It is suspected that the variance of the distribution of distances in kilometers that a model new car equipped with a diesel engine runs on 5 liters of fuel is less than the variance of the distance distribution covered by the same model equipped with a 6-cylinder gasoline engine, which is known to be 2 = 6.25. Yes 72 test runs with the diesel model have a variance of 4.41, can we conclude, at a significance level of 0.05, that the variance of the distances traveled by the model that runs on diesel is less than that of the model that runs on gasoline? Suppose the data come from a population that is Normally distributed. Consider in your answer the - calculation of the test. enter image description here
The teacher say my method is wrong. Is she right?