STATISTICS 4M03/6M03: Test #2

20 November 2003

Students may bring and use any calculators, tables, books or notes.

Text problems are from Srivastava, Methods of Multivariate Statistics.

[8]    1.      Text Problem 2.9.10, pages 51-52.

[11]  2.      Text Problem 2.9.25, pages 54-55.

[8]    3.      Text Problem 4.9.1, page 144.

[8]    4.      Apply the multivariate test derived in Problem 4.9.1 to the following 5 bivariate observations, with C = (1, -1) and m0 = (m0, m0)'. Show that the result is the same as doing a 2-sided paired t-test to compare the mean of A with the mean of B.

                                    A:        12        23        8          15        25

                                    B:        9          21        9          17        21