Question
In: Statistics and Probability
The table gives the gas mileages (mpg) of 7 cars with and without using a fuel...
The table gives the gas mileages (mpg) of 7 cars with and without using a fuel additive. At the α =0.10, is there enough evidence to conclude that the additive improved gas mileage? Assume the populations are normally distributed.
Car - 1 2 3 4 5 6 7
w/ additive - 23.1 25.4 21.9 24.3 19.9 21.2 25.9
w/out additive - 23.6 27.7 23.6 26.8 22.1 22.4 26.3
Solutions
Expert Solution
## It is paired t test :
To test : Ho : μD = 0 VS H1 : μD > 0
Test statistics : t = -4.7361
degree of freedom = n - 1 = 6
α = level of significance = 0.10
t critical value = 1.4397
decision : we reject Ho if |t | > t critical value here |t| > t critical value we reject Ho
Conclusion : There is sufficient evidence to conclude that the additive improved gas mileage .
orchestra answered 1 year agoRelated Solutions
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