SOLUTION: The height of an adult male is known to be normally distributed with a mean of 175 cm and a standard deviation of 6 cm. What must the height of a doorway be, such that 99 percent o

Question 785450: The height of an adult male is known to be normally distributed with a mean of 175 cm and a standard deviation of 6 cm. What must the height of a doorway be, such that 99 percent of adult males can pass through it without having to bend?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The height of an adult male is known to be normally distributed with a mean of 175 cm and a standard deviation of 6 cm. What must the height of a doorway be, such that 99 percent of adult males can pass through it without having to bend?
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Find the z-value with a left tail of 99%.
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invNorm(0.99) = 2.3263
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Find the corresponding "x" value::
x = z*s + u
x = 2.3263*6 +175
x = 188.96 cm
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Cheers,
Stan H.
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