Thank you @dwperron !
Yes the shift leader verifies the torque for the preset wrenches with the torque tester. We have multiple wrenches in use and all of them are verified everyday. However like I said, we did not have the tolerance set up. The torque tester is within the calibration and the frequency is yearly.
We have 3-4 assembly operators (users) using these wrenches. Like you said +/-3.2 in-lb looks very difficult for us based on the historical data.
I would be very concerned about your verification results. It would be highly unusual to have multiple tools that are repeatedly found out of tolerance in both high and low directions, especially when they are being set prior to use.
It sure looks to me like you might have a training issue here. If multiple technicians using multiple tools are getting bad results I would suspect they may not be operating them correctly.