If both programs are equal in preparing you for your future, in the words of a beloved AP Eng. teacher when I was trying to decide on colleges, "Follow the money" (or in this case the one that will cost least).
If your area of interest is engineering, sciences, math or library science, then UIUC. If liberal arts, then either, but I might give an edge to Rutgers.
OOps,...just saw your area is statistics...I would go with UIUC. But of course, this is a decision only you can make!
I read somewhere on the Grad Cafe that MEng was more for people that want to join the work force after they achieve their Masters and MS is for people that want to go into research with their Masters.
I don't know if this is so, but it seems logical to me.