Earlier quoted context omitted.
I suspect the actual correlation is not with wealth (i.e. giving money so somebody with low SAT scores would not actually improve their scores - unless he would have enough money to bribe whoever is overseeing the test of course ;) but with some things that correlate with wealth.
Money buys access to tutors and training materials. It buys access to free time for practicing for your SAT. It also buys opportunity to repeatedly retake the SAT until you get a grade you like.
I would bet that's far more likely.