Q:

Height of men on a baseball team have a bell-shaped distribution with a mean of 180 cm and a standard deviation of 8 cm. using the empirical rule, what ist he approximate percentage of the men between the following values? a. 156 cm and 204 cm b. 172 cm and 188 cm Answer: ____% of men are between 156 cm and 204 cm ____% of men are between 172 cm and 188 cm

Accepted Solution

A:
Answer:a. 99.7%b. 68%Step-by-step explanation:The empirical rule for approximately symmetrical and bell-shaped distributions states that:68% of the data are among the values  (means - sd) and (means + sd)95% of the data are among the values  (means - 2*sd) and (means + 2*sd)99.7% of the data are among the values (means - 3*sd) and (means + 3*sd). So that,68% of the data are among the values  (180 - 8) = 172 and (180 + 8) = 18895% of the data are among the values  (180 - 16) = 164 and (180 + 16) = 19699.7% of the data are among the values (180 - 24) = 156 and (180 + 24) = 204