ACR LTT WRONG RWY APCH LDNG AT LAX.

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CAPT; PNF. F/O; PF AND JUMPSEAT OBSERVER ON A FLT FROM PSP TO LAX. LAX APCH HAD CALLED TFC AND ASKED US TO KEEP OUR SPD UP AND CLRED US FOR THE 25L ILS. HANDED OFF TO TWR; WE HAD A FEW RWY CHANGES AS WE HAD WITH APCH. APCH FIRST HAD CLRED US FOR A VISUAL APCH BEHIND A HVT; THEN CHANGED IT TO AN ILS. AT ABOUT 3-4 MI FINAL; TWR CLRED US TO LAND ON RWY 25R. I HESITATED IN MY REPLY AS I DID NOT HAVE THE ARPT IN SIGHT. AT THAT TIME THE F/O CALLED 'RWY IN SIGHT.' I THOUGHT HE WAS TELLING ME 1) ARPT IN SIGHT AND 2) HE HAD HEARD THE TWR AND COULD TAKE 25R; ILS WAS ON 25L. I LOOKED AT THE LOC; G/S; WE WERE RIGHT OF THE LOC; A LITTLE HIGH ON SLOPE; ABOUT RIGHT. I WENT BACK INTO THE COCKPIT TO FINISH THE DELAYED CHKLIST; DELAYED TO HIGHER SPD ON APCH. ON VERY SHORT FINAL; OVER THRESHOLD; I REALIZED WE WERE LNDG ON THE LEFT. TWR SAID ON ROLL OUT; NO BIG DEAL AS NO CROSS TFC. WHY IT HAPPENED: MY IMPROPER SUPERVISION OF F/O. CONTRIBUTING: NEW F/O ABOUT 2 WKS IN AIRPLANE. NEW TO LAX AND NOT USED TO KEEPING SPD UP ON APCH. MORE OF MY ATTN THAN USUAL WAS BEING USED TO TALK HIM THROUGH SPD CTL ON APCH. PRESSURE ON F/O AND CAPT DUE TO OBSERVER. POOR VIS; LOOKING INTO SUN ON VERY HAZY; SMOGGY DAY. PREVIOUS RWY CHANGES. CAPT ASSUMING F/O'S FLYING SKILLS BETTER. POOR COCKPIT COM; CAPT MISUNDERSTANDING F/O'S RESPONSE. F/O AMIDST TO USUALLY TUNING OUT; MENTALLY; RADIO WHILE FLYING. CAPT'S PHYSICAL CONDITION; TIRED; CONGESTED; GETTING OVERWORKED TO PREVENT: MORE ATTN BY CAPT. OBSERVER; WITH HEADSET SO HE COULD HEAR TWR. DID NOT REALIZE WHAT HAPPENED UNTIL TWR SAID WHAT HAPPENED.