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An automobile manufacturer claims that their jeep has a 29.1 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this jeep. After testing 270 jeeps they found a mean MPG of 29.3. Assume the population variance is known to be 4.84. Is there sufficient evidence at the 0.1 level that the jeeps outperform the manufacturer's MPG rating?

Step 1. State the hypotheses:

Step 2. Find the value of the test statistic. (Round your answer to 2 decimal places.)

(n-1)s^2 (270-1)2.1863

®^2 0 4.48

Step 3. Specify if the test is one-tailed or two-tailed.

Step 4. Find the P value of the test statistic. (Round your answer to 4 decimal places.)

Step 5. Determine the value of the level of significance.

Step 6. Determine the conclusion.

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