In a certain? city, the average? 20- to? 29-year old man is 69.8 inches? tall, w
ID: 2907139 • Letter: I
Question
In a certain? city, the average? 20- to? 29-year old man is 69.8 inches? tall, with a standard deviation of 3.1 ?inches, 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-inch woman? Select the correct choice below and fill in the answer boxes to complete your choice. ?(Round to two decimal places as? needed.)
Explanation / Answer
z-score for 75 inche's man
mu= 69.8
sigma= 3.1
X= 75
Z=(X-mu)/sigma
1.67741
Z-score for 70 inche's woman
mu= 64.1
sigma= 3.8
X= 70
Z=(X-mu)/sigma
1.5526
as z-score for man > z-score for woman
1.68 >1.55
so man is relatively taller.
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