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

question 156

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. If the student in the morning section takes a midterm exam and earns a score of 76, and 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? 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

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Definitions:

Population Variance

A measure of the dispersion of all the values in a population, calculated as the average of the squared differences from the population mean.

Confidence Interval

An interval estimate around a sample mean within which an unknown population mean is expected to lie, at a certain confidence level.

Population Mean

The average of a set of characteristics, quantities, or values for all individuals or items in a defined population.

Population Variance

A measure of how data points in a population are spread out from the mean.