4 Difference of means of two normal populations, variance not given but ...?... [Two sample T-test] 7. Population : N(₁,

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4 Difference Of Means Of Two Normal Populations Variance Not Given But Two Sample T Test 7 Population N 1 (36.18 KiB) Viewed 38 times

4 Difference of means of two normal populations, variance not given but ...?... [Two sample T-test] 7. Population : N(₁,0²), N(₂,0²). Null hypothesis: Ho: ₁-₂=8 Natural estimator for 1-2 Input: Level of significance o, 11, 12, 1n observed sample from first population and 221, 222...2n observed sample from second population. Test statistic : T = Distribution of test statistic if the null hypothesis holds true: ? Why? 11-1₂ 48 Alternative H₁: M₁-1₂<8 Test (critical region): Sketch of CR (under pdf) : M-1₂6