Jacob knows that the adult population gets, on average, eight hours of sleep each night. A hypothesis test can help him see if college students are different from the adult population.

From a sample of 101 students, Jacob tabulated that his sample of students got an average of 7.3 hours of sleep each night, with a standard deviation of 2.6.

Using the data provided and the formula below, what is the t-statistic that Jacob calculates? Answer choices are rounded to the hundredths place.

t equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator s over denominator square root of n end fraction end style end fraction

a.)
3.70

b.)
-2.71

c.)
6.99

d.)
7.72