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In Testing the Difference Between Two Population Means Using Two xˉ1xˉ2\bar { x } _ { 1 } - \bar { x } _ { 2 }

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In testing the difference between two population means using two independent samples, we use the pooled variance in estimating the standard error of the sampling distribution of the sample mean difference xˉ1xˉ2\bar { x } _ { 1 } - \bar { x } _ { 2 } if the populations are normal with equal variances.


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