[EX09-140] A car manufacturer claims that the miles per gallon for a certain model has a mean equal to 40.5 miles with a standard deviation equal to 3.5 miles. Use the following data, obtained from a random sample of 15 such cars, to test the hypothesis that the standard deviation differs from 3.5. Use   0.05. Assume normality. 37.0 38.0 42.5 45.0 34.0 32.0 36.0 35.5 38.0 42.5 40.0 42.5 35.0 30.0 37.5

a. Solve using the p-value approach.

b. Solve using the classical approach.