According to the National Center for Education Statistics, the average total tuition, fees, room and board at 4-year colleges and universities was \$$24,706$ in 2013-2014. Mr. Nye believes the average is now higher.
To investigate, he randomly selects one 4-year school from each of the 50 states. He finds the sample average to be \$$25,322$ and the sample standard deviation to be \$$2,375$. There are no outliers in his data.
Does his data provide evidence at the $\alpha = 0.05$ level that the average total tuition, fees, room and board at 4-year colleges has increased?