Well, to calculate the percentage of women between 58.5 inches and 72.5 inches, we need to find the area under the normal distribution curve within that range.
First, let's find the z-scores for both values:
For 58.5 inches: (58.5 - 62) / 3.5 ≈ -0.8571
For 72.5 inches: (72.5 - 62) / 3.5 ≈ 2.9286
Now, we can use a Z-table or a calculator to find the area under the normal curve between these z-scores.
Using the Z-table, we find that the area for -0.8571 is approximately 0.1967, and the area for 2.9286 is approximately 0.9981.
To find the percentage between 58.5 and 72.5 inches, we subtract the area for -0.8571 from the area for 2.9286:
0.9981 - 0.1967 = 0.8014
So, approximately 80.14% of college women are between 58.5 inches and 72.5 inches.
Therefore, none of the answer choices provided (34.1%, 84.0%, 15.7%, 13.6%, or 97.6%) is correct.