Question

A survey found that​ women's heights are normally distributed with mean 62.6in. and standard deviation 3.3 in. The survey also found that​ men's heights are normally distributed with mean 67.4 in. and standard deviation 3.1 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56in. 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 ___

(Round to two decimal places if needed)

b. If the height requirement 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.

(Round to two decimal places if needed)

Answer 1