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Sixteen cars are first driven with a standard fuel and then with Petrocoal, a gasoline with a methanol additive. The results of the nitrous oxide

Sixteen cars are first driven with a standard fuel and then with Petrocoal, a gasoline with a methanol additive. The results of the nitrous oxide emissions (NOX) test are as follows:

Type of fuel

Average NOX

Standard deviation of NOX

Standard

1.075

0.5796

Petrocoal

1.159

0.6134

Source: Michael O. Finkelstein and Bruce Levin, Statistics for Lawyers, Springer-Verlag, New York, 1990, p. 230.

a. How would you test the hypothesis that the two population standard deviations are the same?


b. Which test did you use? What are the assumptions underlying that test?

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