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 -1.82. Sketch the region. Choose the correct graph below. OA. O B. OC. O D. -1.82 1.82 -1.82 1.82 -1.82 The probability is (Round to four decimal places as needed.)

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
icon
Concept explainers
Topic Video
Question
The image presents a statistical problem involving a normal distribution related to bone density test scores:

### Problem Statement:
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. The task is to draw a graph and find the probability of a bone density test score greater than -1.82.

### Graphical Options:
There are four graphs labeled A, B, C, and D.

- **Graph A**: Shows the area to the right of -1.82 shaded.
- **Graph B**: Shows the area to the right of 1.82 shaded.
- **Graph C**: Shows the area between -1.82 and 1.82 shaded.
- **Graph D**: Shows the area to the left of -1.82 shaded.

The correct choice (Graph A) represents the area under the normal curve to the right of -1.82, indicating the probability of obtaining a test score greater than -1.82.

### Task:
- Identify and sketch the correct region on the normal distribution graph.
- Calculate the probability of obtaining a score greater than -1.82.

### Calculation Instruction:
The probability is to be calculated and rounded to four decimal places as needed.

For educational purposes, this exercise illustrates the concept of finding probabilities using the standard normal distribution, emphasizing how to interpret and shade the appropriate area under the curve.
Transcribed Image Text:The image presents a statistical problem involving a normal distribution related to bone density test scores: ### Problem Statement: 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. The task is to draw a graph and find the probability of a bone density test score greater than -1.82. ### Graphical Options: There are four graphs labeled A, B, C, and D. - **Graph A**: Shows the area to the right of -1.82 shaded. - **Graph B**: Shows the area to the right of 1.82 shaded. - **Graph C**: Shows the area between -1.82 and 1.82 shaded. - **Graph D**: Shows the area to the left of -1.82 shaded. The correct choice (Graph A) represents the area under the normal curve to the right of -1.82, indicating the probability of obtaining a test score greater than -1.82. ### Task: - Identify and sketch the correct region on the normal distribution graph. - Calculate the probability of obtaining a score greater than -1.82. ### Calculation Instruction: The probability is to be calculated and rounded to four decimal places as needed. For educational purposes, this exercise illustrates the concept of finding probabilities using the standard normal distribution, emphasizing how to interpret and shade the appropriate area under the curve.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
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