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math80.sample quiz7

# math80.sample quiz7 - Chebyshev wostner math80 exercises...

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Chebyshev (Чебышёв) wostner : math80 : exercises : chebyshev formula ©2007-2009 ulf wostner <[email protected]> For all the exercises below we assume that we know nothing about the distribution (shape) 1. What fraction of the data falls in μ ±2.00σ ? Answer: At least 0.7500 ≈ 75 % 2. What fraction of the data falls in μ ±3.50σ ? Answer: At least 0.9184 ≈ 92 % 3. A population has μ = 80 and σ = 12. What can you say about the interval 80 ± 20 ? Answer: It contains at least 0.6400 ≈ 64 % of the data. 4. A population has μ = 80 and σ = 12. What can you say about the interval 62 ≤ x ≤ 98 ? Answer: It contains at least 0.5556 ≈ 56 % of the data. 5. A population has μ = 100 and σ = 30. What can you say about the interval 20 ≤ x ≤ 180 ?
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