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In a certain​ city, the average​ 20- to​ 29-year-old man is 69.4 inches​ tall, with a standard deviation of 3.2 inches, while the average​ 20- to​ 29-year-old woman is 64.5 inches​ tall, with a standard deviation of 3.9 inches. Who is relatively​ taller, a​ 75-inch man or a​ 70-inch woman?

Find the corresponding​ z-scores. Who is relatively​ taller, a​ 75-inch man or a​ 70-inch woman? Select the correct choice below and fill in the answer boxes to complete your choice.

A. The​ z-score for the man,__, is larger than the​ z-score for the woman​,__, so he is relatively taller.
B. The​ z-score for the man,__, is smaller than the​ z-score for the woman​,__, so he is relatively taller.
C. The​ z-score for the woman,__, is larger than the​ z-score for the man​,__, so she is relatively taller.
D. The​ z-score for the woman,__, is smaller than the​ z-score for the man​,__, so he is relatively taller.


Sagot :

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