Luke's teacher has assigned each student in his class an online quiz, which is made up of 10 multiple-choice questions with 4 options each. Luke hasn't been paying attention in class and has to guess on each question. However, his teacher allows each student to take the quiz three times and will record the highest of the three scores. A passing score is 6 or more correct out of 10. We want to perform a simulation to estimate the score that Luke will earn on the quiz if he guesses at random on all the questions. The dotplot shows Luke's simulated quiz score in 50 trials of the simulation. Doug is in the same class and claims to understand some of the material. 1 N 10000 2 …………………………………at 3 …………………… 4 3 ……………………●●●●●▬ 5 Simulated quiz score -●●●●● 10 6 7 If Doug scored 8 points on the quiz, is there convincing evidence that he understands some of the material? Why or why not? Yes, it is unlikely that Doug would score higher than 6 out of 10 based upon randomly guessing the answers. Since Doug scored 8 out of 10, there is reason to believe that Doug does understand some of the material. No, the simulation shows that Doug could just be a very good guesser. Yes, because Doug got an 8 out of 10 he has the highest score in the class according to the dot plot. He must understand some of the material. No, the simulation shows that it is impossible for Doug to get a quiz score of 8. No, Doug could have scored 8 out of 10 based upon random guessing. Just because we didn't see it in Luke's simulation doesn't mean we wouldn't see it if we conducted a simulation for Doug.
Luke's teacher has assigned each student in his class an online quiz, which is made up of 10 multiple-choice questions with 4 options each. Luke hasn't been paying attention in class and has to guess on each question. However, his teacher allows each student to take the quiz three times and will record the highest of the three scores. A passing score is 6 or more correct out of 10. We want to perform a simulation to estimate the score that Luke will earn on the quiz if he guesses at random on all the questions. The dotplot shows Luke's simulated quiz score in 50 trials of the simulation. Doug is in the same class and claims to understand some of the material. 1 N 10000 2 …………………………………at 3 …………………… 4 3 ……………………●●●●●▬ 5 Simulated quiz score -●●●●● 10 6 7 If Doug scored 8 points on the quiz, is there convincing evidence that he understands some of the material? Why or why not? Yes, it is unlikely that Doug would score higher than 6 out of 10 based upon randomly guessing the answers. Since Doug scored 8 out of 10, there is reason to believe that Doug does understand some of the material. No, the simulation shows that Doug could just be a very good guesser. Yes, because Doug got an 8 out of 10 he has the highest score in the class according to the dot plot. He must understand some of the material. No, the simulation shows that it is impossible for Doug to get a quiz score of 8. No, Doug could have scored 8 out of 10 based upon random guessing. Just because we didn't see it in Luke's simulation doesn't mean we wouldn't see it if we conducted a simulation for Doug.
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
Question
Transcribed Image Text:Luke’s teacher has assigned each student in his class an online quiz, which is made up of 10 multiple-choice questions with 4 options each. Luke hasn’t been paying attention in class and has to guess on each question. However, his teacher allows each student to take the quiz three times and will record the highest of the three scores. A passing score is 6 or more correct out of 10. We want to perform a simulation to estimate the score that Luke will earn on the quiz if he guesses at random on all the questions.
The dotplot shows Luke’s simulated quiz score in 50 trials of the simulation. Doug is in the same class and claims to understand some of the material.
**Graph/Diagram Explanation:**
The dotplot displays simulated quiz scores with the x-axis labeled "Simulated quiz score" ranging from 1 to 7. The y-axis depicts the frequency of each score. The scores are distributed as follows:
- Score of 1: 1 dot
- Score of 2: 3 dots
- Score of 3: 10 dots
- Score of 4: 11 dots
- Score of 5: 18 dots
- Score of 6: 7 dots
- Score of 7: No dots
**Question:**
If Doug scored 8 points on the quiz, is there convincing evidence that he understands some of the material? Why or why not?
- ⬜ Yes, it is unlikely that Doug would score higher than 6 out of 10 based upon randomly guessing the answers. Since Doug scored 8 out of 10, there is reason to believe that Doug does understand some of the material.
- ⬜ No, the simulation shows that Doug could just be a very good guesser.
- ⬜ Yes, because Doug got an 8 out of 10 he has the highest score in the class according to the dot plot. He must understand some of the material.
- ⬜ No, the simulation shows that it is impossible for Doug to get a quiz score of 8.
- ⬜ No, Doug could have scored 8 out of 10 based upon random guessing. Just because we didn’t see it in Luke’s simulation doesn’t mean we wouldn’t see it if we conducted a simulation for Doug.
Expert Solution
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 3 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman