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 - 1.62.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

7.c

### Educational Content on Bone Density Tests

#### Understanding Bone Density Test Scores

Assume that a randomly selected subject is given a bone density test. These test scores are normally distributed with a mean of 0 and a standard deviation of 1. 

**Objective:**  
Draw a graph and find the probability of a bone density test score greater than -1.62.

#### Task

**Sketch the Region: Choose the Correct Graph Below**

- **Graph A:** Represents a normal distribution with the left tail shaded, indicating scores less than -1.62.
  
- **Graph B:** Displays a normal distribution with the right tail shaded, showing scores greater than 1.62.
  
- **Graph C:** Illustrates a normal distribution with the central region shaded between -1.62 and 1.62.
  
- **Graph D:** Highlights the right tail shaded, depicting scores greater than -1.62.

#### Calculation

**Find the Probability**

- The probability area is shown in Graph D, which represents scores greater than -1.62.

**Note:** Round the probability to four decimal places as needed.

### Conclusion

Understanding the normal distribution and identifying the correct graphical representation allows us to calculate the probability of specific outcomes, such as obtaining a bone density test score greater than a given value.
Transcribed Image Text:### Educational Content on Bone Density Tests #### Understanding Bone Density Test Scores Assume that a randomly selected subject is given a bone density test. These test scores are normally distributed with a mean of 0 and a standard deviation of 1. **Objective:** Draw a graph and find the probability of a bone density test score greater than -1.62. #### Task **Sketch the Region: Choose the Correct Graph Below** - **Graph A:** Represents a normal distribution with the left tail shaded, indicating scores less than -1.62. - **Graph B:** Displays a normal distribution with the right tail shaded, showing scores greater than 1.62. - **Graph C:** Illustrates a normal distribution with the central region shaded between -1.62 and 1.62. - **Graph D:** Highlights the right tail shaded, depicting scores greater than -1.62. #### Calculation **Find the Probability** - The probability area is shown in Graph D, which represents scores greater than -1.62. **Note:** Round the probability to four decimal places as needed. ### Conclusion Understanding the normal distribution and identifying the correct graphical representation allows us to calculate the probability of specific outcomes, such as obtaining a bone density test score greater than a given value.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman