An automobile manufacturer claims that their van has a 46 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing 61 vans they found a mean MPG of 46.1 with a variance of 6.76 MPG. Is there sufficient evidence at the 0.01 level that the vans outperform the manufacturer's MPG rating? State the null and alternative hypotheses for the above scenario.

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