Believe it or not, my LTE connection on the new iPad is faster than the Wi-Fi at work. The work Wi-Fi is about as fast as my old DSL connection. That says a lot for AT&T's LTE speeds, at least here in Southern California. I only wish I could get AT&T's earlier plan. I am stuck at $30 for three GB per month. I only turned it on when the Internet went out at work about a month ago. Now my month is about up and I can't bring myself to cancel it LOL! Only using 1 GB of the 3 GB available.
I have noticed that my Wi-Fi seems to work better than other people's iPads. My new iPad was able to maintain a Wi-Fi connection, when another iPad 2 could not. There is one conference room at work where the Wi-Fi connection is quite weak.
All in all I've been lucky with my new third-generation iPad!