Questions: 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. (Round to two decimal places as needed.) 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 smaller than the z-score for the man so she is relatively taller. D. The z-score for the woman, , is larger than the z-score for the man, so she is relatively taller.

Transcript text: 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. (Round to two decimal places as needed.) A. The $z$-score for the man, $\square$ , is larger than the z -score for the woman, $\square$ so heis relatively taller. B. The z-score for the man, $\square$ , is smaller than the $z$-score for the wontin, $\square$ so heis relatively taller. C. The $z$-score for the woman, $\square$ , is smaller than the $z$-score for the man $\square$ so sheis relatively taller. D. The $z$-score for the woman, $\square$ , is larger than the $z$-score for the man, $\square$ so sheis relatively taller.