In general, no. CMCs are usually calculated based on optimistic (but realistic) estimates of the uncertainty contributors. Unless the conditions of an actual calibration match the assumptions used to estimate the CMC, the calibration uncertainty will generally be larger than the CMC.
The uncertainty of reported measurements has to be stated as the actual uncertainty of the measurement, not as the accredited CMC unless that CMC actually applies. An indiscriminate use of the CMC as the uncertainty of an actual calibration is not justified.
On the other hand, some calibration labs will calculate CMCs based on the worst conditions that they’re likely to see. In these cases, the CMC on the scope of accreditation will be large enough to cover all of those conditions. This is why some labs quote their accredited CMCs for most of their work. Although this method is acceptable, it has the disadvantage that it doesn’t allow the lab to quote a smaller uncertainty if a calibration is performed under conditions better than were assumed for the scope of accreditation.
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