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A Researcher Was Interested in Comparing the GPAs of Students

question 3

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A researcher was interested in comparing the GPAs of students at the University of Toronto Scarborough and Mississauga campuses.Independent random samples of 8 students from the Scarborough campus and 13 students from the Mississauga campus yielded the following GPAs.  Scarborough  Mississauga 3.73.82.83.23.24.03.03.03.62.53.92.62.73.84.03.62.53.62.83.93.4\begin{array} { c | c c } \text { Scarborough } & \text { Mississauga } \\\hline 3.7 & 3.8 & 2.8 \\3.2 & 3.2 & 4.0 \\3.0 & 3.0 & 3.6 \\2.5 & 3.9 & 2.6 \\2.7 & 3.8 & 4.0 \\3.6 & 2.5 & 3.6 \\2.8 & 3.9 & \\3.4 & &\end{array} Determine a 95% confidence interval for the difference, μ1μ2,\mu _ { 1 } - \mu _ { 2 } , between the mean GPA of all students at the Scarborough campus and the mean GPA of all students at the Mississauga campus.


Definitions:

Aggregate Demand

The aggregate request for every product and service within an economy at a specified time and price point.

Wages

Monetary compensation paid by an employer to an employee in exchange for work performed.

Long-Run Phillips Curve

A graphical representation suggesting that in the long term, there is no trade-off between inflation and unemployment, showing vertical at the natural rate of unemployment.

Unemployment Rate

The percentage of those in the labor force who are not working but are in search of employment.

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