Make sure you have turned off all in camera sharpening and put the cam on a tripod. Use something with text like a newspaper page or even a test chart (you can download & print them). Shooting at f/2.8 will probably not give as much sharpness as f/8.
Remember that sharpness is not the only consideration - there is falloff, distortion and bokeh quality to consider. I'd imagine that a zoom will be less sharp at the ends of the focal length range than the middle as well.