One of the key assumptions that underpin the independent t-test is that there should be no significant outliers. The question is how can I determine whether an outlier is a significant outlier in Stata?
Also rember that in most cases you will want to be careful with outliers. Single ones do not violate distributional assumptions severely, and if there’s no very good reason to remove an observation (methodological flaw, error, nonstandard observation) It should not be done lightly.
You can obtain influence statistics such as leverage, Cook's distance, dfbetas using the predict command in STATA after running the regression model and evaluate your results appropriately.