A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following information. 
The test statistic for the difference between the two population means is
Definitions:
Extreme Values
The maximum and minimum values in a data set, often of particular interest for identifying outliers.
Bell Shaped
A term often used in statistics to describe the symmetrical, bell-like curve of a normal distribution.
Sensitive
Capable of detecting or responding to small changes, often used in the context of measurements, instruments, or systems.
Extreme Values
Data points that are significantly different from the majority of observations in a dataset; they can be unusually high or low.
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