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Quality of engineering conclusions

A cross-disciplinary workshop: justify a calculation, distinguish evidence from assumptions and formulate a bounded conclusion.

All numbers and situations below are fictional. These learning exercises supply no operational settings or regulatory thresholds.

1 / 5

Units and order of magnitude

A fictional flow is 18 m³/h. For 40 minutes, first convert time to 40/60 h. The volume is 12 m³. Multiplying by 40 without converting gives 720 with the wrong dimensions. Write the units of every factor before evaluating the number.

Check understanding

Independently calculate 0.3 m³/min over 40 minutes. Which result agrees with the first method?

Reveal debrief

12 m³. Both flow descriptions are equivalent. This checks unit conversion, not the measuring instrument independently.

2 / 5

Balance and system boundaries

A fictional unit receives 1200 kg/h and discharges 1150 kg/h. The 50 kg/h difference alone does not prove a leak: the model must explicitly identify accumulation and all counted streams. Assuming accumulation of 50 kg/h closes this balance. This establishes consistency of the stated model, not equipment integrity.

Check understanding

If accumulation is assumed to be zero, what can you say about the difference? What other evidence is needed?

Reveal debrief

A 50 kg/h residual remains. Identify the accounting interval, boundary, every inlet and outlet, comparable measurements and inventory changes. These numbers alone do not establish a cause.

3 / 5

Sensitivity without false precision

Take the fictional model y = a × b, with a = 100 and b = 0.25, so y = 25. Changing only a by +2% produces 25.5. Changing only b by −4% produces 24. Changing both produces 102 × 0.24 = 24.48. This evaluates specified scenarios; it is not a statistical uncertainty statement.

Check understanding

Why can the range 24–25.5 not automatically be called a confidence interval?

Reveal debrief

No distributions, coverage, joint variability or interpretation of input bounds were supplied. These are individual scenarios and must be labelled accordingly.

4 / 5

Observation, hypothesis and decision

A fictional log states that a reading rose from 8 to 10. This observation lacks units, time, operating state and instrument information. Saying that equipment is faulty introduces a hypothesis. Saying to change a setting introduces an action requiring further evidence and approved authority. Separate these three levels in the written analysis.

Check understanding

Rewrite the entry with unknowns explicit, then propose evidence to examine the hypothesis without prescribing an operational intervention.

Reveal debrief

The stated channel changed from 8 to 10; units, timing, operating state and instrument status are unknown. Request the original record, channel configuration and comparable observations. Neither a cause nor a setting is established by this record.

5 / 5

Reported result and reproducibility

In a fictional calculation, 1250/24 = 52.0833… . Preserve the inputs and method, but do not present every calculator digit as measurement accuracy. An educational record may state 52.1 with the rounding explained; justified precision needs information about the inputs. Another learner should be able to reconstruct the result without guessing.

Check understanding

Which fields should your calculation sheet contain so that another learner can reproduce the result?

Reveal debrief

Problem; quantity definitions; input values and units; data provenance; formula; assumptions; intermediate conversions; unrounded result; rounding rule; and limits of the conclusion.

Final assignment

Choose a task from your course. Prepare a calculation sheet, add one changed input, one competing hypothesis and a list of missing evidence. End with what is established and what remains unknown. A reviewer should reproduce the calculation from your sheet alone.

Four feedback criteria

  1. Quantities, units and boundaries are explicit.
  2. Arithmetic is reproducible; conversions and rounding are explained.
  3. Sensitivity is distinguished from statistical uncertainty.
  4. Conclusions stay within the evidence; unknowns and further evidence are listed.

If a criterion is unmet, revisit the relevant example and revise the sheet. These editorial criteria do not constitute certification.

Reference context

NIST TN 1297 explains measurement-uncertainty terminology. An uncertainty statement requires clear quantity definitions and an explanation of its expression. Our exercises and rubrics are original and have not been reviewed by NIST.

NIST TN 1297 · Appendix D1

Reference checked 2026-10-30. Independent domain and translation reviews are pending.