Let Y1, Y2, ... , Yn be n independent random variables with normal distributions N(xi

Chapter 8, Problem 8.7-11

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Let Y1, Y2, ... , Yn be n independent random variables with normal distributions N(xi, 2), where x1, x2, ... , xn are known and not all equal and and 2 are unknown parameters. (a) Find the likelihood ratio test for H0: = 0 against H1: = 0. (b) Can this test be based on a statistic with a well-known distribution?

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