It Has Been Estimated That The $G$ -Car Obtains a Mean of 40 Miles Per Gallon on Mean

question 55

Essay

It has been estimated that the $G$ -car obtains a mean of 40 miles per gallon on the highway, and the company that manufactures the car claims that it exceeds this estimate in highway driving. To support its assertion, the company randomly selects $49 \mathrm { G }$ -cars and records the mileage obtained for each car over a driving course similar to that used to obtain the estimate. The following data resulted: $\bar { x } = 41.5$ miles per gallon, $s = 7$ miles per gallon. Calculate the power of the test if the true value of the mean is 41 miles per gallon. Use a value of $\alpha = .025$ .

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Definitions:

Public Good

Goods that are non-excludable and non-rivalrous, meaning that individuals cannot be effectively excluded from use and where use by one individual does not reduce availability to others.

Nonexcludable

Nonexcludable goods are those that cannot feasibly or reasonably be kept from individuals who do not pay for them, one of the characteristics of public goods.

Nonrival

A characteristic of a good whereby one person's consumption does not prevent or decrease the ability of others to enjoy it as well.

Private Good

A product or service that is consumed by a single individual or household and cannot be used or consumed by others simultaneously.