The gas mileages, in miles per gallon (mpg), of 10 randomly selected cars, both with and without a new gasoline additive, are shown in the following table. with additive Without additive 25.7 24.9 188 27.7 13.0 200 284 13.7 IRS 178 125 284 113 278 23.1 23.1 10.4 9.9 a. Apply the paired r-test to decide, at the 5% significance level, whether the gasoline additive is effective in increasing gas mileage. b. Apply the pooled -test to the sample data to perform the hypothesis test. c. Compare your result in parts (0) and (b). c. Is performing the hypothesis test the way you did in part (b) appropriate or

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
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ISBN:9781305084766
Author:Saeed Moaveni
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Chapter15: Computational Engineering Tools Matlab
Section: Chapter Questions
Problem 29P
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The gas mileages, in miles per gallon (mpg), of 10 randomly selected cars, both
with and without a new gasoline additive, are shown in the following table.
With additive Without additive
25.7
200
284
13.7
249
18.8
27.7
13.0
IKS
178
113
125
284
278
23.1
23.1
10.4
9.9
a. Apply the paired -test to decide, at the 5% significance level, whether the
gasoline additive is effective in increasing gas mileage.
b. Apply the pooled 1-test to the sample data to perform the hypothesis test.
c. Compare your result in parts (a) and (b).
c. Is performing the hypothesis test the way you did in part (b) appropriate or
inappropriate? Whhy?
Transcribed Image Text:The gas mileages, in miles per gallon (mpg), of 10 randomly selected cars, both with and without a new gasoline additive, are shown in the following table. With additive Without additive 25.7 200 284 13.7 249 18.8 27.7 13.0 IKS 178 113 125 284 278 23.1 23.1 10.4 9.9 a. Apply the paired -test to decide, at the 5% significance level, whether the gasoline additive is effective in increasing gas mileage. b. Apply the pooled 1-test to the sample data to perform the hypothesis test. c. Compare your result in parts (a) and (b). c. Is performing the hypothesis test the way you did in part (b) appropriate or inappropriate? Whhy?
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