Is Undergraduate Debt Different Between Hispanic and Asian-American Students?

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The discussion centers on analyzing whether the mean undergraduate debt of Hispanic students graduating in 2005 is less than that of Asian-American students from the same year. The issue of determining whether the data represents matched pairs or independent samples is raised, with a leaning towards independent pairs due to the nature of undergraduate debt. An independent t-test is suggested as the appropriate statistical method, especially considering the unequal variances confirmed by an f-test. Additionally, the importance of controlling for factors such as major, department, and geographic location is highlighted, as these may differ across cultural backgrounds. Overall, there is sufficient evidence to suggest that Hispanic students have lower mean undergraduate debt compared to their Asian-American counterparts.
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I am having a little problem tackling this problem. I can't seem to figure out if this is a matched pair or not. What we would like to study is "whether the mean undergraduate debt of Hispanic students graduating in 2005 is less than the mean undergraduate debt of Asian-American students graduating in 2005". The word undergraduate is causing the problem. I am leaning towards independent pairs but i thought i should consult here first.

Thanks.
 
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Independent t-test with equal or unequal sample sizes (as the case may be).
 
That is exactly what i thought. It is of unequal variances (Good thing i did the f-test). Anyways thanks for the help. Btw if some one does care, there is enough evidence to infer that the mean the mean undergraduate debt of Hispanic students graduating in 2005 is less than the mean undergraduate debt of Asian-American students graduating in 2005
 
Are you controlling for the major/department/college/city/state, etc.? These characteristics may or may not be uniform across cultural backgrounds.
 
I was reading documentation about the soundness and completeness of logic formal systems. Consider the following $$\vdash_S \phi$$ where ##S## is the proof-system making part the formal system and ##\phi## is a wff (well formed formula) of the formal language. Note the blank on left of the turnstile symbol ##\vdash_S##, as far as I can tell it actually represents the empty set. So what does it mean ? I guess it actually means ##\phi## is a theorem of the formal system, i.e. there is a...

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