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.