What happened
The FAA’s narrative, in sentence case. The FAA writes it in capitals and removes private details.
According to statements taken, during instructional flight at 4500FT AGL near Half Moon Bay CA, experienced engine failure. Declared emergency. Tried to restart engine. Followed emergency proceedures in POH. Landed at Half Moon Bay Airport without injury or damage. Faulty fuel valve (recently installed, new unit from Cessna) was determined to cause the fuel starvation problem. In "both" position, or "right" position, the valve only supplied fuel from the right-hand tank. This, combined with a faulty fuel quantity indication, caused inaccurate calculations. (The right tank was depleted, while the left tank remained full.)
As the FAA filed it
ACCORDING TO STATEMENTS TAKEN, DURING INSTRUCTIONAL FLIGHT AT 4500FT AGL NEAR HALF MOON BAY CA, EXPERIENCED ENGINE FAILURE. DECLARED EMERGENCY. TRIED TO RESTART ENGINE. FOLLOWED EMERGENCY PROCEEDURES IN POH. LANDED AT HALF MOON BAY AIRPORT WITHOUT INJURY OR DAMAGE. FAULTY FUEL VALVE (RECENTLY INSTALLED, NEW UNIT FROM CESSNA) WAS DETERMINED TO CAUSE THE FUEL STARVATION PROBLEM. IN "BOTH" POSITION, OR "RIGHT" POSITION, THE VALVE ONLY SUPPLIED FUEL FROM THE RIGHT-HAND TANK. THIS, COMBINED WITH A FAULTY FUEL QUANTITY INDICATION, CAUSED INACCURATE CALCULATIONS. (THE RIGHT TANK WAS DEPLETED, WHILE THE LEFT TANK REMAINED FULL.)