Let's presume that intelligence is heritable. Given the difference between humans and other species I do not see how this can be argued.
Let's also presume that intelligence varies between humans. If there is no variation across a population, then it cannot be selected for, unless you argue a stepwise change that's completely uniform, for which I don't see any other evolutionary proxy.
Let's NOT presume that intelligence varies between races.
My question to you is this:
Can the children of a group of humans selected for intelligence (e.g. completed enough education despite a cultural revolution, had enough finances, etc. -- Asians; escaped systematic genocide, etc. -- Jews) be, on average and not uniformly and with lots of overlap, smarter than the children of a group of humans not selected for intelligence (e.g. sold by other Africans into slavery, so presumably disadvantaged in the original African society, lower-educational-barrier illegal immigration as with many Central and South Americans)?
Note for the purposes of this question that reproduction within each group (Asian immigrants : Asian immigrants; Jews : Jews; African-Americans : African-Americans; Hispanics : Hispanics) is much larger than reproduction between groups, preventing admixing over time.