Question

Men's heights are normally distributed with mean 69.3 in. and standard deviation 2.94 in. Women's heights are normally distributed with mean 63.8 in. and standard deviation 2.8 in.

The U.S. Navy requires that fighter pilots have heights between 62 in. and 78 in.

a. Find the percentage of women meeting the height requirement. What percentage of woman are not qualified because they are too short or too tall?

b. Find the percentage of men meeting the height requirement. What percentage of men are not qualified because they are too short or too tall?

Answer 1

	Men	Women
Mean(µ)	69.3	63.8
Standard deviation(σ)	2.94	2.8

The U.S. Navy requires that fighter pilots have heights between 62 in. and 78 in.

a)

We will use Ti83/84

In Ti83/84

Press 2ND...VARS...normalcdf

Enter values as

Result is :

Therefore 73.98% woman are meeting the height requirement.

So 100-73.98= 26.02 % of woman are not qualified because they are too short or too tall

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b)

In Ti83/84

Press 2ND...VARS...normalcdf

Enter values as

result is :

Therefore 99.19% men are meeting the height requirement.

So 100-99.19= 0.81 % of men are not qualified because they are too short or too tall