Problem $2$ Public vs$.$ Private

How do private universities and public colleges compare with respect to debt at graduation incurred by students?

Read in the CollegeDebt file, which contains the average debt at graduation incurred by students for $100$ private universities and $100$ private colleges.

urlRemote $<-\backslash "$https:$//$raw$.$githubusercontent.com$/\backslash "$

pathGithub $<-\backslash "$EricBrownTTU$/$ISQS$5346/$main$/\backslash "$

filename $<-\backslash "$CollegeDebt$.$csv$\backslash "$

debt $<-$ read.csv$($paste$0($urlRemote$,$ pathGithub, filename$))$

Which statistical test is most appropriate for comparing debt at graduation incurred by students at private universities and public colleges?

At the $\backslash \backslash$alpha $=0\mathrm{.}05$ level and assuming that the population is normally distributed, is there significant evidence that the two types of universities result in different debt levels?