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Heights of American adult males and females ages 20-49 are approximately normally distributed. Male heights have a mean of 69.3 inches and a standard deviation

Heights of American adult males and females ages 20-49 are approximately normally distributed. Male heights have a mean of 69.3 inches and a standard deviation of 2.92 inches. Female heights have a mean of 64.1 inches and a standard deviation of 2.75 inches.

b. An architect needs to make sure that 90% of men can fit through a door without bending. What should be the height of the door?

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