CAPT OF A WDB ACR ACFT OVERSHOT THE FINAL APCH COURSE CAUSING A TCASII RA AND EVASIVE ACTION CLB IN RESPONSE TO THE WARNING AND SUBSEQUENT INTERVENTION BY ATC TO BRING THE RPTR BACK ON TRACK.

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IT WAS THE END OF AN 11 HR FLT AND 7 DAY TRIP AS WE APCHED THE LAX TERMINAL AREA FROM THE N. IT WAS A CLR 30 MI VISIBILITY DAY. WE WERE ASSIGNED A HDG 070 DEGS AFTER SANTA MONICA VOR AND THE CAPT ASKED THE FO TO LOAD RWY 25L IN THE FMC EVEN THOUGH WE WERE TO EXPECT RWY 24R. (IT WAS IN THE HOPE WE WOULD BE ASSIGNED 25 AT THE LAST MIN.) APCH TURNED US HDG 140 DEGS AND ASKED US IF WE HAD 1 O'CLOCK TFC IN SIGHT FOR RWY 24R. WE SAID YES. APCH THEN CLRED US FOR VISUAL APCH RWY 24R TO FOLLOW TFC AND SWITCH TO TWR. THE FO WAS SWITCHING RADIOS AND THE CAPT WAS FLYING. I WAS THE RELIEF FO WATCHING FOR TFC. I NOTICED THE CAPT WASN'T TURNING FINAL WHEN I THOUGHT IT WAS TIME. I THEN ASKED IF WE WERE STILL CLRED FOR RWY 24R OR HAD I MISSED SOMETHING AND IT WAS CHANGED? THE CAPT SAID WE WERE STILL CLRED RWY 24R. I THEN ASKED IF HE HAD THE ARPT IN SIGHT? HE SAID YES. ABOUT THAT TIME THE FO TOLD HIM ALSO TO GO TO RWY 24R. BY THIS TIME HE WAS LINING UP WITH THE 25'S INSTEAD OF RWY 24R. WE WERE TELLING HIM IT WAS THE WRONG RWY WHEN WE HAD A TCASII RA. IT TOLD US TO CLB WHICH THE CAPT DID. AT THE SAME TIME LAX TWR DISCOVERED OUR ERROR AND SAID SHE HAD US AND THE RWY 25 TFC IN SIGHT AND FOR US TO PROCEED TO RWY 24R. WE LANDED WITHOUT FURTHER INCIDENT. ON DEBRIEF THE CAPT SAID HE KNEW WE WERE CLRED RWY 24R BUT HE HAD IT IN HIS MIND RWY 25 WAS RWY 24. ALSO THE FMC WAS NEVER CHANGED BACK FROM 25L TO 24R. SO HE HAD INFO; EVEN THOUGH FALSE; TO BACK HIM UP.