No the Kansas State Basketball team has never won a national championship. Kansas State won the Big 12 conference championship in 2013.
No they haven't one a national championship
no
No
Penn State never won the national championship but they've made the final four several times.
Yes in 1960.
Not in Men's NCAA Basketball
Tennessee won the 1998 national championship after winning the 1999 Fiesta Bowl against Florida State in the first-ever BCS National Championship.
No. Their best finish was runner up in 1951 when they lost in the championship game to Kentucky, 68-58.
No!
Joe Namath?
Yes. In the 1996 season, Florida State and Florida played in the Sugar Bowl for the National Championship. I'm not sure about any other intra-state meetings.
Yes, but not since the BCS has been involved