A professor claims that exam scores for non-accounting majors are more variable than for accounting majors. Random samples of 30 non-accounting majors and 30 accounting majors are taken from a final exam. Test at the 1% level the null hypothesis that the two population variances are equal against the alternative that the true variance is higher for the non-accounting majors. Assume the populations are normally distributed. For the non-accounting group, the sample variance was 1654.008, whereas for the accounting group, it was 409.002. Test the null hypothesis that the two population variances are equal against the alternative that the true variance is higher for the high-expertise group.