For both large and small samples the estimated standard deviation of $\bar { x } _ { 1 } - \bar { x } _ { 2 }$ is calculated the same way.

Question

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The estimated standard deviation of $\bar { x } _ { 1 } - \bar { x } _ { 2 }$ is calculated using the formula $\sqrt {\frac {s_{1}^2}{n_1}+\frac{s_{2}^2}{n_2}}$ which is the same formula for both large and small samples. Therefore, the estimated standard deviation is calculated the same way for both large and small samples.

For Both Large and Small Samples the Estimated Standard Deviation xˉ1−xˉ2\bar { x } _ { 1 } - \bar { x } _ { 2 }xˉ1​−xˉ2​

For Both Large and Small Samples the Estimated Standard Deviation $\bar { x } _ { 1 } - \bar { x } _ { 2 }$