Sixteen cars are first driven with a standard fuel and then with Petrocoal, a gasoline with a
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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 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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