So, I've been accepted to UChicago's IME program and Washington University in St. Louis' engineering program without an interview. I was already sort of leaning toward WUSTL's PhD program for one of the professors there, but the stipend for WUSTL is $28k while the stipend for UChicago is $37K, which is quite a big difference.
Is it appropriate/is there a way to bargain with WUSTL, because if they raised their stipend I might be more willing to go there, but I really don't want to offend anyone.