The only difference in the formula for the sample standard error of the difference and the sample standard error of the mean is the use of s_D instead of s.

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Quizplus · Accepted Answer

The sample standard error of the difference is calculated using the formula:s_D = sqrt((s_1^2/n_1) + (s_2^2/n_2))where s_1 and s_2 are the sample standard deviations of the two groups being compared, and n_1 and n_2 are the sample sizes of the two groups.The sample standard error of the mean is calculated using the formula:s = s / sqrt(n)where s is the sample standard deviation and n is the sample size.The only difference between the two formulas is the use of s_D instead of s. This is because the sample standard error of the difference takes into account the variability of both groups being compared, while the sample standard error of the mean only takes into account the variability of a single group.

The Only Difference in the Formula for the Sample Standard