Question

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

63.5

in. and standard deviation

2.9

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

68.4

in. and standard deviation

2.9

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 9 in. and a maximum of 6 ft 4 in. Find the percentage of women meeting the height requirement.

b. Find the percentage of men meeting the height requirement.

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?

Answer 1

	63.5	2.9
	68.4	2.9

The percentage of women meeting the height requirement is

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The percentage of men meeting the height requirement is

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From Z-table, lookup for z-value corresponding to area 0.05 to the right of the normal curve.

From Z-table, lookup for z-value corresponding to area 0.05 to the left of the normal curve.