Cyberduck, that's typical flicker from a florescent tube. We can't really detect the flicker with our naked eyes but it is there. Solution is to shoot at a lower shutter speed. Nothing wrong with your camera.
tsammyc, there's plenty of variation when one mentions tungsten lighting, so don't automatically assume the camera didn't get it right. Plenty of light bulbs vary in terms of the color temperature they put out. In reality, very few incandescent lighting come close to the rated color temperature, which does affect the color output coming from the camera. In such situations, it is best to shoot in RAW and adjust the color during post processing.