An automobile manufacturer claims that their jeep has a 26.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this jeep.
After testing 39 jeeps they found a mean MPG of 26.4 with a standard deviation of 2.5 MPG. Is there sufficient evidence at the 0.025 level that the jeeps outperform
the manufacturer's MPG rating?
State the null and alternative hypotheses for the above scenario.