A survey found that women’s heights are normally distributed
with mean 62.3 in. and standard deviation 2.8 in. The survey also
found that men’s heights are normally distributed with a mean 67.2
in. and standard deviation 2.7 Complete parts a through c below. a.
Most of the live characters at an amusement park have height
requirements with a minimum of 4 ft 88 in. and a maximum of 6 ft 22
in. Find the percentage of women meeting the height requirement.
The percentage of women who meet the height requirement is …..
(Round to two decimal places as needed.) b. Find the percentage of
men meeting the height requirement. The percentage of men who meet
the height requirement is …. (Round to two decimal places as
needed.) c. If the height requirements are changed to exclude only
the tallest 5% of men and the shortest 5% of women, what are the
new height requirements? The new height requirements are at least
…… in. and at most ……. in. (Round to one decimal place as
needed.)
