I can't say for sure with this one, but any shoplight i've
ever bought at Home Depot does not have any sorta switch.

A couple things you can try -
Plug the light in in a fully dark room...if the ballast is
getting any power you should see a faint glow in the ends
of the bulbs.

Open the fixture and make sure all the wires that go to
bulb sockets are actually connected...(with the thing
unplugged of course) just pull on each wire (not real hard
tho) where it connects to the socket. If it pops out it
wasn't connected properly - just push it back in, then it
should be fine. (i've had this exact problem with new
lights before)

If nothing works...return to store as defective as the
unit probably is bad.

Can you take a picture of each end of them and upload them?

I don't have this exact model, but i have others i can take
a pic of... what do you need to see? just the wiring?
Let me know.

Well I was asking about this exact model since he's having trouble with this exact model. Pictures of something else aren't going to help us figure out what's wrong with his, right?

I'm not sure he's still around, though.