I applied back in late Feb for the job. Here's my timeline of the events. Also since you applied for a seasonal job which starts soon it should move quicker if they are interested. Also, after the interview did they tell you congratulations and anything about a face to face interview? Usually if you pass that's what they tell you. Delta has been known for sending out rejections many months after initial interviews on the phone as well as face to face. It's a long process that requires some patience. But I had some issues with the people doing my background check being incompetent so that added about a month and a half to the process so yours could very well move much quicker.
2/27 Applied Online
3/2 Received Call about phone interview
3/3 Called back and was told I passed
3/5 Received email to call immediately about a f2f
3/6 AM F2F held and CJO received
3/12 Finished my agility/hearing tests...drug test/fingerprints were done the day of the interview
3/21 Received Call about the people running the background check not being able to verify some employment/my
driving history
4/12 Status changed on the website to position offered
5/4 Got tired of waiting for a call so I went to the
airport myself to get it sorted. Started my badge paperwork
5/8 Turned in paperwork and took the required classes to pick up the SIDA/AOA badge
5/15 Received a call about training
5/22 Started training