You are a HS senior with good grades, test scores, and a decent essay. That's all the engineering school expects for admission. There is no explicit test for spacial reasoning ability, other than your ability to compete at your specific high school, your ability to take the SAT, and your ability to write a boilerplate 5 paragraph essay (probably strongly dependent on whether you use a writing coach or test prep service). You managed to continue to get decent grades in college and land an internship every summer. That's all the FANG expects for hiring.
No spacial reasoning is tested for entry level engineering jobs. Only academic performance which is dubious in its correlations to job performance, and your ability to network during undergrad.
Back to the gender disparity. If all it comes down to for jobs is your grades being decent, and it's not like genders skew in any direction here, and your ability to network, then in my eyes the elephant in the room is the effectiveness of networking. I don't think there is a big difference between nervous women and nervous men talking to recruiters about their first job, so the difference must be in the recruiter's biased perception of the candidate based on their gender.
I think spacial reasoning ability, even if it's stratified by gender as you claim, therefore has no effect on entry level job placement at all.
If you are really curious and want to explicitly prove that testosterone levels affect spacial reasoning, you have to set up an experiment that isolates these variables and not a meta analysis on populations full of confounding variables. You need an experiment.
A good experiment could be to develop a task that assayed spacial reasoning in female rats. You have your control rat, and one you treat with testosterone. Then you see if there is a difference in the ability to complete the task and test for significance. Until that experiment is done, and maybe it has been done already, I'd call this conclusion 'hand wavey,' at best.
Secondly an inability at spatial reasoning definitely is going to make engineering courses much, much harder. So your claim that there is no effect on getting to entry level engineer is overstating your case by a lot.
That said, there is a documented difference between men and women that affects a first hire. And that difference is that the whole "fake it until you make it" attitude is more commonly found among men than women. So there is actually a significant difference between nervous women and nervous men talking to recruiters about their first job. Not sure how important it is, but it should not be discounted.
No spacial reasoning is tested for entry level engineering jobs. Only academic performance which is dubious in its correlations to job performance, and your ability to network during undergrad.
Back to the gender disparity. If all it comes down to for jobs is your grades being decent, and it's not like genders skew in any direction here, and your ability to network, then in my eyes the elephant in the room is the effectiveness of networking. I don't think there is a big difference between nervous women and nervous men talking to recruiters about their first job, so the difference must be in the recruiter's biased perception of the candidate based on their gender.
I think spacial reasoning ability, even if it's stratified by gender as you claim, therefore has no effect on entry level job placement at all.
If you are really curious and want to explicitly prove that testosterone levels affect spacial reasoning, you have to set up an experiment that isolates these variables and not a meta analysis on populations full of confounding variables. You need an experiment.
A good experiment could be to develop a task that assayed spacial reasoning in female rats. You have your control rat, and one you treat with testosterone. Then you see if there is a difference in the ability to complete the task and test for significance. Until that experiment is done, and maybe it has been done already, I'd call this conclusion 'hand wavey,' at best.