An automobile manufacturer claims that their car has a 30.8 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car. After testing 5 cars they found a mean MPG of 30.6 with a standard deviation of 1.6 MPG. Is there sufficient evidence at the 0.025 level that the cars underperform the manufacturer's MPG rating? State the null and alternative hypotheses for the above scenario.

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