I think Jim Wynn and Steve Prevette have both made very cogent points.
Most folks know I am a confirmed Demingite, so, of course, I sign on to Red Beads, BUT I think the BEST audience for the Red Beads will be top managers AND new quality manager at this organization.
The types of NC (nonconformances) (A lot of avoidable NCR's from in process inspections and first articles and our shipping department has been getting alot heat from not putting all the required parts in boxes/containers when shipping out.) seems to beg for an intensive error-proofing program, not a mere signature on paper.
[In my mind, there is a decided difference between the NC and the actual NCR (nonconformance report) because the NCR should contain the results of the root cause investigation and the suggestions for Corrective Action (CA), as well as the follow-up evaluation as to whether the CA was effective in preventing future occurrences.]
Obviously, OP has not disclosed the organization or the nature of the business, but my experience and that of many professional consultants is that these kinds of problems stem from an inadequate root cause investigation, stopping at the damning phrase "operator error" without investigation into the conditions and into the circumstances which allowed the operator to make the error in the first place.
I and many of my consultant colleagues have collected obscene amounts of fees from organizations simply because top bosses would rather hear from "the expert from afar" than give credence to the lowly worker on the line who is afraid (Deming said, "Remove fear.") to speak up and say, "There's a problem with the process, not the worker."