Question

A survey found that​ women's heights are normally distributed with mean

62.7

in. and standard deviation

3.3

in. The survey also found that​ men's heights are normally distributed with mean

68.2

in. and standard deviation

3.3

in. Most of the live characters employed at an amusement park have height requirements of a minimum of

55

in. and a maximum of

64

in. Complete parts​ (a) and​ (b) below.

a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement​ park?

The percentage of men who meet the height requirement is

10.15

​(Round to two decimal places as​ needed.)

Since most men do not meet the height​ requirement, it is likely that most of the characters are women.

b. If the height requirements are changed to exclude only the tallest​ 50% of men and the shortest​ 5% of​ men, what are the new height​ requirements?

The new height requirements are a minimum of ___in. and a maximum of ___in.

Answer 1