It depends on how you define 'well paying'. Athletic trainers are not for making a million dollars, but you can definitely live a comfortable life. Like any profession, different job settings will have different salaries. I encourage you to do a few things: 1) visit the National Athletic Training Association (www.nata.org) for detailed information on athletic training salaries, and 2) when discussing your salary as part of the hiring process, be sure that you understand the salary policies at that organization.
Also, consider reviewing the US Department of Labor Occupation Outlook Handbook (http://www.bls.gov/ooh/) which has information about all US jobs and salary information.