Question

assume that a randomly selected subject is given a bone density test. bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. draw a graph and find $p_{8}$, the 8th percentile. this is the bone density score separating the bottom 8% from the top 92%. which graph represents $p_{8}$? choose the correct graph below.

Explanation:

Step1: Recall the definition of percentile

The 8th percentile ($P_8$) is the value such that 8% of the data lies to the left of it in a normal - distribution.

Step2: Analyze the graphs

In a normal - distribution curve, the area to the left of the 8th percentile represents 8% of the total area under the curve. The correct graph will have the shaded area (representing the bottom 8%) to the left of the point $P_8$.

Answer:

A.