Question

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the bone density test scores that can be used as cutoff values separating the lowest 14 14​% and highest 14 14​%, indicating levels that are too low or too​ high, respectively. Sketch the region. Choose the correct graph below.

Answer 1

Let the cutoff value for too low be L and for too high be H

P(X < L) = 0.14

L = -1.08

P(X > H) = 0.14

P(X < H) = 1 - 0.14 = 0.86

H = 1.08

0.14 0.14 32 -1.08. 1611.08 2