An automotive engineer wishes to see whether a new automoile will get more miles

Question

An automotive engineer wishes to see whether a new automoile will get more miles per gallon with high-octane gasoline than with regular octane gasoline. She selects a samples of 15 automobiles and 19 automobiles with one sample using high-octane and the other using regular octane gasoline. The miles per gallon measurements can be assumed to be normal for both populations.
a) the test is_____ H0: H1:
b) Using complete sentences and no mathematical symbolism whatsoever, explain what type of I error would be in the context of the problem above

Explanation / Answer

a) The test is a t-test for comparison of two population means

b)

Type I error is the probability of rejecting the null hypothesis when it is true Type I error in the above context would mean the probability of concluding that the average miles per gallon with high octane gasoline is less than the average miles per gallon with regular gasoline although the truth is exactly the reverse

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