SOLUTION: Heights of men on a baseball team have a​ bell-shaped distribution with a mean of 172 cm and a standard deviation of 7 cm. Using the empirical​ rule, what is the approx

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Question 1045252: Heights of men on a baseball team have a​ bell-shaped distribution with a mean of 172 cm and a standard deviation of 7 cm. Using the empirical​ rule, what is the approximate percentage of the men between the following​ values?
a. What percentage of the men are between 151 cm and 193 cm?​(Round to one decimal place as​ needed.)
b. What percentage of the men are between 158 cm and 186 cm?
​(Round to one decimal place as​ needed.)

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
a. 151 and 193 are within 3 standard deviations from the mean 172, hence by the empirical rule, 99.7% of the men are between 151 cm and 193 cm.
b. 158 and 186 are within 2 standard deviations from the mean 172, hence by the empirical rule, 95% of the men are between 158 cm and 186 cm.

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