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A company with a large fleet of cars hopes to keep gasoline costs down and sets...

A company with a large fleet of cars hopes to keep gasoline costs down and sets a goal of attaining a fleet average of at least 25 miles per gallon. To see if the goal is being​ met, they check the gasoline usage for 70 company trips chosen at​ random, finding a mean of 24.37 mpg and a standard deviation of

4.38 mpg. Is this strong evidence they have failed to attain their fuel economy​ goal?

  1. Find the​ P-value.

The​ P-value is ____________________

  1. Explain what the​ P-value means in this context.

Choose the correct answer below.

A. The​ P-value is the probability that the mean mileage of the fleet is greater than or equal to the proposed mean of 25 mpg.

B. The​ P-value is the probability that the mean mileage of the fleet is 24.37 mpg rather than the proposed mean of 25 mpg.

C. The​ P-value is the probability of obtaining a sample mean of 24.37 mpg or less if the mean mileage of the fleet is 25 mpg.

D. The​ P-value is the probability of obtaining a sample mean of 24.37 mpg or more if the mean mileage of the fleet is 25 mpg.

​                3. State an appropriate conclusion.

Since the​ P-value is (1) ___________ than any reasonable level of​ significance, the data (2) _________   sufficient evidence to reject the null hypothesis.

(1)

Less or greater

(2)

fail to provide or provide

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