# Manual answer key
Synthetic teaching fixture, not a captured model result.
- The 2 October report compares fully observed July/August cohorts; both have the full 14-day window.
- July completion: 180/240 = 75%.
- August completion: 216/300 = 72%.
- Difference: -3 percentage points; relative rate decline is 4%, if explicitly requested.
- Starts growth: (300-240)/240 = 25%.
- Completions growth: (216-180)/180 = 20%.
- Helpful checklist: 28/40 = 70% of survey respondents, not all customers.
- Checklist causality: unestablished. No controlled comparison.
- Follow-up: proposed; not approved; owner and target absent.
- Required render inspection: all slides in target presentation app, charts, notes, axes, sources, clipping.