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    Me again.

    I've found lecture notes online which provides another more intuitive method on the Neyman-Pearson lemma which gives me the same answer. All is good until I get to the summation bit. I get correctly that:

     \sum\limits_{i=1}^n 2(u_0)^2 = 2n(u_0)^2

    But I'm struggling with why:

      \sum\limits_{i=1}^n 2(u_0)X_i = 2n(u_0)\bar{X_i}

    Any help would be appreciated
 
 
 

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