Imagine that a professor of psychology has two teaching assistants (TAS) who will help him grade assignments for the duration of the semester. The professor wants to make sure that he and the TAS are well calibrated with one another, so he has all three of them grade the first assignment independently. Because the professor grades every assignment on a curve, he first converts the students' scores to z-scores for each grader. The following table shows the z-scores for a population of 10 students in his class for each grader. Student 1 Student 2 Student 3 Student 4 Student S Student 6 Student 7 Student 8 Student 9 Student 10 Professor Teaching Assistant #1 Teaching Assistant #2 0.40 0.88 -0.94 2.26 -0.49 0.48 -0.94 0.04 -0.49 -1.21 1.01 -1.70 0.30 0.88 -1.08 0.30 -1.52 1.15 0.57 0.08 1.45 -0.61 0.34 0.72 -1.26 0.08 -2.11 0.77 0.46 0.16
Imagine that a professor of psychology has two teaching assistants (TAS) who will help him grade assignments for the duration of the semester. The professor wants to make sure that he and the TAS are well calibrated with one another, so he has all three of them grade the first assignment independently. Because the professor grades every assignment on a curve, he first converts the students' scores to z-scores for each grader. The following table shows the z-scores for a population of 10 students in his class for each grader. Student 1 Student 2 Student 3 Student 4 Student S Student 6 Student 7 Student 8 Student 9 Student 10 Professor Teaching Assistant #1 Teaching Assistant #2 0.40 0.88 -0.94 2.26 -0.49 0.48 -0.94 0.04 -0.49 -1.21 1.01 -1.70 0.30 0.88 -1.08 0.30 -1.52 1.15 0.57 0.08 1.45 -0.61 0.34 0.72 -1.26 0.08 -2.11 0.77 0.46 0.16
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
![Imagine that a professor of psychology has two teaching assistants (TAS) who will help him grade assignments for the duration of the semester. The
professor wants to make sure that he and the TAS are well calibrated with one another, so he has all three of them grade the first assignment
independently. Because the professor grades every assignment on a curve, he first converts the students' scores to z-scores for each grader. The
following table shows the z-scores for a population of 10 students in his class for each grader.
Student 1
Student 2
Student 3
Student 4
Student 5
Student 6
Student 7
Student 8
Student 9
Student 10
Professor
0.40
0.88
-0.94
2.26
-0.49
0.48
-0.94
0.04
-1.21
Teaching Assistant #1 Teaching Assistant #2
1.01
-1.70
0.30
0.88
-1.08
0.30
-1.52
1.15
0.57
0.08
1.45
-0.61
0.34
0.72
-1.26
0.08
-2.11
0.77
0.46
0.16](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdabc7e8b-d42d-4c7a-8b8c-eac102cb510a%2F16ad4e3d-3489-4e0a-883e-d2121c69757b%2Fsv6rnkw.jpeg&w=3840&q=75)
Transcribed Image Text:Imagine that a professor of psychology has two teaching assistants (TAS) who will help him grade assignments for the duration of the semester. The
professor wants to make sure that he and the TAS are well calibrated with one another, so he has all three of them grade the first assignment
independently. Because the professor grades every assignment on a curve, he first converts the students' scores to z-scores for each grader. The
following table shows the z-scores for a population of 10 students in his class for each grader.
Student 1
Student 2
Student 3
Student 4
Student 5
Student 6
Student 7
Student 8
Student 9
Student 10
Professor
0.40
0.88
-0.94
2.26
-0.49
0.48
-0.94
0.04
-1.21
Teaching Assistant #1 Teaching Assistant #2
1.01
-1.70
0.30
0.88
-1.08
0.30
-1.52
1.15
0.57
0.08
1.45
-0.61
0.34
0.72
-1.26
0.08
-2.11
0.77
0.46
0.16
![The professor is going to use the z-scores to calculate the correlation coefficient between his scores and those of his TAS. To calculate the correlation
coefficient, he sums the products of the z-scores. The professor should divide this sum by 10
The professor constructed a table of correlation coefficients between his scores and those of his TAS. Select the correct missing correlation.
Teaching Assistant #1
Teaching Assistant #2
Professor Teaching Assistant #1
0.25
0.36
1
0.90
Based on the correlation table, the professor should arrive at which of the following conclusions?
The professor and TA #1 are well calibrated, but TA #2 is off.
O The professor and TA #2 are well calibrated, but TA #1 is off.
The two TAs are well calibrated with each other but not with the professor.
O The professor and both of his TAs are well calibrated.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdabc7e8b-d42d-4c7a-8b8c-eac102cb510a%2F16ad4e3d-3489-4e0a-883e-d2121c69757b%2Fnmz9ssu.jpeg&w=3840&q=75)
Transcribed Image Text:The professor is going to use the z-scores to calculate the correlation coefficient between his scores and those of his TAS. To calculate the correlation
coefficient, he sums the products of the z-scores. The professor should divide this sum by 10
The professor constructed a table of correlation coefficients between his scores and those of his TAS. Select the correct missing correlation.
Teaching Assistant #1
Teaching Assistant #2
Professor Teaching Assistant #1
0.25
0.36
1
0.90
Based on the correlation table, the professor should arrive at which of the following conclusions?
The professor and TA #1 are well calibrated, but TA #2 is off.
O The professor and TA #2 are well calibrated, but TA #1 is off.
The two TAs are well calibrated with each other but not with the professor.
O The professor and both of his TAs are well calibrated.
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 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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