Exam 12: Estimation: Comparing Two Populations

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If two random samples of sizes n1n _ { 1 } and n2n _ { 2 } are selected independently from two populations with means μ1\mu _ { 1 } and μ2\mu _ { 2 } , then the mean of the sampling distribution of the sample mean difference, Xˉ1Xˉ2\bar { X } _ { 1 } - \bar { X } _ { 2 } , equals:

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If two random samples, each of size 36, are selected independently from two populations with variances of 42 and 50, then the standard error of the sampling distribution of the sample mean difference, Xˉ1Xˉ2\bar { X } _ { 1 } - \bar { X } _ { 2 } , equals 2.5556.

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