I have a Craftsman model 919.166330 compressor. When I turn on the switch it runs for about 5 to 10 seconds and begins to slow down until it stops and hums.

SOURCE: whirl pool side by side refrigerator problem

It looks like the Capacitor Start Relay is failing.  It is located either on the starter Relay or mounted on the side of the compressor compartment.  It sould have two wires on it, one orange and the other probably white.

SOURCE: compressor hums and shuts off

This sounds very much like a compressor failure. unplug the refrigerator and check the condenser for cleanliness. After cleaning the condenser and allowing the compressor to cool, plug it back in and listen for the same sounds. If the compressor was overheated it should restart after it cools. If it does not restart the compressor could be seized. Check the compressor warranty against the age of the refrigerator.

SOURCE: coleman rv a/c

It is definitely with the compressor. It should more like you may have a weak winding in the compressor, you can a hard start capacitor (sp5 ) that will help the compressor on restart. Note that this is a last chance solution for a compressor.

SOURCE: Sears Craftsman 3-Gallon, 1.5 HP Air Compressor Hums

YES IT MAY BE THE CAPACITOR . IT COULD ALSO BE THE WIREING IN THE MTR, THE PUNP ITSELF.

SOURCE: Machine slows down,stops, starts again. Foot control problem?

Yes it does sound like a faulty foot control. The power cord is probably fine, you just need the controller. Ebay is a good source for parts.