a. Identify the conditions would it be reasonable to use z-scores to compare the
yapafw
Answered question
2021-11-21
Given info:
The mean SAT math score is 528 with a standard deviation of 105. The mean SAT verbal score is 475 with standard deviation is 98. A student in the graduating class scored 740 on SAT math and 715 on SAT verbal.
b. To identify the test did the student do better.
Answer & Explanation
Steven Arredondo
Beginner2021-11-22Added 18 answers
If the distributions of the two data have same shape then it is reasonable to use z-scores to compare the standings of the stident on the two tests relative to the other students in the graduating class.
Answer:
It is reasonable to use z-scores to compare the standings of the students on the two tests relative to the other students in the graduating class, if the distributions of the math and verbal SAT scores for the graduating class have approximately same shape.
Clis1955
Beginner2021-11-23Added 9 answers
The formula for finding z-score is,
For math SAT:
Substitute
For verbal SAT:
Substitute
Here, the student's z-score on the verbal SAT is greater than the students z-score on the math SAT. Thus, the student did better on the verbal SAT relative to the other students in the class.
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