If we really want to be analytical about this topic then we first need to determine what is "Smart" And if there is any physical aspects of a female brain vs a male brain that would give the advantage over another. For instance it is a given that the average man is physically stronger than the average woman simply because they have bigger muscles but it doesn't mean that there aren't women who are stronger than men.
Well of course we're smarter. How did you think men came into the world in the first place - through women, they have any of their smarts due to some woman somewhere. ;)
Can "Smarts" Actually be truly measured? Even if you had a standardized test it would only reflect knowledge about a certain area and not everything. Personally, how smart you are has little to do with gender and more to do with choices.
Gender gap discovered in science exam performance
Male students in undergraduate introductory biology courses are outperforming females at test time, but it may be due to how exams are designed rather than academic ability, suggests new research. In addition, high socioeconomic status students are performing better than lower-status students on those same tests. Ref. Source 5m.
More evidence that male and female brains are wired differently
While measuring brain activity with magnetic resonance imaging during blood pressure trials, researchers found that men and women had opposite responses in the right front of the insular cortex, a part of the brain integral to the experience of emotions, blood pressure control and self-awareness. Ref. Source 1o.
Stereotypes about 'brilliance' affect girls' interests as early as age 6, new study finds
By the age of 6, girls become less likely than boys to associate brilliance with their own gender and are more likely to avoid activities said to require brilliance, shows a new study. Ref. Source 6r.
I still do not feel that the average woman or the average male is any smarter than the other. There will always be some women or some men who will be very intelligent. I like this study that shows that we need to change how we are raising the next generation so that girls as well as boys view themselves as brilliant and can do anything they want.
People are people and each of us have different strengths and weaknesses regarding intelligence. I have read scientific studies that men's brains and women's brains generally develop differently and have more development in different areas. I think as very general rule those strengths and weaknesses tend be one set for men and another set for women. Put another way, men tend to have certain strengths and women tend to have other strengths. I see this as a good thing since we can complement each other. But this is a generalization and that is always dangerous as generalizations are wrong quite a large percentage of the time.