>>In my office almost all of the management positions are filed by women while almost all the technical people are men.
This again creates a new problem of 'Smart engineers' Vs 'Dumb managers'. To a point eventually you get to reducing management to routine supervision work.
In the past I have seen a situation where a program manager was routinely pissed because he was barely able to understand what engineers were talking about. After routinely under estimating time estimates he came to a point where the entire argument on him could be reduced to a rude statement: 'Why don't you stick to your spreadsheet cell filling work, and let us engineers do real work. Work that matters isn't your cup of tea'
I can see where this would go in case of women managers. In only some time, men would be accused of things like 'mansplaining'.