The pooled t confidence interval for estimating $\mu _ { 1 } - \mu _ { 2 }$ with confidence level $100 ( 1 - \alpha ) \%$ using two independent samples X and Y with sizes m and n is given by __________.

Name: The pooled t confidence interval for estimating $\mu _ { 1 } - \mu _ { 2 }$ with confidence level $100 ( 1 - \alpha ) \%$ using two independent samples X and Y with sizes m and n is given by __________.
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The Answer is

\bar { x } - \bar { y } \pm t _ { \alpha /2 , m + n - 2} \cdot \sqrt { s _ { p } ^ { 2 } \left( \frac { 1 } { m } + \frac { 1 } { m } \right) }

The Pooled T Confidence Interval for Estimating μ1−μ2\mu _ { 1 } - \mu _ { 2 }μ1​−μ2​

The Pooled T Confidence Interval for Estimating $\mu _ { 1 } - \mu _ { 2 }$