Question
A school district administered two year-end mathematics achievement tests to its eighth graders. The state test had a mean of 25 and a standard deviation
A school district administered two year-end mathematics achievement tests to its eighth graders.
The state test had a mean of 25 and a standard deviation of 3.7.
The national test had a mean of 150 and a standard deviation of 21.4. 4 pts each
a) What is the z-score, to the nearest hundredth, for a student with a state score of 20?
b) What is the z-score, to the nearest hundredth, for a student with a national score of 103?
c) Which of the two test scores from parts a and b indicates the stronger relative performance for
this student? Explain why by clearly indicating the meaning of a z-score.
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