Ten Students in a Graduate Program at the University of Toronto

question 47

Essay

Ten students in a graduate program at the University of Toronto were randomly selected.Their grade point averages (GPAs)when they entered the program were between 3.5 and 4.0.The following data consist of the students' GPAs on entering the program and their current GPAs. $$\begin{array} { c | c } \text { Entering GPA } & \text { Current GPA } \\\hline 3.5 & 3.6 \\3.8 & 3.7 \\3.6 & 3.9 \\3.6 & 3.6 \\3.5 & 3.9 \\3.9 & 3.8 \\4.0 & 3.7 \\3.9 & 3.9 \\3.5 & 3.8 \\3.7 & 4.0\end{array}$$ Using a 10% level of significance,do the data below provide evidence of the conclusion that higher entering GPAs are associated with higher current GPAs?

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Definitions:

Interval of Time

A specific duration or length of time between two points or events.

Probability

A mathematical concept that quantifies the likelihood of an event happening, ranging from 0 (impossible) to 1 (certain).

Transponders

Electronic devices that receive a signal and automatically transmit a predetermined response.

Toll Booth

A checkpoint along a roadway where travelers are required to pay a fee for passage.