Now I'm hearing you say that temperature can change whether an egg produces a female or male chick?
No, not quite.
The same egg will not produce a different gender of chick.
But some people have suggested that the fridge might kill not-yet-developed chicks of one gender while leaving the other gender alive to hatch. So it would look like only half of the eggs hatched, but the live chicks would be mostly one gender. (So far, it doesn't look like it works very well.)