Problem: Estimate coefficient of variation for the mean expenditures for a number of groups. For each group, I have a sample of totals and the counts of people. E.g., for group A, I have totals (people): 1000(200), 1100(205), 1113 (199), and so on.
Based on the CLT, the means should be approximately normally distributed for large enough sample sizes. I can then use the estimator given here.
My question is how should I handle the estimation for groups where the sample size is small? For example, I have some groups with only 4 data points. Would this be a good case for resampling techniques like bootstrapping?