The table below presents 2025 operational and patient triage metrics for seven regional emergency departments:
| Hospital Name | Annual Patient Volume (thousands) | Median Wait Time (min) | Mean Treatment Duration (hrs) | Left Without Being Seen (LWBS) Rate | 30-Day Readmission Rate |
|---|---|---|---|---|---|
| St. Jude Regional | 48 | 24 | 3.5 | 1.8% | 4.2% |
| Metro Central | 85 | 42 | 4.8 | 3.5% | 5.8% |
| Valley General | 62 | 30 | 4.0 | 2.4% | 4.5% |
| Highland Medical | 35 | 18 | 3.2 | 1.2% | 3.8% |
| Pinecrest Community | 28 | 15 | 2.8 | 0.9% | 3.5% |
| University Health | 92 | 48 | 5.2 | 4.1% | 6.2% |
| Riverside Care | 54 | 28 | 3.8 | 2.1% | 4.9% |
Evaluate whether the following statement is True or False:
"For every hospital with an annual patient volume exceeding 50,000, the ratio of Median Wait Time (in minutes) to Mean Treatment Duration (in hours) is strictly greater than 7.0."
Answer: Answer
Answer
True. All four hospitals with annual patient volume exceeding 50,000 have a wait-to-treatment duration ratio greater than 7.0.
Filtering the table for hospitals with annual patient volume exceeding 50 thousand isolates Metro Central, Valley General, University Health, and Riverside Care. Calculating the ratio of median wait time (minutes) to mean treatment duration (hours) yields 8.75, 7.50, 9.23, and 7.37 respectively. Because every single one of these values exceeds 7.0, the statement is True.
Step-by-Step Solution
Key Concept
Multi-Statement Boolean Evaluation via Conditional Data Filtering and Ratio Analysis