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Hand Lengths of Women in the US Air Force

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Women in the U.S. Air Force have hands that are 6.9 inches on the average (from the tip of the middle finger to the heel of the hand). The standard deviation is 0.34 inches. Assume that hand length is normally distributed. (10 points)

a. What proportion has hands longer than 7 inches?
b. What proportion would have hands shorter than 6 inches?
c. What proportion would have hands 6.5 to 7.2 inches long?
d. Of 3000 personnel, how many would have hands longer than 7.5 inches (the mean for male Air Force personnel)?
e. How long would a woman's hand have to be to put her among the 10% with the longest hands?

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The expert determines the hand lengths of women`s in the United States Air Force. Detailed and Step-by-step solutions to all parts of the question.

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M = 6.9, SD = 0.34
(a) z = (x - M)/SD = (7 - 6.9)/0.34 = 0.294
P(x > 7) = Area under the Standard Normal Curve to the right of z = 0.294, which is 0.384
(b) z = (x ...

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