1. [5 points) Suppose = [1 1 ... 1]?. So, we are trying to decide between two hypotheses, ...,n Ho : X; ~ N(0,02) for i Hi: X; ~ N(1,02) for i = 1, 2,.. 1,2, '.,n. That is, we have n independent realizations of a Gaussian random variable and we wish to decide whether the mean of that random variable was 0 or 1. Explain how the decision rule in t solutionspile.com

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1. [5 points) Suppose  = [1 1 ... 1]?. So, we are trying to decide between two hypotheses, ...,n Ho : X; ~ N(0,02) for i Hi: X; ~ N(1,02) for i = 1, 2,.. 1,2, '.,n. That is, we have n independent realizations of a Gaussian random variable and we wish to decide whether the mean of that random variable was 0 or 1. Explain how the decision rule in this context (where  = [1 1 ... 1]7) boils down to computing the sample mean of the observation vector.   solutionspile.com

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(Solved): 1. [5 points) Suppose = [1 1 ... 1]?. So, we are trying to decide between two hypotheses, ...,n H ...

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