Assuming that the heights of college women are normally distributed with mean 67 inches and standard deviation 3 inches, what percentage of women are taller than 58 inches?
A)0.1%
B)99.9%
C)2.3%
D)84.1%
E)15.9%

Question

Quizplus · Accepted Answer

Given the mean (μ) = 67 inches and standard deviation (σ) = 3 inches, we can calculate the z-score for a height of 58 inches using the formula z = (X - μ) / σ, where X is the value in question. Plugging in the numbers, z = (58 - 67) / 3 = -3. This z-score corresponds to a very small left tail probability, indicating that almost all of the distribution (99.9%) is to the right of 58 inches, meaning 99.9% of college women are taller than 58 inches.

Assuming That the Heights of College Women Are Normally Distributed