Two Means - Matched Pairs (Dependent Samples): Videos & Practice Problems

A study examines two diets and their effects on cholesterol levels. Group $1$ (Diet X) has $10$ participants with cholesterol readings: $195$, $200$, $202$, $205$, $207$, $210$, $212$, $215$, $218$, $220$. Group $2$ (Diet Y) has $11$ participants with readings: $205$, $208$, $210$, $212$, $215$, $217$, $219$, $221$, $223$, $225$, $228$. At $\alpha =0.01$, is there evidence that the mean cholesterol level is lower for Diet X than for Diet Y? Assume equal variances.