The table below presents operating and compliance metrics for seven municipal water treatment plants during 2025:
| Plant Name | Daily Capacity (MGD) | Operating Cost ($/MG) | Compliance Rate (%) | Energy Consumption (kWh/MG) | Staff Count |
|---|---|---|---|---|---|
| Clearwater Station | 45 | 320 | 98.4% | 1,450 | 28 |
| Blue River Plant | 80 | 280 | 99.1% | 1,200 | 42 |
| Oak Valley Works | 30 | 410 | 97.8% | 1,680 | 22 |
| Pine Creek Facility | 110 | 250 | 99.5% | 1,150 | 50 |
| Cedar Ridge Station | 60 | 340 | 98.9% | 1,380 | 35 |
| Ironwood Treatment | 25 | 450 | 96.5% | 1,750 | 18 |
| Laurel Heights | 70 | 310 | 98.7% | 1,300 | 31 |
Match each statement on the left with its correct boolean evaluation outcome and quantitative justification on the right.
- Statement I: The plant with the median Staff Count has an Operating Cost greater than the mean Operating Cost of all seven plants.Evaluates to FALSE because the median staff plant (Laurel Heights) has an Operating Cost of 337.14 per MG.
- Statement II: For plants with a Compliance Rate above 98.5%, the ratio of total Daily Capacity to total Staff Count exceeds 2.0 MGD per staff member.Evaluates to TRUE because the total capacity of the four qualifying plants (320 MGD) divided by their total staff (158) yields approximately 2.03 MGD per staff member.
- Statement III: When sorted in ascending order by Energy Consumption, the plant with the third-lowest energy usage has a higher Daily Capacity than the plant with the lowest Operating Cost.Evaluates to FALSE because the plant with the third-lowest energy consumption (Laurel Heights) has a capacity of 70 MGD, which is less than the 110 MGD capacity of the plant with the lowest operating cost (Pine Creek Facility).
Cevap
Statement I matches with the outcome stating it evaluates to FALSE ( 337.14); Statement II matches with the outcome stating it evaluates to TRUE (2.03 > 2.0); Statement III matches with the outcome stating it evaluates to FALSE (70 MGD < 110 MGD).
Each statement matches its exact evaluation outcome based on standard tabular data calculations: Statement I evaluates to False because 337.14 per MG mean; Statement II evaluates to True because 320 divided by 158 equals approximately 2.03, which is greater than 2.0; Statement III evaluates to False because a capacity of 70 MGD is less than 110 MGD.
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Anahtar Kavram
Multi-Statement Boolean Evaluation using tabular sorting, descriptive statistics, conditional filtering, and cross-column ratios.
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