Yes, I think mostly positive replies are coming back. Don't worry, if they said its going to take some time, give them some time. They sure aren't playing any tricks on you!
I didn't send any package, it was a doc for me. I submitted on 26th, under review mail came on 6th Dec. And I guess School would be closed for holidays so next invites should go in mid-Jan or so. Anyways being from India they know its most unlikely that you would visit them to NY for interview so they would not be in a hurry to send you a notification. Ofcousre, I am just guessing!