8.3.1 - Confidence Intervals

The formula for constructing a confidence interval for the difference in paired means is almost identical to the formula for constructing a confidence interval for one mean. Note that the only change is the subscript d which stands for difference.

Confidence Interval for the Difference Between Two Paired Means
\(\overline{x}_d \pm t^* \left(\frac{s_d}{\sqrt{n}}\right)\)
\(t^*\) is the multiplier with \(df = n-1\)