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1. Consider a math text for which the highest score is 100 points. There will be

ID: 3270372 • Letter: 1

Question

1. Consider a math text for which the highest score is 100 points. There will be a perfect negative correlation between a student's score on the test and the number of points the student loses because of errors.

a. If the number of points student A loses is half a standard deviation below the mean (i.e., he has  = -.5 for points lost), what z score would correspond to student A's score on the test?

b. If student B attains a z score of -1.8 on the test, what z score would correspond to the number of points student B lost on the test?

Explanation / Answer

A) If the number of points student A loses is half standard deviation below the mean, z score corresponding to number of points student A loses = -0.5

Z score corresponding to student A's test score = 0.5

B) z score corresponding to student B's test score = -1.8

Z score corresponding to points student lost = 1.8