When two independent random samples of sizes and have been selected from populations with means and and variances and , respectively, the standard error of the sampling distribution of is found by taking the square root of the sum of the two population variances.

Question

When two independent random samples of sizes  and  have been selected from populations with means  and  and variances  and  , respectively, the standard error of the sampling distribution of  is found by taking the square root of the sum of the two population variances.

Quizplus · Accepted Answer

The standard error of the sampling distribution for the difference between means is found by taking the square root of [(variance of population 1/n1) + (variance of population 2/n2)], not just the sum of the two population variances.

When Two Independent Random Samples of Sizes and