Tough to Say.
I know when I returned my first 2 iphone 4's at Apple they didn't look it over all that much. In fact the whole thing was very informal. They didn't even ask for a receipt the first time. Then again it was right after the "problem" was announced. Did you get a full subsidy? If not, and you paid over $400 for it you will have to wait for a check refund. Pretty sure they don't do cash returns for over $400. (I returned a TV once only a week after I bought it) The check came in a week or less.
I don't know how far you are from an Apple store but if it's within an hour I'd go there. They made it very painless for me. Then again I was replacing not returning. Good Luck.
Blonde Buddhist