Given a data set of course grades, there is a female student dummy variable that is set to 1 if a student is female, and 0 if male. There is also a dummy for female instructors.
How would I perform the Hypothesis test using T-test with 5% significance, that the grades in classes taught by female instructors are higher than ones taught by male instructors, and that these differences are larger for female students? I am trying to do this in STATA. I know how Hypothesis testing works, but I don't know how to set up this problem.