The problem is, that in casual speech, we can only easily express black-and-white: either men and women are different due to testosterone, or they are not. Neither statement is really correct.
It's a similar story for physical strength. Nobody denies that men tend to be stronger than women, but most people vastly underestimate the disparity. In a study that measured grip strength in 2,000 people[2], the weakest 5% of men were comparable to the top decile of women. Even elite female athletes were only as strong as the median untrained male.
There are more examples (propensity for violence is another big one), but it takes time to find citations. Suffice it to say that most people think the sexes are more similar than they actually are.
1. https://brothersdiamond.files.wordpress.com/2015/02/menwoman... (For more on mental rotation and testosterone's effects, see my comment downthread: https://news.ycombinator.com/item?id=10443021)
2. http://egitim.judo.gov.tr/Dosyalar/makaleler/-ENG-Hand-grip-...
http://www.sciencedaily.com/releases/2010/09/100915080431.ht...
http://www.researchgate.net/profile/Angelica_Moe/publication...
There's also a study showing the field of neuroscience having a tendency to make unsupported and untested claims to confirm stereotypes http://link.springer.com/article/10.1007%2Fs12152-012-9169-1
Political fictions are comfortable but don't really change facts, they just color interpretations. Mischaracterizing observation does not serve to make an argument appear stronger.
Note that none of this means women are inferior, and if you are construing my point to mean I am arguing for that position, you have imposed that on me.
erm...please read
1. Genomic differences between developing male and female brains in the womb-- http://www.sciencedaily.com/releases/2015/02/150203190223.ht...
and if you still feel that somehow humans try to gender stereotype whilst the fetus are still in the wombs, then read this also-
2.Sex differences in rhesus monkey toy preferences parallel those of children-- http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2583786/
I also don't have time to go into the studies you linked about general differences but similar studies have been debunked before. For example with 1.5 day old infants where the experimenters knew about the sex and their bias subtly corrupted the experiment and it did not reproduce when the bias was truly accounted for.
To be clear, men and women are equally mentally gifted as a whole, but focused on different skills, and with bigger variance in men.
Pinker's "Blank Slate" lays out the case well: http://www.amazon.com/The-Blank-Slate-Modern-Denial/dp/15012...
Evolutionary psychology does have some problems :) It's easy to tell dazzling and believable stories in that frame, but much harder to prove them empirically.
I think some real science is being done in the field, but I agree that when people make EP arguments on the internet, you need to apply a lot of skepticism.
1. https://en.wikipedia.org/wiki/Mental_rotation
2. http://www.academia.edu/3118000/The_relationship_of_male_tes...
This means you can always find a study supporting what you want to believe.
Actually, the reference you cited says "slightly better". It may or may not be significant but let's stay on track here.
The Vandenberg and Kuse paper[1] followed up on this using a test that was easier to administer to large groups. In that study, the average male score was the same as the 85th percentile of female scores.
"Significant" describes this difference much more accurately than "slight."
1. http://wexler.free.fr/library/files/peters%20(1995)%20a%20re...
Also, the sample size in the first study was rather small, as they were just trying to answer the question, "Does the time it takes to mentally rotate an object depend on the angle of rotation?" (Answer: yes.)
It's not that weird. If you look back in the HN archives, you can find one or two submissions from transsexual authors who argue, essentially, that after changing genders, they were discriminated against more, and that this proves that society/Silicon Valley/etc must be extremely sexist & discriminatory because nothing else about them changed; many of the HN commenters agreed with the claims.
Not to mention that there are lots of other differences that can have an impact, from the generally reduced physical strength, to birth related effects all the way down to increased life span...
To be clear, I don't think there is any difference in generic mental abilities due to gender / sex, but it seems clear that brains would be affected by hormonal differences - for instance I have a thyroid deficiency, and I can really feel it when I'm low.