In: Statistics and Probability
1. A car company advertises that their new Minivan averages 31 mpg. You randomly select 8 minivans off the lot and test gas millage under similar conditions. The following data you collect (in mpg): 30, 28, 32, 26, 33, 25, 28, 30
Does the actual gas milleage significantly deviate from the 31 mpg reported? Test at alpha = 0.05. This is a (t) test problem
| Number | Values (X ) | ![]()  | 
| 1 | 30 | 1 | 
| 2 | 28 | 1 | 
| 3 | 32 | 9 | 
| 4 | 26 | 9 | 
| 5 | 33 | 16 | 
| 6 | 25 | 16 | 
| 7 | 28 | 1 | 
| 8 | 30 | 1 | 
| Total | 232 | 54 | 
Mean   
Standard deviation  

To Test :-
H0 :-  
H1 :-  
Test Statistic :-



Test Criteria :-
Reject null hypothesis if   

= 2.035 < 2.365, we fail to reject null hypothesis
Conclusion :- Accept Null Hypothesis

There is no sufficient evidence to conclude that there is statistically significant in the deviation of milleage of 31 mpg.
The claim is tru that A car company advertises that their new Minivan averages 31 mpg.