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3 Difference of means of normal populations, variance given [ Two sample Z-test] 6. Population : N(μs, o), N(2.0) with v
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3 Difference of means of normal populations, variance given [ Two sample Z-test] 6. Population : N(μs, o), N(2.0) with v
3 Difference of means of normal populations, variance given [ Two sample Z-test] 6. Population : N(μs, o), N(2.0) with variance of, of known. Null hypothesis: Hg ₁-₂5 (difference of population means is some value 6. For example, if #₁ = 2 is the hypothesis, would be 0) Natural estimator for 1-2 Input: Level of significance o, 11, 12, ₁, observed sample from first population and 121,22,2 observed sample from second population. Test statistic: Z =? Distribution of test statistic if the null hypothesis holds true: ? . Why? 41-428 H1-H₂ <8 Alternative H₁: Test (critical region): Sketch of CR (under pdf) : H1-H₂> 8
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