answer all questions with explanation

Let us have a bivariate data set with a sample size of 5. x= 10 8 7 9 91 Hint: S = 5.7 -0.61 1.3 J a) Test Ho: u' = (6,9) by using Hotelling T2. (F5,2 (0.05) = 19.30 , F2,s(0.05) = 5.79 , F2,3 (0.05) = 9.55) b) Obtain 95 % simultaneous 72 confidence intervals for My, /2 and #1 - Hz. c) Obtain 95 % Bonferroni confidence intervals for /1, M2. (t4 (0.05) = 2.13, t4 (0.0125) = 3.49 , t4(0.00833) = 3.96) )