In: Statistics and Probability
Ten different families are tested for the number of gallons of water a day they use before and after viewing a conservation video. At the 0.05 significance level, test the claim that the mean is the same before and after the viewing.
| 
 Before  | 
 33  | 
 33  | 
 38  | 
 33  | 
 35  | 
 35  | 
 40  | 
 40  | 
 40  | 
 31  | 
| 
 After  | 
 34  | 
 28  | 
 25  | 
 28  | 
 35  | 
 33  | 
 31  | 
 28  | 
 35  | 
 33  | 
Let us denote the difference
d = the number of gallons of water a day they use before - the number of gallons of water a day they use after

There is not sufficient evidence to support the claim that the mean is the same before and after the viewing.