XYZ, Inc. has been manufacturing small automobiles that have averaged 50 miles per gallon of gasoline in highway driving. The company has developed a more efficient engine for its small cars and now advertises

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XYZ, Inc. has been manufacturing small automobiles that have averaged 50 miles per gallon of
gasoline in highway driving. The company has developed a more efficient engine for its small
cars and now advertises that its new small cars average more than 50 miles per gallon in highway
driving. An independent testing service road-tested 36 of the automobiles. The sample showed an
average of 51.5 miles per gallon. The population standard deviation is 6 miles per gallon.


A. With a 0.025 level of significance, test to determine whether or not the manufacturer's
advertising campaign is legitimate.

B. What is the p-value associated with the sample results?

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