A good way to evaluate that question is to look at the average GMAT score for that school. Below are rankings from #34 and onward.
USNEWS 2013 MBA Ranking University Name 2012 Full-time MBA GMAT Score Average
34 University of Wisconsin–Madison 680
35 Texas A&M University–College Station 649
36 University of Florida 680
37 University of Maryland–College Park 660
37 University of Rochester 680
37 University of Texas–Dallas 660
40 Boston College 666
40 Boston University 682
40 University of California–Davis 680
43 Michigan State University 645
44 Purdue University–West Lafayette 635
44 University of Arizona 604
44 University of Iowa 666
47 University of Illinois–Urbana-Champaign 650
47 Wake Forest University 648
49 Pennsylvania State University–University Park 634
49 University of California–Irvine 600
51 University of Massachusetts–Amherst 640
52 Case Western Reserve University 633
52 Southern Methodist University 639
52 University of Georgia 637
52 University of Missouri 648
56 Babson College 618
56 George Washington University 635
58 Temple University 640
58 University of Alabama 647
58 University of Connecticut 630
61 Louisiana State University–Baton Rouge 615
61 Northeastern University 643
61 Rutgers, the State University of New Jersey–New Brunswick and Newark 640
61 University of Pittsburgh 608
61 University of Utah 560
66 University of Arkansas–Fayetteville 649
67 Tulane University 664
67 University of Oklahoma 617
67 University of Tennessee–Knoxville 608
70 Baylor University 628
70 College of William and Mary 614
70 Iowa State University 600
73 University of California–San Diego 680
73 University of South Carolina 620
75 Auburn University 657
75 CUNY Bernard M. Baruch College 635
75 University at Buffalo–SUNY 620
75 Virginia Tech 626
79 Binghamton University–SUNY 600
79 Fordham University 600
79 Syracuse University 627
79 Texas Christian University 641
79 University of Colorado–Boulder 630
84 Bentley University 610
84 St. Louis University 570
86 San Diego State University 592
86 University at Albany–SUNY 583
88 North Carolina State University 600
88 Oklahoma State University 550
88 Thunderbird School of Global Management 610
91 University of Miami 638
91 University of Oregon 649
93 DePaul University 560
Your first choice UT Austin looked like it had an average GMAT score of 693
17 University of Texas–Austin 693