In Order to Estimate the Difference Between the Average Miles

Short Answer

In order to estimate the difference between the average Miles per Gallon of two different models of automobiles, samples are taken and the following information is collected.
$$\begin{array} { l c r } & \text { Modal A } & \text { Modal B} \\\text { Sample Size } & 60 & 55 \\\text { Sample Mean } & 28 & 25 \\\text { Smple Variance } & 16 & 9\end{array}$$
a. At 95% confidence develop an interval estimate for the difference between the average Miles per Gallon for the two models.
b. Is there conclusive evidence to indicate that one model gets a higher MPG than the other? Why or why not? Explain.