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A car manufacturer wants to test a new engine to determine whether it meets new air-pollution standards. The mean emission,u, of all engines of this type must be less than 21 parts per million of carbon.

A sample of 36 engines are tested for the purposes and emission level of each is determined. The data show the following. Sample mean = 19 standard deviation = 4

Do the data supply sufficient evidence to allow the manufacturer to conclude that this type of engines meet the pollution standard? the manufacturer is willing to risk a Type I error with probability a=0/05

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