A major car manufacturer wants to test a new engine to determine whether it meets new air pollution standards. The mean emission,? of all engines of this type must be less than 20 parts per million of carbon. Ten engines are manufactured for testing purposes, and the mean and standard deviation of emissions for this sample of engines are determined to be ?x = 17.1 parts per million , s = 3.0 parts per million. Do the data supply sufficient evidence to allow the manufacturer to conclude that this type of engines meets the pollution standard? Assume that the manufacture is willing to take risk a type I error with the probability ? = 0.01
Solve via P-Value Method: