Dian S. answered • 04/22/20

AP Statistics Tutor with Graduate Level teaching experience

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