An automobile manufacturer claims that their van has a34.5

34.5

miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing28

28

vans they found a mean MPG of34.1

34.1

with a standard deviation of2.3

2.3

. Is there sufficient evidence at the0.025

0.025

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;Find the value of the test statistic. Round your answer to three decimal places.

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

step 4;Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

step 5;Make the decision to reject or fail to reject the null hypothesis.

step 6;