I applied in-person. The process took 2 days. I interviewed at Publix (Tuscaloosa, AL) in Mar 2012
Interview
After you get a call back, the store or department manager will interview you personally. They'll do a typical question process determining your personality and work ethic while reviewing your application with you. If they like what they see they'll give you a call back for a second interview. Getting a second interview means you have the job.
Interview questions [1]
Question 1
Why did you choose Publix over any other grocery store?