SOLUTION: The normal distribution for women's height has a mean of 65 inches and a standard deviation of 3.5 inches. The normal distribution for men's height has a mean of 70 inches and a

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Question 1098242: The normal distribution for women's height has a mean of 65 inches and a standard
deviation of 3.5 inches. The normal distribution for men's height has a mean of 70 inches and a standard deviation of 4.0 inches. A man's height of 75 inches and a woman's height of 70 inches are both 5 inches above their means. Which is relatively taller? Explain why. Also, provide the percentiles for each of those heights
I am really struggling with this problem. If anyone can help me and explain what they did, it would help me greatly!
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Compare z-scores
man 75 inches has a z=(75-70)/4=+1.25. This is the 89th percentile from calculator.
a woman 70 inches has a z=(70-65)/3.5=+1.43 This is the 92nd percentile. The woman is relatively taller because of the smaller standard deviation.