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In Order to Estimate the Difference Between the Average Miles

Question 123

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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.
 Modal A  Modal B Sample Size 6055 Sample Mean 2825 Smple Variance 169\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.

Correct Answer:

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a. 1.7 to 4.3
b. Since the ran...

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