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14 Oct 2025, 06:50
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Trails with rocky terrain have, on average, higher satisfaction scores than those with forest terrain.: Yes
No gravel trail ranks among the three most-used trails.: Yes
Among the trails with above-average hike times, the one with the lowest satisfaction score is also the least used overall.: No
The table lists data on each of 7 hiking trails managed by a regional park authority. For each trail, the terrain type refers to the primary surface of the trail, the average hike time is the mean (arithmetic mean) number of minutes taken by hikers to complete it, the satisfaction score is the average (arithmetic mean) rating out of 100 reported by visitors, and the usage rank is the trail’s ranking based on total visitors, where a smaller number denotes higher usage.
For each of the following statements about this data, select Yes if the statement can be inferred from the given information. Otherwise, select No.
| Trail | Terrain type | Average hike time (min) | Satisfaction score | Usage rank |
|---|---|---|---|---|
| Aspen Loop | forest | 92 | 83 | 3 |
| Granite Path | rocky | 105 | 91 | 2 |
| Riverwalk | gravel | 88 | 72 | 6 |
| Summit Ridge | rocky | 117 | 95 | 1 |
| Willow Creek | forest | 84 | 79 | 4 |
| Sandy Dunes | sand | 78 | 69 | 7 |
| Canyon Bend | gravel | 95 | 81 | 5 |
| Yes | No | |
| Trails with rocky terrain have, on average, higher satisfaction scores than those with forest terrain. | ||
| No gravel trail ranks among the three most-used trails. | ||
| Among the trails with above-average hike times, the one with the lowest satisfaction score is also the least used overall. |
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Official Answer
Trails with rocky terrain have, on average, higher satisfaction scores than those with forest terrain.: Yes
No gravel trail ranks among the three most-used trails.: Yes
Among the trails with above-average hike times, the one with the lowest satisfaction score is also the least used overall.: No
14 Oct 2025, 06:50
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Official Solution:
• Trails with rocky terrain have, on average, higher satisfaction scores than those with forest terrain.
Rocky trails (Granite Path 91, Summit Ridge 95) average 93.
Forest trails (Aspen Loop 83, Willow Creek 79) average 81.
Since 93 > 81, the average for rocky trails is higher.
Answer: Yes
• No gravel trail ranks among the three most-used trails.
Gravel trails: Riverwalk (rank 6), Canyon Bend (rank 5).
Both ranks are greater than 3, so none are in the top three.
Answer: Yes
• Among the trails with above-average hike times, the one with the lowest satisfaction score is also the least used overall.
Average hike time = (92 + 105 + 88 + 117 + 84 + 78 + 95) / 7 = 94.1.
Trails above average: Granite Path (105, 91), Summit Ridge (117, 95), Canyon Bend (95, 81).
The lowest satisfaction among these is Canyon Bend (81), whose usage rank is 5.
But Sandy Dunes has rank 7 (lower usage overall). Therefore, Canyon Bend is not the least used overall.
Answer: No
Correct answer:
Trails with rocky terrain have, on average, higher satisfaction scores than those with forest terrain. "Yes"
No gravel trail ranks among the three most-used trails. "Yes"
Among the trails with above-average hike times, the one with the lowest satisfaction score is also the least used overall. "No"
Bunuel
• Trails with rocky terrain have, on average, higher satisfaction scores than those with forest terrain.
Rocky trails (Granite Path 91, Summit Ridge 95) average 93.
Forest trails (Aspen Loop 83, Willow Creek 79) average 81.
Since 93 > 81, the average for rocky trails is higher.
Answer: Yes
• No gravel trail ranks among the three most-used trails.
Gravel trails: Riverwalk (rank 6), Canyon Bend (rank 5).
Both ranks are greater than 3, so none are in the top three.
Answer: Yes
• Among the trails with above-average hike times, the one with the lowest satisfaction score is also the least used overall.
Average hike time = (92 + 105 + 88 + 117 + 84 + 78 + 95) / 7 = 94.1.
Trails above average: Granite Path (105, 91), Summit Ridge (117, 95), Canyon Bend (95, 81).
The lowest satisfaction among these is Canyon Bend (81), whose usage rank is 5.
But Sandy Dunes has rank 7 (lower usage overall). Therefore, Canyon Bend is not the least used overall.
Answer: No
Correct answer:
Trails with rocky terrain have, on average, higher satisfaction scores than those with forest terrain. "Yes"
No gravel trail ranks among the three most-used trails. "Yes"
Among the trails with above-average hike times, the one with the lowest satisfaction score is also the least used overall. "No"
30 Nov 2025, 19:10
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The word overall caused a confusion. I thought overall meant among the restricted selected group and not the overall sample
