Like many, I've had this happen a couple of times and FAA1996 is exactly right. For compensation, they use the last minute coach fare which may very well exceed what you paid for F. Regardless, it will be very close and probably not worth the effort to file a claim for $15. Heck, it's been very painful to get any compensation even when they do an advance schedule change weeks out.
The first time I was exposed to this, we were using BA miles to fly J to to Mexico with a schedule change that left us with overlapping connection times. (how does that even happen in today's world with advanced computer algorithms???) Long story, they basically told us we could take what they had in coach despite their error or cancel out trip for a milage refund.
I have found AA very unaccommodating or even concerned about this subject, so don't expect much. But, I wish you well.