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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, the sampling distribution of the sample mean difference xˉ1xˉ2\bar { x } _ { 1 } - \bar { x } _ { 2 } is normal if the: A.sample sizes are both greater than 30 . B. popul ations are normal.C.populations are non-normal and the sample sizes are large. D.All of these choices are correct. \begin{array}{|l|l|}\hline A.&\text {sample sizes are both greater than 30 . }\\\hline B.&\text { popul ations are normal.}\\\hline C.&\text {populations are non-normal and the sample sizes are large. }\\\hline D.&\text {All of these choices are correct. }\\\hline \end{array}


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