A Researcher Was Interested in Comparing the GPAs of Students

question 17

Essay

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. $$\begin{array} { c | c c } \text { Scarborough } & \text { Mississauga } \\\hline 3.7 & 3.8 & 2.8 \\3.2 & 3.2 & 4.0 \\3.0 & 3.0 & 3.6 \\2.5 & 3.9 & 2.6 \\2.7 & 3.8 & 4.0 \\3.6 & 2.5 & 3.6 \\2.8 & 3.9 & \\3.4 & &\end{array}$$ Do the data provide sufficient evidence to conclude that the mean GPA of students at the Scarborough campus differs from the mean GPA of students at the Mississauga campus? Perform a t-test at the 10% significance level.

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Definitions:

Medicare Withholding

The portion of a U.S. employee's paycheck that is automatically deducted and contributed to the Medicare program.

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The process by which employers deduct a portion of an employee's salary to contribute to the Social Security program.

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The amount of federal income tax withheld from an employee's paycheck, based on their earnings and tax filing status.

Net Pay

The amount of money remaining from an employee's gross pay after deductions like taxes, insurance premiums, and retirement contributions have been subtracted.