Does working while being in school negatively impact a full-time college student's grades? A researcher at a local university attempted to investigate this question by performing a hypothesis test. She collected data from full-time students in their 1st and 2nd years enrolled in majors across the institution. One sample contained 52 full-time students who worked at least 15 hours per week, and the other contained 48 full-time students who did not work. The researcher computed the mean GPA (grade point average) for each group. The statistics for each sample are shown in the table below.

Samples	nn	xx	ss
Worked 15 hours or more per week	52	2.95	0.14
Did not work	48	3.01	0.12

At the 5% significance level, can we conclude that the mean GPA of full-time students who work 15 hours or more per week is less than the mean GPA of full-time students who don't work?

(11) What are the null and alternative hypotheses for this hypothesis test? Use H₀ to represent the null hypothesis and use H_a to represent the alternative hypothesis. What type of test is this?