The estimated standard deviation of $\bar { x } _ { 1 } - \bar { x } _ { 2 }$ used in hypothesis tests about $\mu _ { 1 } - \mu _ { 2 }$ is the same as the estimated standard deviation used in calculating confidence intervals for $\mu _ { 1 } - \mu _ { 2 }$.

Question

Quizplus · Accepted Answer

This is true because the estimated standard deviation used in hypothesis tests about $\mu _{1}-\mu_{2}$ is the pooled standard deviation, which is also used in calculating confidence intervals for $\mu _{1}-\mu_{2}$. This is because both methods involve estimation of the standard deviation from the sample data.

The Estimated Standard Deviation Of xˉ1−xˉ2\bar { x } _ { 1 } - \bar { x } _ { 2 }xˉ1​−xˉ2​

The Estimated Standard Deviation Of $\bar { x } _ { 1 } - \bar { x } _ { 2 }$