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Question 1 Suppose x, = 1,2,3 has independent N(u,, 1) distributions such that 2, = , = 3u. Let 1 (2g + З23)?; q2 — k(3ӕ, — 2

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Bolution: QUetion Gven that ,) X1 tct 3 11g NOCD I, +3T3 ) 3 NN 10 N(am, ) VIO x2 Thus 지t 3x3 VIO centraiy parameter (mcn of(11) tlese (I-7) 9.8 sN(,) N (m,1) N N (- Va Hence degmre of fseedom is one and 2 4 NOCO ma 4 93/P F = M2 4 Hence Ratio indep

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