An automobile manufacturer has given its van a 35.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van performs over the manufacturer's MPG rating. After testing 120 vans, they found a mean MPG of 35.5. Assume the population standard deviation is known to be 2.1. Is there sufficient evidence at the 0.05 level to support the testing firm's claim?

1)State the null and alternative hypotheses.

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

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

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

5)Identify the level of significance for the hypothesis test.

6)Make the decision to reject or fail to reject the null hypothesis.