I applied online. The process took 1 day. I interviewed at US Navy in May 2007
Interview
Interview was 3 on 1; lasted 1 hour, and address ability to perform as a technical warrant holder for the Naval Sea Systems Command, as the Chief Engineer in a Regional Maintenance capacity for the maintenance and modernization of nuclear submarines.
Interview questions [1]
Question 1
How do you balance the need for getting a submarine with a complex technical problem back to sea as quickly as possible, while ensuring the complete safety of the crew?
The process took 2 days. I interviewed at US Navy in Jan 2007
Interview
The Navy is very thorough with background checks, so make sure you don't leave anything out. Just be honest. I had a few problems in life before getting in (and a few during) but that didn't disqualify me from most good jobs. And stick to your guns. Don't just let them tell you what job to get. Get out and check things.