8.2.7. Let X₁, X2,..., X25 denote a random sample of size 25 from a normal dis-tribution N(0, 100). Find a uniformly most powerful critical region of size a = 0.10for testing Ho: 0= 75 against H₁ : 0> 75.

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Answered: 8.2.7. Let X₁, X2,..., X25 denote a…

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8.2.7. Let X₁, X2,..., X25 denote a random sample of size 25 from a normal dis- tribution N(0, 100). Find a uniformly most powerful critical region of size a = 0.10 for testing Ho: 0= 75 against H₁:0> 75.