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). $$\begin{array} { r r r r r r r }
\hline \text { Synthetic: } & 26 & 27 & 25 & 27 & 28 & 28 \
\text { Control: } & 26 & 25 & 25 & 26 & 27 & 25 \
\hline
\end{array}$$ 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.

Question

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). $$\begin{array} { r r r r r r r } 
\hline \text { Synthetic: } & 26 & 27 & 25 & 27 & 28 & 28 \
\text { Control: } & 26 & 25 & 25 & 26 & 27 & 25 \
\hline
\end{array}$$ 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.

Quizplus · Accepted Answer

The question asks for a conclusion based on statistical analysis, but without conducting a proper statistical test (e.g., a t-test) and calculating the p-value to compare against the significance level ($\alpha = 0.05$), we cannot definitively conclude if the mean gas mileage for cars using synthetic motor oil is significantly more than the mean for the controls.

An Automobile Manufacturer Wishes to Test That Claim That Synthetic