For both men and women, the people who had lowered their pitch ended up with a higher social rank
Famously Margaret Thatcher consciously changed the way
she spoke in order to further her political career; perhaps
Elizabeth Holmes baritone is another example. Seems to be though, that we associate leadership (male or female, male with obvious advantage) with lower pitched voices, which may not be something we can correct for with anti-bias training. Lots to ponder, have a read,
here