In a certain city, the average 20- to 29-year old man is 72 5 inches tall, with

Question

In a certain city, the average 20- to 29-year old man is 72 5 inches tall, with a standard deviation of 3.0 inches, while the average 20- to 29-year old woman is 64 5 inches tall, with a standard deviation of 3 8 inches Who is relatively taller, a 75-inch man or a 70-inch woman? Who is relatively taller, a 75-mch man or a 70-inch woman? A. The z-score for the woman is larger, so she is relatively taller B. The z-score for the woman is smaller, so she is relatively taller C. The z-score for the man is smaller, so he is relatively taller D. The z-score for the man is larger, so he is relatively taller.

Explanation / Answer

For a man, mean is 72.5 and sd is 3

for a 75 inch man, z will be (75-72.5)/3=0.8333

For woman, mean in 64.5 and sd is 3.8

for a 70 inch woman, the z is (70-64.5)/3.8=1.44

Thus correct answer is A,

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---