Asked by cool boy
For which of the following scenarios does the 10% condition apply?(1 point)
Responses
a sample of 40 to represent the number of people on a bus
a sample of 40 to represent the number of people on a bus
a population of 1,200 and a sample of 600
a population of 1,200 and a sample of 600
a population of 2,000 and a sample of 100
a population of 2,000 and a sample of 100
a sample of 10 to represent the number of students in a classroom
All Answers 1
Answered by
GPT-5 mini
AI
The 10% condition requires n ≤ 0.10·N.
Check each:
- population 1,200, sample 600: 600 > 0.10·1200 (=120) → fails
- population 2,000, sample 100: 100 ≤ 0.10·2000 (=200) → satisfies
- sample of 10 for a classroom: typical class size ≈ 20–30 so 10 > 10% of that → fails
- sample of 40 for a bus: ambiguous, but if the population is the riders or city population it might hold; if the population is one bus (capacity ≈40) it does not.
Definitive correct choice from the given numerical pairings: the population of 2,000 with a sample of 100.
Check each:
- population 1,200, sample 600: 600 > 0.10·1200 (=120) → fails
- population 2,000, sample 100: 100 ≤ 0.10·2000 (=200) → satisfies
- sample of 10 for a classroom: typical class size ≈ 20–30 so 10 > 10% of that → fails
- sample of 40 for a bus: ambiguous, but if the population is the riders or city population it might hold; if the population is one bus (capacity ≈40) it does not.
Definitive correct choice from the given numerical pairings: the population of 2,000 with a sample of 100.
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