The final exam scores for History 101 are at the University of Oklahoma are normally distributed with mean p = 73.4 and standard deviation o = 8.2, use the Z scores and Z areas table to find the following: If 1 student is randomly selected, find the probability that the student scored an A (90 or above) on the exam. 18 (A) 0.9783 (B) 0.9673 (C) 0.0864 (D) 0.0217 X scor H= 73.4 O = 8.2 Z scal z = 0 If 1 student is randomly selected, find the probability that the student scored an F (59 or below) on the exam. 19 (A) 0.9608 (B) 0.0392 (C) 0.6380 (D) 0.7642 If a sample of 25 students are randomly selected, find the probability that the mean of their test scores was 75 or below. 20 (A) 0.9306 (B) 0.8298 (C) 0.8340 (D) 0.7506
The final exam scores for History 101 are at the University of Oklahoma are normally distributed with mean p = 73.4 and standard deviation o = 8.2, use the Z scores and Z areas table to find the following: If 1 student is randomly selected, find the probability that the student scored an A (90 or above) on the exam. 18 (A) 0.9783 (B) 0.9673 (C) 0.0864 (D) 0.0217 X scor H= 73.4 O = 8.2 Z scal z = 0 If 1 student is randomly selected, find the probability that the student scored an F (59 or below) on the exam. 19 (A) 0.9608 (B) 0.0392 (C) 0.6380 (D) 0.7642 If a sample of 25 students are randomly selected, find the probability that the mean of their test scores was 75 or below. 20 (A) 0.9306 (B) 0.8298 (C) 0.8340 (D) 0.7506
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Topic Video
Question
![**Using the Standard Normal Distribution Z Scores**
The final exam scores for History 101 at the University of Oklahoma are normally distributed with a mean (μ) = 73.4 and standard deviation (σ) = 8.2. Use the Z scores and the Z areas table for the following problems:
18. **If 1 student is randomly selected, find the probability that the student scored an A (90 or above) on the exam.**
- (A) 0.9783
- (B) 0.9673
- (C) 0.0864 *(Correct Answer)*
- (D) 0.0217
19. **If 1 student is randomly selected, find the probability that the student scored an F (59 or below) on the exam.**
- (A) 0.9608
- (B) 0.0392
- (C) 0.6380
- (D) 0.7642
20. **If a sample of 25 students are randomly selected, find the probability that the mean of their test scores was 75 or below.**
- (A) 0.9306
- (B) 0.8298
- (C) 0.8340 *(Correct Answer)*
- (D) 0.7506
**Explanation of the Graph:**
The graph shown is a standard bell curve representing the normal distribution of the test scores. The horizontal axis represents X scores, and the vertical axis does not have specific values but indicates frequency.
- The mean (μ = 73.4) is the center of the distribution.
- The standard deviation (σ = 8.2) shows how spread out the scores are from the mean.
- The Z scale is marked at z = 0 at the mean, indicating the standard score.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85ea06b9-bc92-4a2d-b71d-f9828a5e92af%2F638c5ea2-aa29-436a-aa57-8c8852160bed%2Fiqw81ym_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Using the Standard Normal Distribution Z Scores**
The final exam scores for History 101 at the University of Oklahoma are normally distributed with a mean (μ) = 73.4 and standard deviation (σ) = 8.2. Use the Z scores and the Z areas table for the following problems:
18. **If 1 student is randomly selected, find the probability that the student scored an A (90 or above) on the exam.**
- (A) 0.9783
- (B) 0.9673
- (C) 0.0864 *(Correct Answer)*
- (D) 0.0217
19. **If 1 student is randomly selected, find the probability that the student scored an F (59 or below) on the exam.**
- (A) 0.9608
- (B) 0.0392
- (C) 0.6380
- (D) 0.7642
20. **If a sample of 25 students are randomly selected, find the probability that the mean of their test scores was 75 or below.**
- (A) 0.9306
- (B) 0.8298
- (C) 0.8340 *(Correct Answer)*
- (D) 0.7506
**Explanation of the Graph:**
The graph shown is a standard bell curve representing the normal distribution of the test scores. The horizontal axis represents X scores, and the vertical axis does not have specific values but indicates frequency.
- The mean (μ = 73.4) is the center of the distribution.
- The standard deviation (σ = 8.2) shows how spread out the scores are from the mean.
- The Z scale is marked at z = 0 at the mean, indicating the standard score.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman