In order to assess the effectiveness of a particular drug for blood pres- sure stabilisation, a multivariate random sample has been obtained from 30 patients. For each patient, the blood pressure measurements were taken across 14 consecutive days, and a blood pressure vector with 14 elements has been formed. For individual , the blood pressure vector is denoted by Ti = (Ti,1, . .., i,14) . We assume that the observations are independent and each observation , = (Ti,1, . ..,Xi,14) comes from a multivariate normal dis- tribution N14(u, E), where u = (#1, . .., /14) and the covariance matrix E are unknown. The observations can be arranged in a matrix form as T1.1 C1,14 X = C30.1 C30,14 We want to test the hypothesis Ho : /1 = /2 = . . . = /14, where it represents mean blood pressure on day t after taking the drug. (a) [3 marks] Explain why ANOVA is generally NOT appropriate for test- ing the hypothesis Ho (b) [4 marks] Clearly explain how to test Ho. In your answer, you need to include: assumptions made, test statistic and how do you decide to reject or retain the null hypothesis. Use a = 5% significance level. (c) [4 marks] Design a statistical test for testing the new null hypothesis Ho : /1 = a/2 = a /3 = ...= au14, where a is a known constant. In your answer you MUST specify clearly the test statistic, the distribu- tion of the test statistic and decision rule