I am trying to compare the means of the same variable between men and women. This is the statistics:
N Mean Variance Coef. Var. Gender
2000 26.12 10.89 0.13 Male
50 56.10 25.01 0.09 Female
Neither variable is normally distributed but taking the log makes it pretty darn close. What is the appropriate way to test the means between males and females? Should I use the log or not? Any additional advice using Stata would be helpful.
My initial reaction is that females fairfare better than men, but I want to be statistically rigorous.