a) construct a rejection regionc) compute the value of the test statistic and make a decisiond) State the conclusion about the mean change in fuel economy, based on the test you performed. **Investigation of Fuel Additive Impact on Fuel Economy**Automotive engineers investigated the effect of a particular additive on the fuel economy of automobiles by computing the mean miles per gallon (MPG) for five vehicles. Each vehicle was tested while operating with the fuel additive and without it. The results are detailed in the table below:| Vehicle | 1 | 2 | 3 | 4 | 5 ||---------|-----|------|------|-----|------|| With | 22.5| 26.5 | 39.8 | 19.6| 40.2 || Without | 22.7| 25.2 | 36.7 | 19.6| 39.9 |The table shows the miles per gallon achieved by each vehicle with and without the additive. Notably, the values vary slightly between the two conditions, potentially indicating the impact of the additive.**Objective:**The task is to determine if the mean change in fuel economy, when using the additive, is statistically significant at the 5% level. The hypothesis to be tested assumes that the additive has no effect on the mean fuel economy.

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Statistics

Automotive engineers investigated the effect of a particular additive on fuel economy of automobiles by computing the mean miles per gallon of five vehicles operated normally on fuel with the additive and then operated normally on fuel without the additive, with results shown in the table. Vehicle With 1 2 3 4 5 22.5 26.5 39.8 19.6 40.2 Without 22.7 25.2 36.7 19.6 39.9

Automotive engineers investigated the effect of a particular additive on fuel economy of automobiles by computing the mean miles per gallon of five vehicles operated normally on fuel with the additive and then operated normally on fuel without the additive, with results shown in the table. Vehicle With 1 2 3 4 5 22.5 26.5 39.8 19.6 40.2 Without 22.7 25.2 36.7 19.6 39.9

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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