A major car manufacturer wants to test a new engine to determine if it meets new

Question

A major car manufacturer wants to test a new engine to determine if it meets new air pollution standards. The company decided to do a test of significance using z-test statistic. The mean emission n of all engines of this type must be approximately 20 parts per million of carbon. If it is higher than that, they will have to redesign parts of the engine. Ten new engines are randomly selected for testing purposes and the emission level of each is determined. Based on data collected over the years from a variety of engines, it seems reasonable to assume that emission levels of all new engines are roughly Normally distributed with sigma = 3. What is the alternative hypothesis? mu = 20 mu notequalto 20 mu > 20 mu

Explanation / Answer

15.THe alternative is mu>20.

16.a.Yes, all three simple conditions are reasonable met.

17.The test statistic is:

z=(M-mu)/sigma/root oer n

=(20-22)/3/root over 10

=-2.11

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