Hi

i need help with my Multivariate statistical analysis questions and thought if u could help me

Question 2. [14 marks] (1) Random variables T1, T2, T3, T4 are dependent and their mean values are denoted by 1,11, #2, #3414 respectively. Suppose X = (T1, T2, T3, T4)T follow a multivariate normal distribution. Given a random sample (X1, ,Xn), explain how to perform the test: _#2+M3+#4 Hoi1 3 (i) when the sample size n is small, and (ii) when n is large. (You must give details of the test, including the test statistic, distribution of the test statistic and assumptions required for this test.) (2) Now suppose that T1 and T2 are in one group and T3 and T4 in another group. Let X = (T1, T2)T, Y = (T3, T4)T, ,ux and My are respectively the mean vectors ofX and Y. Clearly explain how to test the hypothesis H0: ,ux = ('31- (You must give details of the test, including the test statistic, distribution of the test statistic and assumptions required for this test.)