20.brand wereSuppose that two brands of gasoline were being compared for mileage. Samples of eachwere taken and used in identical cars under identical conditions. Nine tests were made ofBrand I and six tests of Brand II. The following miles per gallon were found.Brand Brand II1315161815231714192116171213Are the two brands significantly different? What must be assumed here in order to carry out htest?

Question
Asked Dec 6, 2018

Hi, please see attached. Having trouble with the calculation of the significance test of this problem. Thanks.

20.
brand were
Suppose that two brands of gasoline were being compared for mileage. Samples of each
were taken and used in identical cars under identical conditions. Nine tests were made of
Brand I and six tests of Brand II. The following miles per gallon were found.
Brand Brand II
13
15
16
18
15
23
17
14
19
21
16
17
12
13
Are the two brands significantly different? What must be assumed here in order to carry out h
test?
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20. brand were Suppose that two brands of gasoline were being compared for mileage. Samples of each were taken and used in identical cars under identical conditions. Nine tests were made of Brand I and six tests of Brand II. The following miles per gallon were found. Brand Brand II 13 15 16 18 15 23 17 14 19 21 16 17 12 13 Are the two brands significantly different? What must be assumed here in order to carry out h test?

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Expert Answer

Step 1

For the given question we can apply two t sample test with the assumption of equal variances. 

To begin with we will find out the sample means and standard deviations for both the samples as follows using an excel or applying the basic formulas for Sample Mean and Sample Standard Deviation;

 

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Step 2

Once calculated we have these calculated information for the two samples:

 

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Step 3

We can now proceed with the pooled t-test.

Let ∪1 denote the mean of Brand I and let ∪2 denot...

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