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 probability of a bone density test score greater than 0.68. sketch the region. choose the correct graph below. o a. 0.68 o b. 0.68 o c. -0.68 o d. -0.68 0.68

Explanation:

Step1: Understand the normal distribution property

In a standard normal distribution (mean = 0, standard deviation = 1), when we want to find the probability of a value greater than \(x = 0.68\), the region is to the right of \(z=0.68\) on the standard - normal curve.

Step2: Analyze each option

• Option A: The shaded region is to the right of \(z = 0.68\), which is the region for \(P(Z>0.68)\).
• Option B: The shaded region is to the left of \(z = 0.68\), which is \(P(Z < 0.68)\).
• Option C: The value on the axis is \(- 0.68\) instead of \(0.68\).
• Option D: There are two \(z\) - values (\(-0.68\) and \(0.68\)) which is not relevant for \(P(Z>0.68)\).

Answer:

A.