A major car manufacturer wants to test a new engine to determine whether it meet

Question

A major car manufacturer wants to test a new engine to determine whether it meets new air pollution standards. The mean emission of all engine of this type must be less than 20 parts per million of carbon. Ten engines are manufactured for testing purposes, and the emission level of each is determined. The data reveal that the mean is 17.57 and the standard deviation is 2.9522. Do the data supply sufficient evidence to allow the manufacturer to conclude that this type of engine meets the pollution standards? Assume that the manufacturer is willing to risk a Type I error with probability 0.01.

Explanation / Answer

mean emission limit =20 PPM mean observed =17.57 std deviation =2.9522 so the prediction can fall under 17.57-2.9522 to 17.57+2.9552 =(14.55,20.4622) yes the data is sufficient the engine doesnt fall under safety category

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