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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