Assuming that the heights of college women are normally distributed with mean 63 inches and standard deviation 1.5 inches, what percentage of women are between 58.5 inches and 64.5 inches?
A)49.9%
B)84.0%
C)2.1%
D)13.6%
E)81.9%

Question

Quizplus · Accepted Answer

We need to find the area under the normal curve between 58.5 and 64.5 inches. Using the standard normal distribution, we can find the z-scores associated with these values:

z1 = (58.5 - 63) / 1.5 = -3
z2 = (64.5 - 63) /1.5 = 1

Using a standard normal table or calculator, we can determine that the area between -3 and 1 is approximately 0.840. This corresponds to 84% of the women being between 58.5 inches and 64.5 inches. Therefore, the answer is B) 84.0%.

Assuming That the Heights of College Women Are Normally Distributed