If the null and alternative hypotheses can be used to decide whether the new filtration system could be superior. Calculate the standardized test statistic.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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A trucking firm is considering the installation of a new, low-restriction engine air filter for its long-haul trucks, but doesn’t want to make the switch unless the new filter can be shown to improve the fuel economy of these vehicles. A test is set up in which each of 10 trucks makes the same run twice once with the old filtration system and once with the new version. Given the sample results shown below:

 

Truck

Number

Current Filter

(mpg)

New Filter

(mpg)

1

7.6

7.3

2

4.1

7.2

3

10.4

6.8

4

6.9

10.6

5

5.6

8.8

6

7.9

8.7

7

5.4

5.7

8

5.7

8.7

9

5.5

8.9

10

5.3

7.1

 

If the null and alternative hypotheses can be used to decide whether the new filtration system could be superior. Calculate the standardized test statistic.

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