Answered: A trucking firm is considering the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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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.

	A.	t_statistic = -21.2196
	B.	t_statistic = 21.2196
	C.	t_statistic = -2.1219
	D.	t_statistic = -2.1220

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