Question: and the s are constants adding to zero, determine (with respect to a suitable group leaving the problem invariant) (i) a UMP invariant test of

and the α’s are constants adding to zero, determine (with respect to a suitable group leaving the problem invariant)

(i) a UMP invariant test of H : α1 =···= αa;

(ii) a UMP invariant test of H : ξ1 =···= ξa = 0 (ξi = μ + αi);

(iii) a test of H : σ2 B/σ2 ≤ δ which is both UMP invariant and UMP unbiased.

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