SOLUTION: Adult male height is normally distributed with a mean of 68.8 inches and a standard deviation of 2.31 inches. What adult male height separates the lower 64% from the upper 36%? Rou

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Question 1145363: Adult male height is normally distributed with a mean of 68.8 inches and a standard deviation of 2.31 inches. What adult male height separates the lower 64% from the upper 36%? Round your final answer to one decimal places.
Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
Go to a z-table and find the value closest to 0.64. The z-score that corresponds to this is 0.36. (NOTE: the z-score of 0.36 has nothing to do with the upper value of 36%. This is just a coincidence.)

%28x+-+68.8%29%2F2.31 = 0.36

Cross-multiply:

x - 68.8 = 0.8316

x = 69.6316

So, the lower 64%/upper 36% point is 69.6 inches.