Question

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

62.1

in. and standard deviation

3.1 in. The survey also found that​ men's heights are normally distributed with mean 69.6 in. and standard deviation 3.7

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

56 in. and a maximum of

63in. 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

nothing​%.

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

Since most men

▼

meet

do not meet

the height​ requirement, it is likely that most of the characters are

▼

women.

men.

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 nothing in. and a maximum of nothing in.

Answer 1

(a)

Ans : 3.74 %

(b)  

Since most men

▼

do not meet

the height​ requirement, it is likely that most of the characters are

▼

women.

(c)

New height requirements : 63.53 and 69.6