Question

Automobile Unleaded Leaded Difference (d) (d-d_bar)^2 1 28,2 27,4 0,8 0,15 2 30,1 29,0 1,1 0,01...

Automobile Unleaded Leaded Difference (d) (d-d_bar)^2
1 28,2 27,4 0,8 0,15
2 30,1 29,0 1,1 0,01
3 32,8 29,4 3,4 4,88
4 30,0 28,0 2,0 0,66
5 28,9 31,0 -2,1 10,82
6 31,0 29,6 1,4 0,04
7 32,3 28,3 4,0 7,90
8 30,4 29,6 0,8 0,15
9 27,0 27,0 0,0 1,42
10 28,5 28,0 0,5 0,48
mean 1,2
std.dev 1,7
t-value 2,193
Critical t-value -1,833112933
p-value 0,056006749

A sample of 10 automobiles is selected to determine if there is a significant difference in mileage between unleaded gasoline and leaded gasoline. See the experiment data on the worksheet. A significance level of 0,10 is chosen for the test.

Set up the null and alternative hypothesis and provide the hypothesis test.

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