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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