In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in his class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, he decides to convert the test scores into z-scores relative to the mean and standard deviation of the students in the class. The mean test score in his upcoming class is 49, and the standard deviation is 20.7. The following are the scores for some (not all) of his students. Complete the table using the dropdown menus. Student Test Score A B C с D E F G In H 32 45 66 55 33 72 59 44 For z = 2.00, test score = Z-score For z = -2.00, test score = -0.82 0.82 -0.77 The teacher wants to identify those students who may need an extra challenge or extra help. As a first cut, he decides to look at students who have z-scores above z = 2.00 or below z = -2.00. Identify the test score corresponding to each of the following z-scores. Round to the nearest whole number. 0.48

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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3. Transforming X values into z-scores
In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in his class.
Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will
be in the class. To do so, he decides to convert the test scores into z-scores relative to the mean and standard deviation of the students in the
class. The mean test score in his upcoming class is 49, and the standard deviation is 20.7.
The following are the scores for some (not all) of his students. Complete the table using the dropdown menus.
Student Test Score
A
B
Ιο π ποοο
с
D
G
H
32
45
66
55
33
72
59
44
Z-score
For z = 2.00, test score =
-0.82
For z = -2.00, test score =
0.82
-0.77
The teacher wants to identify those students who may need an extra challenge or extra help. As a first cut, he decides to look at students who
have z-scores above z = 2.00 or below z = -2.00.
0.48
Identify the test score corresponding to each of the following z-scores. Round to the nearest whole number.
Transcribed Image Text:3. Transforming X values into z-scores In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in his class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, he decides to convert the test scores into z-scores relative to the mean and standard deviation of the students in the class. The mean test score in his upcoming class is 49, and the standard deviation is 20.7. The following are the scores for some (not all) of his students. Complete the table using the dropdown menus. Student Test Score A B Ιο π ποοο с D G H 32 45 66 55 33 72 59 44 Z-score For z = 2.00, test score = -0.82 For z = -2.00, test score = 0.82 -0.77 The teacher wants to identify those students who may need an extra challenge or extra help. As a first cut, he decides to look at students who have z-scores above z = 2.00 or below z = -2.00. 0.48 Identify the test score corresponding to each of the following z-scores. Round to the nearest whole number.
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