Question: Show that for a random sample X1,..., Xn from a n(0, Ï2) population, the most powerful test of H0 : Ï = Ï0 versus H1:

Show that for a random sample X1,..., Xn from a n(0, σ2) population, the most powerful test of H0 : σ = σ0 versus H1: σ = σ1 , where σ0
Show that for a random sample X1,..., Xn from a

For a given value of a, the size of the Type I Error, show how the value of c is explicitly determined.

1 if Ex2> c 2

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