What was found
AIRCRAFT WAS GROUNDED: AT FL370 CABIN DIFFERENTIAL PRESSURE WAS NORMAL. AT FL 380 IT WENT TO 8.65-8.70 (8.35NORMAL). AT FL380 CABIN PRESSURE WAS 6500-7000FEET. DESCENDED TO FL360 AND DIFFERENTIAL STAYED HIGH (8.4-8.5) UNTIL WE DESCENDED THROUGH ABOUT FL 300. ACCOMPLISHED BOTH DCPC BITE CHECK. IAW AMM #21-31-00. NO FAULTS NOTED. REMOVED AND REPLACED CABIN ALTITUDE AND DIFFERENTIAL PRESSURE INDICATOR IAW AMM #21-33-02.