A B737-800 WAS DISPATCHED IN NONCOMPLIANCE WITH THE INCORRECT NOSE LNDG GEAR TIRE AND WHEEL ASSEMBLIES INSTALLED. B737-300 WHEELS INSTALLED.

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AN ACFT CAME TO OUR TERMINAL WITH NOSE TIRE VIBRATION. I WENT TO HELP THE MECH ASSIGNED TO THE ACFT. THERE WERE THREE OF US ON THE JOB. WHILE I PREPARED THE ACFT FOR THE JOB; THE OTHER TWO MECHS WENT TO GET THE EQUIP AND HANDPICKED THE TIRES. UNFORTUNATELY; ONE OR BOTH MECHS HANDPICKED THE WRONG TIRES; AN EASY MISTAKE TO MAKE; BUT UNUSUAL. I INSTALLED #1 TIRE AND THE OTHER MECH INSTALLED #2 TIRE. I SIGNED THE LOG BOOK; AND SO I TAKE FULL RESPONSIBILITY FOR NOT CATCHING THE MISTAKE. THE TIRES ARE STORED NEAR EACH SHOP BY A GATE RESTING AGAINST THE BUILDING. THE TIRES ARE ALSO STENCILED ON THE SIDEWALL TIRE AND ALSO STENCILED ON THE BUILDING WALL WHERE THEY ARE STORED. ALSO; THE B737-300/500 TIRES COME WITH A PROTECTIVE COVER; COLOR CODED YELLOW TO DISTINGUISH THEM FROM B737-700/800 TIRES. THE MISTAKE WAS DISCOVERED ON SATURDAY. I BECAME AWARE OF THE MISTAKE THROUGH MY PEERS ON MONDAY. MGMNT NOTIFIED ME OF THE MISTAKE ON WEDNESDAY. I THINK IF YOU MODIFY THE B737-300/500 WHEEL SO THAT IT CAN NOT BE INSTALLED ACCIDENTALLY ON A B737-700/800 ACFT; WOULD PREVENT FUTURE MISTAKES. ALSO; THE PART SHOULD BE CLASSIFIED AS A ROTABLE PART; SO THAT IT MUST BE ORDERED THROUGH THE COMPUTER'S SYS. AT THIS TIME; TIRES ARE JUST HANDPICKED AND ORDERING THE RIGHT PART NUMBER IS NOT NECESSARY.