This is a two sample t test
Ho: MuF - MuS = 0
Ha: MuF - MuS not equal to 0
MuF - MuS = Actual difference in the means of hours per week of free time for Freshman minus seniors
Assuming two random samples, normality and independence, reject Ho if the calculated t > critical t
t calculated = (29-22)/sqrt((7^2/25)+(6.2^2/23)) = 3.67
t critical = t (df=46 alpha=0.025 two tailed)= 2.013
t calculated > t critical, Reject Ho. There is evidence that the two means are different