In: Statistics and Probability
A car manufacturer wants to test a new engine to determine whether it meets new air pollution standard (true mean emission must be less than 20 parts per million of carbon). Ten engines manufactured for testing purposes yield the following emission levels: 15.9, 16.2, 21.5, 19.5, 16.4, 18.4, 19.8, 17.8, 12.7, 14.8 Assume that the normal distribution assumption is satisfied for this sample. Do the data supply sufficient evidence to allow the manufacturer to conclude that this type of engine meets the pollution standard? Use α=0.01.