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In Order to Estimate the Difference Between the Average Miles

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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.


Definitions:

HIPAA

The Health Insurance Portability and Accountability Act, legislation that provides data privacy and security provisions for safeguarding medical information.

Minimum Necessary

A principle in healthcare and privacy laws requiring the least amount of personal information to be used or disclosed for a specific purpose.

Keyboard

A device with buttons or keys for entering data into a computer or other electronic devices.

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