SOLUTION: I need help solving the following question with a calculator and how to type it in
The heights of adult men in America are normally distributed, with a mean of 69.2 inches and
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The heights of adult men in America are normally distributed, with a mean of 69.2 inches and
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Question 1136480: I need help solving the following question with a calculator and how to type it in
The heights of adult men in America are normally distributed, with a mean of 69.2 inches and a standard deviation of 2.68 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.4 inches and a standard deviation of 2.59 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?
z =
b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?
z =
c) Who is relatively taller? Answer by Theo(13342) (Show Source):
the mean for the women is 64.4 and the standard deviation is 2.59.
a man is 6 foot 3 = 75 inches.
the z-score for the man is z = (75 - 69.2) / 2.68 = 2.164179104.
a woman is 5 foot 11 = 71 inches.
the z-score for the woman is z = (71 - 64.4) / 2.59 = 2.548262548.
relative to their respective populations, the woman is taller than the man.
if you look up their z-scores to find the area to the left of each, the man's z-score is greater than 98.47747514% of the male population and the woman's z-score is greater than 99.45869278% of the female population.
