Let X1 X2.Xn be iid N(01,02). Show that the likelihood ratio principle for testing Ho: 02=...

 

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Let X1 X2.Xn be iid N(01,02). Show that the likelihood ratio principle for testing Ho: 02= 0'2 specified, and 01 unspecified, against H1: 02+ 0'2, 0 unspecified, leads to a test that rejects when E(x;-(x-bar))2 <cq or E(x;-(x-bar))2 2c2, where c1< c2 are selected appropriately. Let X1 X2.Xn be iid N(01,02). Show that the likelihood ratio principle for testing Ho: 02= 0'2 specified, and 01 unspecified, against H1: 02+ 0'2, 0 unspecified, leads to a test that rejects when E(x;-(x-bar))2 <cq or E(x;-(x-bar))2 2c2, where c1< c2 are selected appropriately.

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Given that X1X2X3X beiid N6O2 H 0 0 verses H 0 0 Where 6 is a fixed postive real numberIn ... View the full answer