Two Students Are Enrolled in an Introductory Statistics Class at the University

question 66

Essay

Two students are enrolled in an introductory statistics class at the university. The first student is in a morning section and the second student is in an afternoon section. Assume test scores are normally distributed. In the morning section, the mean was 64 and the standard deviation was 8. In the afternoon section, the class mean was 60 with a standard deviation of 7.5. If the student in the morning section takes a midterm exam and earns a score of 76, while the student in the afternoon section takes a midterm exam and earns a score of 72, which student performed better compared to the rest of the students in his or her respective class?
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Explain.
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Definitions:

Annual Annuity

A series of equal payments made at regular intervals over a period of one year.