Homework Help is Here – Start Your Trial Now!
Math
Statistics
The bone density scores are (Use a comma to separate answers as needed. Round to two decimal places as needed.)

The bone density scores are (Use a comma to separate answers as needed. Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
**6.1.40-E: 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. Draw a graph and find the bone density test scores that can be used as cutoff values separating the lowest 10% and highest 10%, indicating levels that are too low or too high, respectively. **Sketch the region. Choose the correct graph below:** - **Image A:** Displays a normal distribution curve with the lowest 10% and highest 10% shaded symmetrically on both tails of the curve. - **Image B (Correct):** Displays a normal distribution curve with the lowest 10% shaded on the left tail and the highest 10% shaded on the right tail. - **Image C:** Displays a normal distribution curve with the central 80% shaded, leaving the 10% on both extremes unshaded. - **Image D:** Displays a normal distribution curve with the lowest and highest 10% both shaded, but not symmetrically or correctly positioned. The correct graph is ♥ **B** ♥. **Bone Density Score Cutoff:** The bone density scores are ___. *(Use a comma to separate answers as needed. Round to two decimal places as needed.)* In this context, the cutoff values corresponding to the lowest 10% and highest 10% can be found using z-scores. For a normal distribution, the z-scores that separate the lowest 10% and highest 10% from the rest of the distribution are approximately -1.28 and 1.28, respectively. Therefore, the bone density test scores that can be used as cutoffs are around -1.28 and 1.28.
Transcribed Image Text:**6.1.40-E: 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. Draw a graph and find the bone density test scores that can be used as cutoff values separating the lowest 10% and highest 10%, indicating levels that are too low or too high, respectively. **Sketch the region. Choose the correct graph below:** - **Image A:** Displays a normal distribution curve with the lowest 10% and highest 10% shaded symmetrically on both tails of the curve. - **Image B (Correct):** Displays a normal distribution curve with the lowest 10% shaded on the left tail and the highest 10% shaded on the right tail. - **Image C:** Displays a normal distribution curve with the central 80% shaded, leaving the 10% on both extremes unshaded. - **Image D:** Displays a normal distribution curve with the lowest and highest 10% both shaded, but not symmetrically or correctly positioned. The correct graph is ♥ **B** ♥. **Bone Density Score Cutoff:** The bone density scores are ___. *(Use a comma to separate answers as needed. Round to two decimal places as needed.)* In this context, the cutoff values corresponding to the lowest 10% and highest 10% can be found using z-scores. For a normal distribution, the z-scores that separate the lowest 10% and highest 10% from the rest of the distribution are approximately -1.28 and 1.28, respectively. Therefore, the bone density test scores that can be used as cutoffs are around -1.28 and 1.28.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Basics of Inferential Statistics
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.
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
SEE MORE TEXTBOOKS