Exercise 1. Suppose X1, X, from a norma are unknown. We wish to test the hypotheses Ho: o = 0 vs. %3D at the level a. Show that the likelihood ratio te

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ExP I-nc
Exercise 1.Suppose X1, X, from a normal distribution N(u, o?) where both u and o
are unknown. We wish to test the hypotheses
Ho: o = o% vs. H: o? # o
at the level a. Show that the likelihood ratio test is equivalent to the x? test.
Dr. Asieh Abtahi - Faculty of Mathematics and Statistics-
Islamic Azad University of Shiraz - Iran
26
Transcribed Image Text:ExP I-nc Exercise 1.Suppose X1, X, from a normal distribution N(u, o?) where both u and o are unknown. We wish to test the hypotheses Ho: o = o% vs. H: o? # o at the level a. Show that the likelihood ratio test is equivalent to the x? test. Dr. Asieh Abtahi - Faculty of Mathematics and Statistics- Islamic Azad University of Shiraz - Iran 26
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