PassageA researcher collects two independent random samples of size 100100 each from the same population with mean μ\mu and variance σ2\sigma^2. Let Xˉ1\bar X_1 and Xˉ2\bar X_2 be the sample means. It is given that Var(Xˉ1−Xˉ2)=72\operatorname{Var}(\bar X_1-\bar X_2)=72. Based on the above data, answer the given subquestions.