2 n n x z 2 d z2 n 2 2 1 2 n 1 n2 2 2 1 2 n 1 d

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Unformatted text preview: ation 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 As always, the margin of error is determined by the sampling distribution and standard error 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 As always, the interval estimate is found by adding and subtracting the margin of error from the point estimate Example Par, Inc. is a manufacturer of golf equipment and has developed a new golf ball that has been designed to provide “extra distance.” Par would like to demonstrate that their n...
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