Question

Heights of men on a baseball team have a bell-shaped distribution with a mean of 175...

Heights of men on a baseball team have a bell-shaped distribution with a mean of 175 cm and a standard deviation of 7cm. Using the empirical rule, what is the approximate percentage of the men between the following values?
a. 168 cm and 182 cm
b. 154 cm and 196 cm

a. _% of them men are between 168 cm and 182 cm (Round to one decimal place as needed)

b. _% of the men are between 154 cm and 296 cm. (Round to one decimal place as needed.)

Homework Answers

Answer #1

we have = 175 and = 7

(A) we have to find the percentage of mean between 168cm and 182 cm

using the formula

setting the values, x1 = 168, x2 = 182 and = 175 and = 7

we get


this gives

0.6826 or 0.6826*100 = 68.3

so, Required percentage is 68.3%

(B) we have to find the percentage of mean between 154cm and 296 cm

using the formula

setting the values, x1 = 154, x2 = 296 and = 175 and = 7

we get


this gives

this gives 0.9987 or 0.999*100 = 99.9%

so, Required percentage is 99.9%

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