Congress regulates corporate fuel economy and sets an annual gas mileage for cars.

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Question:  Congress regulates corporate fuel economy and sets an annual gas mileage for cars. A company with a large fleet of cars hopes to meet the goal of 30.4 mpg or better for their fleet of cars. To see if the goal is being​met, they check the gasoline usage for 46 company trips chosen at ​random, finding a mean of 31.4 mpg and a standard deviation of 2.57 mpg. Is this strong evidence that they have attained their fuel economy​ goal? Use 0.05 as the​ level of significance. p-Value = 0.006. State an appropriate conclusion. Choose the correct answer below.

Given: A company with a large fleet of cars hopes to meet the goal of 30.4 mpg or better for their fleet of cars.

That is : Mean = \mu = 30.4  mpg.

Sample size = n = 46

Sample mean =\bar{x}= 31.4

Sample standard deviation = s = 2.57 mpg

We have to test if there is strong evidence that they have attained their fuel economy goal.

level of significance  = 0.05

Step 1) State H0 and H1:

H_{0}: \mu = 30.4