In: Math
A professor in the accounting department of a business school claims that there is much more variability in the final exam scores of students taking the introductory accounting course as a requirement than for students taking the course as part of a major in accounting. Random samples of 16 non-accounting majors (group 1) and 15 accounting majors (group 2) are taken from the professor's class roster in his large lecture, and the following results are computed based on the final exam scores:
n1 = 16, S12 = 154.6, n2 = 15, S22 = 48.5
(a) At the 0.05 level of significance, is there evidence to support the professor's claim?
(b) What assumptions do you make here about the two populations in order to justify your use of the F test?