marks] Let X1.X2, ..., Xn be iid Gamma(3, B). Show that a UMP test of Ho : B = 2 vs Hị : B > 2 exists and rejects Ho if EX; > c for some c. The pdf of the Gamma(a, B) distribution is f(r, a, B) = ra-le==/8.

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[10 marks] Let X1.X2,.., X, be iid Gamma(3, B). Show that a UMP test of
Ho : B = 2 vs
H1 :B > 2
exists and rejects Ho if EXi > c for some c.
The pdf of the Gamma(a, B) distribution is
f(x, a, 3) = -le-2/8.
%3D
Transcribed Image Text:[10 marks] Let X1.X2,.., X, be iid Gamma(3, B). Show that a UMP test of Ho : B = 2 vs H1 :B > 2 exists and rejects Ho if EXi > c for some c. The pdf of the Gamma(a, B) distribution is f(x, a, 3) = -le-2/8. %3D
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