Heights of men on a baseball team have a bellshaped distribu

Heights of men on a baseball team have a bell-shaped distribution with a mean of 167 cm and a standard deviation of 6 cm. Using the empirical rule, what is the approximate percentage of the men between the following values?149 cm and 185 cm 155 cm and 179 cm % of the men are between 149 cm and 185 cm. % of the men are between 155 cm and 179 cm.

Solution

a)

Getting the number of standard deviations from the mean,

z = (149 - 167)/6 = -3

Thus, by empirical rule, 99.7% lie within this interval. [ANSWER, 99.7%]

B)

Getting the number of standard deviations from the mean,

z = (155 - 167)/6 = -2

Thus, by empirical rule, 95.45% lie within this interval. [ANSWER, 95.45%]