This is not always an advantage. Men are less likely to accept criticism or be critical of their own work. Doubts about research are good, however. I don't think I could say that's true. I think women do science differently, but I would not want to label it better.
Men do interact differently with authority, however.
They're more assertive and argumentative, so naturally one becomes more defensive as a teacher. Science is gender neutral, but the doing of science is not. Bryn Mawr is a good place - perfect for me. I'm always amazed by the incredibly high integrity level of students and faculty, the pervasive desire to maintain quality, to do the best you can. I don't often see that at the other colleges and universities I visit.