To cut right to the chase of the matter, and answer the OP’s question as phrased in the title of this thread, Why Are Men More Intelligent Than Women?
Because that’s how Hashem created us. Hashem created men and women differently, not equally. Men have their strengths and women have their strengths. Men are involved in intellectual pursuits in life to a far greater degree than women, traditionally. Thus Hashem gave men a stronger intellectual foundation.