Question 1183062
It is safe to assume n is < 5% of all students if one thinks there are more than 2000 students in the area, since the sample is 100/2000 in that instance or 5%.
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Ho:mu < = $25,235
Ha: mu >$25,235
Note: I prefer the  greater than (without equals) in Ha and put the inequality and equal sign with Ho, since rejecting it means that single value postulated is rejected as well.
alpha=0.05 p{reject Ho|Ho true}
test stat is t(0.975, df=99) can use z, but it is a t-test and no reason not to use it in these days of calculators.
Critical value for a right tail test is t > 1.66
t=(x bar-mu)/s/sqrt(n)
=$2289*10/6000, inverting the denominator to multiply.
=3.815 or 3.82

This is > 1.66 so reject Ho and conclude that student debt is higher than the postulated value.
p-value=0.0001