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A Company Claims That You Can Expect Your Car to Get

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A company claims that you can expect your car to get one mpg better gas mileage while using their gasoline additive.A magazine did a study to find out how much a car's gas mileage improved while using the gasoline additive.The study used 36 cars and recorded the average mpg with and without the additive for each car in the study.The cars with the additive averaged 1.20 mpg better than without and had a variance of 0.36 (mpg)2.
A)Specify the competing hypotheses to determine if the gasoline additive improved gas mileage by at least one mpg.Use the matched-pairs sampling.
B)Calculate the value of the test statistic and p-value.
C)Make a conclusion at the 5% significance level.

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Definitions:

Natural Extrinsic Rewards

Benefits or incentives provided by the environment or context, not inherently related to the activity being performed.

Merit Pay Increases

Salary increments awarded to employees based on their performance, productivity, or achievements.

Operant Conditioning

A learning process in which the strength of a behavior is modified by reinforcement or punishment.

Ivan Pavlov

A Russian physiologist known for his work in classical conditioning, particularly his experiments with dogs, demonstrating that behavior can be conditioned.

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