A major car ürer wants tô tést á ñew engine to determine whether it meets air pollution standards. The mean emission of all engines of this type must be less than 20 ppm of carbon. 10 engines are setup for testing and produce an average emission of 17.57 ppm with a sample standard deviation of 2.95. Can the manufacturer be certain within a level of significance of 0.01 that his engine's average emissions are less than 20 ppm. Use a = 0.01, a. Setup the null and alternate hypothesis b. Choose an appropriate test statistic, fill in the all of the information, and solve for the test statistic. C. Would you reject or not reject Ho, demonstrate why you made your choice. d. Based on your analysis above, can the manufacturer be certain his engines meet the specification? Make an appropriate statement.

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A major car
ürer wants tô tést á ñew engine to determine whether it meets air
pollution standards. The mean emission of all engines of this type must be less than 20 ppm of
carbon. 10 engines are setup for testing and produce an average emission of 17.57 ppm with a
sample standard deviation of 2.95. Can the manufacturer be certain within a level of
significance of 0.01 that his engine's average emissions are less than 20 ppm. Use a = 0.01,
a. Setup the null and alternate hypothesis
b. Choose an appropriate test statistic, fill in the all of the information, and solve for the
test statistic.
C. Would you reject or not reject Ho, demonstrate why you made your choice.
d. Based on your analysis above, can the manufacturer be certain his engines meet the
specification? Make an appropriate statement.
Transcribed Image Text:A major car ürer wants tô tést á ñew engine to determine whether it meets air pollution standards. The mean emission of all engines of this type must be less than 20 ppm of carbon. 10 engines are setup for testing and produce an average emission of 17.57 ppm with a sample standard deviation of 2.95. Can the manufacturer be certain within a level of significance of 0.01 that his engine's average emissions are less than 20 ppm. Use a = 0.01, a. Setup the null and alternate hypothesis b. Choose an appropriate test statistic, fill in the all of the information, and solve for the test statistic. C. Would you reject or not reject Ho, demonstrate why you made your choice. d. Based on your analysis above, can the manufacturer be certain his engines meet the specification? Make an appropriate statement.
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