Question

a survey found that womens heights are normally distributed with mean 63.4 in and standard deviation 3.5 in. the survey also found that mens heights are normally distributed with mean 69.7 in and standard deviation 3.6 in. most of the live characters employed at an amusement park have height requirements of a minimum of 56 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 5.66 %. (round to two decimal places as needed.)
since most men dropdown the height requirement, it is likely that most of the characters are dropdown.

Explanation:

Step1: Analyze the given percentage

The percentage of men meeting the height - requirement is 5.66%. Since 5.66% is a very small percentage.

Step2: Make a conclusion about men and the height - requirement

Most men do not meet the height requirement.

Step3: Make a conclusion about the gender of characters

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

Answer:

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