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In a certain city, the average 20 to 29 year old man is 69 4 inches tall, with a

ID: 3305039 • Letter: I

Question

In a certain city, the average 20 to 29 year old man is 69 4 inches tall, with a standard deviation of 3 0 inch while the average 20 to 29-year old woman is 64.1 inches tall, with a standard deviation of 3.8 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-nch woman? Select the correct choice below and illin the answer boxes to complete your choice (Round to two decimal places as needed.) O A. The z-score for the womanis smaller than the z-score for the man,so she is relatively taller O B. The 2-score for the man, is larger than the z-score for the woman..so he is relatively taller O C. The z-score for the man, is smaller than the z-score for the woman. sohe is relatively taller O D. The z-score for the woman, is larger than the z-score for the man, so she is relatively taller

Explanation / Answer

Z score of old man = (75-69.4)/3= 1.87

Z score of women = (70-64.1)/3.8= 1.55

So, option B is Correct

1.87, 1.55