92 1.05 5.53 3.64-4.47-2.60 0.73.66 38 3.87 742 1.76 0.01 2.69 54 3.97 1.341631.24-4.78

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