I think mine took about a week from the day they told me on the phone that they would send it out (not necessarily the day it was actually sent out).

Also, when I got the offer over the phone, all I got was a letter w/o a class date. When I got my class date, I received an identical letter, except it had the class date. It wasn't until they called to ask if I was going to fly or drive that they sent out the actual new hire packet. With as busy as they probably are, who knows exactly when you'll get it...

Looking through it, there's no reason to stress over not having it right away. It's not like PDT where you need to have everything about the plane memorized before day one... in fact, there wasn't anything aircraft specific. If you have the Turbine Pilot's Flight Manual, there is nothing more complex in the new hire packet.