It Has Been Estimated That The $G$ -Car Obtains a Mean of 30 Miles Per Gallon on Mean

question 138

Essay

It has been estimated that the $G$ -car obtains a mean of 30 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: $\bar { x } = 31.2$ miles per gallon, $s = 7$ miles per gallon. Calculate the value of $\beta$ if the true value of the mean is 32 miles per gallon. Use $\alpha = .025$ .

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Definitions:

Bookkeeper

A person responsible for recording the financial transactions and maintaining the financial records of a business.

Negotiable Instruments

Written documents that guarantee the payment of a specific amount of money to the bearer or to a specific person, under certain conditions.

Fraud in the Inducement

A type of fraud that occurs when a person is deceived into entering into an agreement through misrepresentation of material facts.

Shelter Rule

In law, this rule allows a person who acquires goods from someone who did not have clear ownership to gain rightful ownership if the original seller had the power to transfer rights in the goods to a good faith purchaser.