Welcome to tarantula ownership, this is pretty much what they do best :}it has been sitting in the same spot for hours now
At that size it should be kept on damp substrate, but it is perfectly warm enough for it at the temp you have it now. Tarantulas are not overly active animals either, unless it is a M(ature)M(ale). However, yours may have been cold, but it should be warmed at this point. So my guess is it is probably just stressed from the experience of being shipped. It will probably be a few days before it settles in.It is only around 0.5". I have it a cube enclosure and I have temps around 75 degrees. My normal house temperature is around 70 degrees. I hope it did not get too cold in shipping container.
Sounds good!Thanks so much for the replies everyone. I think I'll leave it alone for a day or two. It is an A. brocklehursti, but only around half an inch. Right now I'm keeping it humid and warm. I probably won't buy t's during winter anymore; the avics I've gotten from shipments during the spring were lively right out of the box.