Samples from 2 d x 2 1 x populations hypothesis tests

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Unformatted text preview: t D, take independent simple random samples from 2 d x− 2 =1 x populations Hypothesis Tests Use for both ◦ use difference between sample means as the d x− 2 =1 x interval random variable estimation d x− 2 =1 x and ◦ use sampling distribution of hypothesis if both populations follow normalx x = − n1 and n2 are E =1 2 µ µ d −) 1 2 ( distribution or if testing large enough for Central Limit Theorem to apply, then σ2 σ 2 will have a normal distribution 2 σ= 1+ d n n2 1 mean or expected value is Statistical Inference about the Difference between Two Population Means (σ1 and σ2 known) population sampling parameter: D = μ1– μ2 xx distribution ofd= 1− 2 Hypothesis Tests Statistical Inference about the Difference between Two Population Means (σ1 and σ2 known) Population Mean μ point estimator x standard error Hypothesis Tests parameter σx = margin of error zα 2 interval estimate σ n σ n x ±z 2 α σ n Recall from chapter 8 Statistical Inference about the Difference between Two Population Means (σ1 and σ2 known) Population Mean Difference Between 2 Population Means parameter μ D = μ1 – μ2 point estimator x d x− 2 =1 x standard error Hypothesis Tests margin of error interval estimate σx = zα 2 σ n σ n x ±z 2 α σ= d z2 α σ n σ2 σ 2 1 2 n 1 + n2 σ2 σ 2 1 2 n 1 d ±z 2 α + n2 σ2 σ 2 1 2 n 1 + n 2 Statistical Inference about the Difference between Two Population Means (σ1 and σ2 known) Population Mean Difference Betwee...
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