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In a certain city, the average 20- to 29-year old man is 69.6 inches tall, with

ID: 3160642 • Letter: I

Question

In a certain city, the average 20- to 29-year old man is 69.6 inches tall, with a standard deviation of 3.2 inches, while the average 20- to 29-year old woman is 64.1 inches tall, with a standard deviation of 3.9 inches. Who is relatively taller, a 75-inch man or a 70-inch woman? Who is relatively taller, a 75-inch man or a 70-inch woman? The z-score for the woman is smaller, so she is relatively taller. The z-score for the man is smaller, so he is relatively taller. The z-score for the man is larger, so he is relatively taller. The z-score for the woman is larger, so she is relatively taller.

Explanation / Answer

The option C is correct since the z-score for the man is 1.6875 and for the women is 1.5128.