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(d). Let X, X,...,x be a random sample from the Normal(0,0) distribution, 0 >0. Find the uniformly most powerful test for H:0

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9 rét xir Xar. In be a random sample from N(O@) distribuhan, Wila pojas, flercel= vané 26-012 20 2/20 , XEIR - f(NG) = V200 wWe wang to lest, Hoioso vs Hai o> likelihood femelten The di ander to as 2 n/a Lo=621100) é aoo И. 2 We know thaos, llic mireBy likelihood Ralio less the Cest statistic as a - w 822 Lo LI @ 42 e 200 ni 06 e g a- ņ na co e (၉) M2 - е ao co We know thoLeta be the size of lest a thao, x= P(x27k (Ho = pli 70 lo Co where, K Cet Iran k = ces lah Hence, CMP Critical critical regi

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