SOLUTION: I. Use Chebyshev’s theorem to find what percent of the values will fall between 249 and 333 for a data set with a mean of 291 and standard deviation of 14.
II. Use t
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Question 664027: I. Use Chebyshev’s theorem to find what percent of the values will fall between 249 and 333 for a data set with a mean of 291 and standard deviation of 14.
II. Use the Empirical Rule to find what two values 99.7% of the data will fall between for a data set with a mean of 219 and standard deviation of 20
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I. Use Chebyshev’s theorem to find what percent of the values will fall between 249 and 333 for a data set with a mean of 291 and standard deviation of 14.
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(249-291)/14 = -3
(333-291)/14 = +3
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The percent is at least 1-(1/3)^2 = 8/9 = 0.89 = 89% of the data.
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II. Use the Empirical Rule to find what two values 99.7% of the data will fall between for a data set with a mean of 219 and standard deviation of 20
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Solve 1 - (1/k)^2 = 0.997
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= (1/k)^2 = 0.003
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k^2 = 1/0.003
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k^2 = 333.33
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k = 18 +
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lower limit: 219-18*20 = -141
upper limit: 219+18*20 = 579
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Cheers,
Stan H.
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