AF is never precise, if for no other reason than the limited precision with which the AF motor can move the lens. There will always be some plus and minus around the optimal focus. The best that can be achieved is that the average result coincides with the optimum, and the range is not excessive. To assess this, you'll need more than a single test. Do 10 or 20 at least, with the lens starting from focal positions both ahead and behind that of the target. Then you can be in a better position to gauge the mean and variance, and then it may be clear if the lens (or camera, or both) are out of specification or not. If so, get them serviced, if not, it's over to you; it may be in spec., but still unsatisfactory from your viewpoint, and it may or may not be feasible to have the lens corrected further.
Edit - Apologies to grammarians - sorry about the mixed noun number in this - singular/plural etc.