I'm definitely not going to try and contradict the official purpose of the CFA. But the unofficial truth about it is that they want to make sure that you are physically fit to attend basic cadet training and serve in the United States Air Force. The CFA is one such measuring stick. How well you do on it really isn't that important. It just seems that way because it is athletic/sport related and our innate predisposition is to compete. The truth is; as long as you pass it, they really don't care if 1 person did 2 more pullups than another person. Of course; if you ace the thing, they notice it. If you fail any part of it, they notice that also. But basically; they just want you to be able to pass it.
I'm not saying not to try your best. What I'm saying is that if the academy/board doesn't request that you retake it; then don't sweat it. If it was high enough, then you are fine. Trust me; a 20-30 point increase on your SAT has more of an impact than 2 more pullups. If however you are asked to retake it; that's good. You already know that the first time probably wasn't the best in the world. But; they say enough in your file to try and get you more competitive. If you weren't asked to retest; then you know by your scores if you did fine. They probably were impressed or no impressed enough by the rest of your application that a retake isn't necessary.
Pima is correct that the altitude is a very big concern for the academy. That is one reason for things like the CFA, medicals, etc... The altitude can play havoc on people not use to it. While my son was in basic, one of the football coaches asked him if he'd participate in an altitude test. He was raised almost his entire life in these Rocky Mountains; and being an athlete he was one of the control subjects. They take physical fitness that serious at the academy. So, whether you were asked to retest or not, don't worry about it. You know what your score was when you took it. If you failed it, you shouldn't have submitted your scores. But either way; if you passed it, that's all that matters. How HIGH your score was is not all that important. Not unless you aced it all. later.... mike.....