SOLUTION: Correction to previous submission: Heights of men on a baseball team have a bell shaped distribution with a mean of 168 cm and a standard deviation of 5 cm. Using the empirical

Question 735169: Correction to previous submission:
Heights of men on a baseball team have a bell shaped distribution with a mean of 168 cm and a standard deviation of 5 cm. Using the empirical rule, what is the approximate percentage of the men between the following values?
a. 153 cm and 183 cm
b. 158 cm and 178 cm
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Heights of men on a baseball team have a bell shaped distribution with a mean of 168 cm and a standard deviation of 5 cm. Using the empirical rule, what is the approximate percentage of the men between the following values?
a. 153 cm and 183 cm
(153-168)/5 = -3
(183-168)/5 = 3
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Using Chybyshev, at least (1-(1/3)^2) = 0.8888.. = 89% of the data
lies between 153 and 183
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b. 158 cm and 178 cm
(158-168)/5 = -2
(178-168)/5 = +2
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Using Chybyshev, at leas (1-(1/2)^2) = 0.75 = 75% of the data
lies between 158 and 178
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Cheers,
Stan H.
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