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Name: Automobiles manufactured by the Efficiency Company have been averaging
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Description: Automobiles manufactured by the Efficiency Company have been averaging 42 miles per gallon of gasoline in highway driving. It is believed that its new automobiles average more than 42 miles per gallon. An independent testing service road-tested 36 of

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Automobiles manufactured by the Efficiency Company have been averaging 42 miles per gallon of gasoline in highway driving. It is believed that its new automobiles average more than 42 miles per gallon. An independent testing service road-tested 36 of the automobiles. The sample showed an average of 42.8 miles per gallon with a standard deviation of 1.2 miles per gallon. With a 0.05 level of significance using the p-value approach, test to determine whether or not the new automobiles actually do average more than 42 miles per gallon.

a. State the null and alternative hypotheses.

b. Compute the test statistic.

c. What is the p-value associated with the sample results? What is your conclusion based on the p-value?

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