A Company Claims That You Can Expect Your Car to Get

question 84

Essay

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 the critical value.
C) Make a conclusion at the 5% significance level.

• 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 the critical value.
• C) Make a conclusion at the 5% significance level.

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Definitions:

Utilitarianism

The political philosophy according to which the government should choose policies to maximize the total utility of everyone in society.

Deccan Sultanates

A group of five dynasties that ruled over the Deccan Plateau in south-central India from the 14th to the 17th century, known for their contributions to Indian art and architecture.

Vijayanagar Empire

A prominent South Indian empire known for its wealth, strength, and patronage of the arts and architecture, flourishing between the 14th and 17th centuries.

Great Temple

A term that can refer to any significant religious structure or building deemed important due to its size, history, or spiritual significance.