An automobile manufacturer has given its van a
47.7
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 has an incorrect manufacturer’s MPG rating. After
testing
150
vans, they found a mean MPG of
47.4
. Assume the population standard deviation is known to be
2.6
. A level of significance of
0.02
will be used. State the null and alternative hypotheses.