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2) Given that under the H. the observation is normally distributed with mean zero and variance 1, while under Hi the observation is normally distributed

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2) Given that under the H. the observation is normally distributed with mean zero and variance 1, while under Hi the observation is normally distributed with zero mean and variance 2. i) What is the sufficient statistic for deciding between the two hypotheses. ii) Suppose that the following decision rule is used for deciding between the two hypotheses: If 1 = X2 2 4 decide H1

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