Please assist in this homework practical. Please also provide full explanations and working out for extra practice.

This question does not required any software. 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 i, the blood pressure vector is denoted by 3:1- : (ml-,1, . . . Jam)? We assume that the observations are independent and each observation 331 = (3:511, . . . , 2:1,\")1 comes from a multivariate normal dis- tribution N14(,u,2), where p; = (#1,. . . \"our and the covariance matrix X] are unknown. The observations can be arranged in a matrix form as 11711 371,14 3330; ' ' ' 1330,14 We want to test the hypothesis H01 1=2= ---=#14, where at represents mean blood pressure on day t after taking the drug. (a) Explain why ANOVA is generally NOT appropriate for test- ing the hypothesis H0 (b) Clearly explain how to test Hg. 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% signicance level. (c) Design a statistical test for testing the new null hypothesis H0 : n1 : mpg : 0.2m, : .. . : (113nm, 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