An automobile manufacturer claims that their van has a47.5miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing25vans they found a mean MPG of47.1with a standard deviation of2.0. Is there sufficient evidence at the0.05 level that the vans underperform the manufacturer's MPG rating? Assume the population distribution is approximately normal.

Step 1 of 5:State the null and alternative hypotheses.

Step 2 of 5:Find the value of the test statistic. Round your answer to three decimal places.

Step 3 of 5:Specify if the test is one-tailed or two-tailed.

Step 4 of 5:Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Step 5 of 5:Make the decision to reject or fail to reject the null hypothesis.