Question 1 · Medium
An EQA sample has an assigned sodium value of 141 mmol/L and an SD for proficiency assessment of 2.0 mmol/L. The laboratory reports 146 mmol/L. The scheme scores |z| ≤ 2 as satisfactory, 2 to 3 as questionable and ≥ 3 as unsatisfactory. How is the result scored?
- Az = +1.25, satisfactory
- Bz = +2.5, questionable
- Cz = -2.5, questionable
- Dz = +5.0, unsatisfactory
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Answer: B · z = +2.5, questionable
z = (laboratory result - assigned value) / SD for proficiency assessment = (146 - 141) / 2.0 = +2.5. A z-score between 2 and 3 is a warning signal in ISO 13528 scoring: not a failure, but it should be reviewed, especially if it recurs. The positive sign shows that the laboratory reads high. A z-score of 3 or more is an action signal that needs a documented investigation.
- A: 1.25 divides the difference by 2 SD (4.0) instead of 1 SD.
- C: The sign is reversed; a result above the assigned value gives a positive z.
- D: 5.0 is the difference in mmol/L, not divided by the SD.