Temperature gage says car is overheating. on 2002 Chevrolet Impala

Not over heating...cold to touch. Replaced thermastat, fan,and the waterpump. Cold air comes out of the vents.

Asked by for the 2002 Chevrolet Impala
2 answers
ck water level and test temp sensor for gauge. if you unplug it the gauge should go to cold if sender is bad
Which engine is in the car? I think you have an engine problem instead of gauge trouble! I hope i am wrong.
On second thought never mind about the eng. size!
Good luck.