Problem 5 A company is marketing an additive for gasoline to improve car mileage per gallon of gasoline consumed. Ten cars were selected, and the highway miles per gallon (mpg) for each car without and with the additive were measured. Determine whether there is enough statistical evidence that the mpg is improved upon using the additive with 95% confidence and the p-value approach.
Problem 5 A company is marketing an additive for gasoline to improve car mileage per gallon of gasoline consumed. Ten cars were selected, and the highway miles per gallon (mpg) for each car without and with the additive were measured. Determine whether there is enough statistical evidence that the mpg is improved upon using the additive with 95% confidence and the p-value approach.
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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Problem 5
A company is marketing an additive for gasoline to improve car mileage per gallon of gasoline
consumed. Ten cars were selected, and the highway miles per gallon (mpg) for each car without
and with the additive were measured. Determine whether there is enough statistical evidence
that the mpg is improved upon using the additive with 95% confidence and the p-value
approach.
Transcribed Image Text:**Car Fuel Efficiency Study**
The table below displays a comparative analysis of the fuel efficiency, measured in miles per gallon (mpg), of ten cars both with and without the use of a fuel additive. This data demonstrates how the additive impacts fuel consumption.
| Car | MPG without Additive | MPG with Additive |
|-----|----------------------|-------------------|
| 1 | 25.5 | 25.0 |
| 2 | 19.0 | 20.1 |
| 3 | 18.2 | 19.2 |
| 4 | 17.5 | 18.2 |
| 5 | 24.0 | 24.0 |
| 6 | 21.0 | 21.5 |
| 7 | 27.5 | 27.4 |
| 8 | 18.5 | 20.0 |
| 9 | 19.4 | 20.1 |
| 10 | 26.0 | 26.2 |
**Analysis:**
- **General Observation:** In most cases, there is an increase in fuel efficiency with the addition of the additive.
- **Significant Changes:** Car 2, Car 3, Car 4, and Car 8 show noticeable improvements in mpg with the additive.
- **Minimal or No Change:** Car 5 maintains the same mpg with and without the additive, and changes in Cars 1 and 7 are negligible.
This information can be useful for understanding the benefits of using fuel additives in enhancing car performance in terms of fuel consumption.
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