An Automobile Manufacturer Wishes to Test That Claim That Synthetic

question 24

True/False

An automobile manufacturer wishes to test that claim that synthetic motor oil can improve gas mileage (in miles per gallon, or mpg). The table below shows the gas mileages, in mpg, of six cars that used synthetic motor oil. The table also shows the gas mileages in mpg of six cars that were using conventional motor oil (the controls).
$\begin{array}{rrrrrrr}\hline \text { Synthetic: } & 27 & 27 & 26 & 27 & 27 & 29 \\\text { Control: } & 25 & 25 & 25 & 26 & 27 & 25 \\\hline\end{array}$
Can you conclude that the mean gas mileage for cars using synthetic motor oil is more than the mean for the controls? Use the $\alpha = 0.05$ level of significance.

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Definitions:

Vessel Elements

Components in the xylem of plants that transport water and nutrients vertically.

Cuticle

The protective layer found on the outer surface of leaves, stems, and other organs of plants.

Collenchyma

A type of plant tissue characterized by its living, elongated cells with unevenly thickened walls, providing support and flexibility.

Water and Minerals

Essential components for biological organisms, facilitating metabolic processes and structural functions.