Two students are comparing their recent midterm scores. The first student received a 92 and the second

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Two students are comparing their recent midterm scores. The first student received a 92 and the second student received an 86. However, they are in different classes, and their tests were slightly different. The mean score in the first student’s class was 82, with a standard deviation of 10 points. The mean score in the second student’s class was a 75, with a standard deviation of 10. Both tests were normally distributed.

a. Convert both students’ test scores to z-scores.

b. What percentage of test scores was below each score?

c. Which student did better on the statistics test?

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