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

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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
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.
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.
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