Question: 10.1.3 Let X 1 , X 2 , X 3 be sample means in three independent samples of sizes n1, n2, 3 , respectively.

10.1.3 Let X 1 , X 2 , X 3 be sample means in three independent samples of sizes n1, n2, " 3 , respectively. Each sample was obtained from the N(p, 02) distribution.

Find the distribution of V1 = (1/3) (XI + x2 + Y3)a nd fi = w l x l + ~ 2 x +2 w3T3, where wi = ni(n1 + 722 + 123).

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