LOW TIME INSTRUCTOR PLT TAKES 2 MIL PLTS UP ON A TRAINING FLT IN A PA44. MIL PLTS HAD DONE THE PREFLT. ON THE SECOND FLT THE ACFT HAD AN ENG QUIT AND INSTRUCTOR PLT COULD NOT GET IT STARTED AGAIN. LANDED WITH 1 ENG SHUT DOWN. FOUND FUEL SELECTOR TANK VALVE CLOSED.

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2 MIL AVIATORS UNDERGOING ATP TRAINING AT A SMALL TRAINING COMPANY IN THE DFW AREA. 1 MIL X PLT WAS AN AWALS PLT WITH 2500+ HRS -- THE OTHER; A MIL Y P3 PLT WITH 2500+ HRS. THE CIVILIAN INSTRUCTOR PREPARING THEM FOR THEIR ATP CHK RIDE HAD LESS THAN 500 HRS. THE 2 MIL AVIATORS WERE SENT TO PREFLT THE PA44. THEY CHKED THE FUEL ON THE FUEL GAUGES AND ACFT APPEARED TO HAVE BEEN FUELED PRIOR TO FLT. ACFT HAD ALREADY FLOWN TWICE ON THE DAY OF THE INCIDENT. THE INSTRUCTOR ARRIVED AND THE FIRST FLT COMMENCED WITH BOTH THE MIL PLTS FLYING APCHS AND MANEUVERS IN PREPARATION FOR AN ATP CHK RIDE THE NEXT DAY. AFTER APPROX 2.5 HRS OF FLT; THE ACFT RETURNED TO BASE AND INSTRUCTOR AND STUDENTS TOOK A SHORT BREAK. ACFT RETURNED TO FLT WITHOUT REFUELING. ACFT FLEW FOR APPROX 2 MORE HRS. WHILE ON THE LAST APCH TO REDBIRD ARPT; ACFT WAS CIRCLED TO LAND. TURNING L TO FINAL; THE R ENG FLAMES OUT. THE MIL Y STUDENT ASSUMES ENG FAILURE IS BEING GIVEN AS A SIMULATED EMER. CONTINUES APCH. INSTRUCTOR PLT TAKES THE CTLS; STATING IT'S ACTUAL. MIL Y PLT CHKS FUEL AND SEES 'EMPTY.' INSTRUCTOR PLT LANDED ACFT WITH R ENG SHUT DOWN. PREVIOUSLY; INSTRUCTOR PLT SECURED ENGS BY SHUTTING OFF FUEL AT TANK AND FORGOT HE SHUT OFF FUEL. ATTEMPTED RESTART WITH FUEL OFF. DID NOT REALIZE WHY ENG WASN'T STARTING UNTIL TOLD BY MIL Y PLT RIDING IN BACK THAT THE VALVE WAS STILL OFF. CHAIN OF EVENTS: MIL PLTS DO NOT REGULARLY CHK FUEL QUANTITY VISUALLY BY LOOKING IN TANKS -- FUEL QUANTITY INDICATORS TEND TO BE FAIRLY ACCURATE. LEARNED LATER; THE ONLY TIME LIGHT CIVIL ACFT GAUGES ARE REQUIRED TO BE ACCURATE IS WHEN TANKS ARE EMPTY. LOW TIME INSTRUCTOR; FLYING WITH HIGH TIME MULTI ENG PLTS.