I seriously doubt about inherited causes for psychological differences between men and women.
I believe that the degree of difference between the average of all men and the average of all women is smaller than the average degree of difference between any two individuals. Or on other words, your gender makes up a negligibly small part of your personality.
And I think the areas where men and women manifest the widest differences are in moments of social awareness when they conform, and thus these widest differences are also the most superficial and ephemeral.
Within those terms, I find it hard to believe that one sex is more rational than the other.