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Mathematics
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Hypothesis testing: We collect observations X1,...,Xn from a normal distribution with mean μ and variance σ^2 in order to test the hypothesis Ho : μ = 0 against H1 : μ > 0 at the level of significance 0.05. A preliminary investigation yields σ ≈ 2. How large a sample must we take in order to have power equal to 0.95 when μ = 1?
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