Rypien, a Boise State product and nephew of Super Bowl MVP Mark Rypien, was 10 of 14 for 134 yards.
Stick, from North Dakota State, completed 5 of 8 passes for 51 yards.
Purdue's David Blough had two touchdowns and 149 yards on 10-of-15 passing.
Rypien connected on a 22-yard scoring strike with LSU's Nick Brossette during the first drive of the game.
The East got to 21-14 during the final three minutes of the third when Blough threw 6- and 18-yard TD passes to Terry Godwin II of Georgia. Godwin had four receptions for 80 yards.
Matthew Gay of Utah had a 47-yard field goal that cut the East deficit to 21-17 with 4 minutes left.
West's Darrin Hall Jr. of Pitt was the leading rusher with 77 yards on 12 carries.
One of the most exciting plays came on the final play in the first half when James Madison's Jimmy Moreland caught a 61-yard field-goal try by John Baron II of San Diego State in the back of the end zone and was tripped during his return near midfield.
MINING FOR RECEPTIONS
Colorado School of Mines wide receiver Brody Oliver had two catches for 12 yards. He was targeted three times.