I applied in-person. The process took 1 week. I interviewed at Trader Joe's (Fairfax, VA) in Aug 2013
Interview
The captain (store manager) had a worksheet with script questions. Not all the questions were mandatory, allowing the captain to pick and choose what topics they wanted your answers on. Managers are routinely shuffled between stores, and being able to speak about experiences at more than one store is a plus. Knowledge of the products isn't necessarily required, but knowledge of their business model (95% private label) is. There was a brief store tour.
Interview questions [1]
Question 1
How you handled adversity or an unpleasant situation at work