Question

In: Statistics and Probability

1. A car company advertises that their new Minivan averages 31 mpg. You randomly select 8...

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

Solutions

Expert Solution

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.


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