SOLUTION: Heights of men on a baseball team have a​ bell-shaped distribution with a mean of 172 cm and a standard deviation of 6 cm. Using the empirical​ rule, what is the approximate pe

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Question 1160934: Heights of men on a baseball team have a​ bell-shaped distribution with a mean of 172 cm and a standard deviation of 6 cm. Using the empirical​ rule, what is the approximate percentage of the men between the following​ values?
a. 154 cm and 190 cm
b. 160 cm and 184 cm
Answer by ikleyn(52781) About Me  (Show Source):
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Heights of men on a baseball team have a​ bell-shaped distribution with a mean of 172 cm
and a standard deviation of 6 cm. Using the empirical​ rule, what is the approximate percentage
of the men between the following​ values?
a. 154 cm and 190 cm
b. 160 cm and 184 cm
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(a)  Interval [154,190] is three standard deviations from the mean.

     So, the empirical rule for 3 standard deviations is applicable in this case,

     giving the ANSWER that the height of approximately 99.7% of the men is in this interval.



(b)  Interval [160,184] is two standard deviations from the mean.

     So, the empirical rule for 2 standard deviations is applicable in this case,

     giving the ANSWER that the height of approximately 95% of the men is in this interval.