Either the coolant reservoir is low on coolant or the coolant level sensor is NG.
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That year model did not use are have a crank sensor.
My 1990 Lumina 3.1 had the same problem and it was caused by the crank sensor.
Yes, a faulty coolant temp sensor can do that.
Drain off about 2 qts of coolant from radiator petcock after engine has cooled. Unplug wire harness from sensor. Remove sensor with a counterclockwise motion. Coat new sensor with a thread sealant and install until snug. Reconnect harness and refill coolant reservoir. Recheck coolant level after useage.
The 1992 Ford F2 50 pickup truck 5.8 liter engine coolant temperature sensor can be found on the top of the engine. The coolant temperature sensor will be near the intake manifold.
on the hrottle body
The coolant sensor is also the temperature sensor, it can be found on the head under the distributor for 1.5 liter Civic motors prior to 1992.
screwed into the exhaust pipe, under the vehicle, close to the exhaust manifold
on the backside of the block toward the firewall if I remember correctly.
behind the harmonic balancer