My guess is that the prob isn't likely to be caused by the power bar itself, unless you got a really cheapy one or just a bad one out of the box. Anything's possible, though ....
Extension cords are sometimes frowned upon by some mfgrs, but then you didn't say anything about using one on this setup. If your lamp's flickering like you say though, you've obviously either got a lamp going bad or a wall voltage problem. You could pick up a digital multimeter fairly cheaply at any Radio Shack or comparable electronics store, stick the probes in the socket and check it. If your voltage is dropping and bouncing all over the place, well, .... Only prob with that is the voltage may be fine for hours, then drop once, then be fine again, then drop later on, then ....
And, of course, you know that the prob could be the monitor itself or the computer. You're just gonna have to isolate components and rule things out by process of elimination, is my guess. Did you try what Vshah suggested?
Not to insult your intelligence, but I assume you've checked the physical connections? (Cords aren't halfway unplugged, vid card is seated properly in its socket, etc.)
Now go have that Bud Light.
