We do this experiment all the time. It’s called “education”. It’s results are somewhat disappointing: people who do well in grades 1-3 also mostly do well in grades 13-16, and the converse is also true. Abilities are trainable, but trainability is also varying across people, and we don’t know how to train people to be better at learning to any substantial degree.
Anyone who has actual and nontrivial experience in teaching (say, over 50 students over at least few months) will tell you this simple empirical fact: some people just “get it” much easier and quicker than others. The only way to escape this reality is to sort people by mental ability, so that you only see people in the same ability bracket, but that’s just it, an escape.
We collectively have enormous amount of experience in educational interventions, and, in short, none of it really works. It’s easy to complain about lack of resources, about low teacher quality, about wrong methods, and all of these are in fact real problems, and pretty complex and hard to tackle too. At the same time, even if we pull each of those to the state of the art, we can only expect a marginal improvement.
Have you noticed how the educational establishments seem to try a new thing every 5-10 years or so? That’s because none of it really pushes the needle, and these 5-10 years are what it takes to realize that. In reality, the “new thing” is in fact usually an old thing that has already been tried a generation or two ago, but which has not been seen by the current generation of education workers. That’s because everything has already been tried, and none of it really works.
On a more optimistic side, that means that even if the education system is suboptimal, it doesn’t really matter, as outcomes are more or less the same anyway.