Question: Name the school that joined the Big 12 between 2010 and 2013 but also was the only school in the nation in 2007 to win a BCS game, a NCAA Men's Basketball Tournament game, and a NCAA Women's Basketball Tournament game
Sentence (from "West Virginia Mountaineers"): The Mountaineers have been a member of the Big 12 Conference since 2012.
Relevant evidence: Yes