The Library Noise Complaint
A suburban library receives complaints that its 'quiet study' area is too noisy. The manager gathers data: the area has 24 desks; average occupancy is 19 desks on weekday afternoons. A staff count over one week logged 14 noise complaints, all between 3pm and 5pm. During those hours, a nearby school releases students, and 11 of the 14 complaints mention groups of teenagers. The library also runs a free homework club in the same area from 3:30pm to 4:30pm, which attracts about 15 students. Staff note that the homework club was introduced six months ago, and complaint numbers have risen since then. The manager proposes relocating the homework club to a separate room, but that room seats only 12.
1. Assess the strength of the evidence linking the homework club to the complaints.
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The evidence is suggestive but not conclusive.
Supporting: complaints cluster in the 3–5pm window; the homework club runs 3:30–4:30pm within that window; 11 of 14 complaints mention teenagers; complaints rose after the club began six months ago.
Limiting: the school release at 3pm also brings teenagers into the area independently of the club, so the club is not the only possible source. The data covers only one week and 14 complaints - a small sample. There is no baseline complaint count from before the club started, only a staff impression that numbers 'have risen'. Correlation with the club's start does not prove the club causes the noise; the school release timing is a confound.
A careful conclusion: the club is a plausible contributor but the evidence cannot separate it from general after-school foot traffic. More data (complaint logs by exact time, before/after comparison) would be needed.
2. Evaluate the relocation proposal given the room capacity.
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The homework club attracts about 15 students, but the alternative room seats 12. Relocating would either exclude 3 students or require splitting the club - undermining its purpose and possibly creating a new complaint source (students turned away).
So relocation is a partial fix: it removes the club from the quiet area but does not fully accommodate demand. Alternatives worth weighing: keep the club but move it to a non-quiet zone within the main library; stagger the club to 4–5pm after peak school traffic; or use the 12-seat room and cap attendance with a waiting list.
The judgement: a solution that ignores the capacity mismatch (15 vs 12) is not defensible without acknowledging the trade-off. The best answer states the mismatch explicitly and proposes a mitigation.