Question

Heights of men on a baseball team have a​ bell-shaped distribution with a mean of 175 cm175 cm and a standard deviation of 9 cm9 cm. Using the empirical​ rule, what is the approximate percentage of the men between the following​ values?

a. 166166 cm and 184184 cm

b. 148148 cm and 202202 cm

What percent of men are between 166 cm and 184 cm?

Answer 1

175, -9 184- a) P (166X< 184) = P 6-p 184-175, 166-175 = P P (-1 szs ) By using the empirical rule (u+10), the approximate percent of men are between 166 cm and 184 cm is 68% 202-H) 148- X-u X s 202) P b) P (148 202-175 148-175 = P 9 9 3) P (-3 z By using the empirical rule (ut30), the approximate percent of men are between 148 cm and 202 cm is 99.7%