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7 (20 points) Consider the sample of size / = 12 from the normal distribution N(#, 62) with unknown mean / and standard deviation c.

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(20 points) Consider the sample of size / = 12 from the normal distribution N(#, 62) with unknown mean / and standard deviation c. Assume its empirical mean a = 0.31 and empirical variance s = 1.65. Test the hypothesis that u = 0 on significance level 95%. Use the Student 7-distribution

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