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X1, X2, ..., X, is a random sample from
f (x) = 0e-0x
x > 0
To test Ho : 0 =
Oo versus H, : 0 ± 00
(a) Derive the likelihood ratio, A
(b) Find –2 In(A) = 2 e(ô) – e(0)|
where l(0) is the log likelihood evaluated at 0.

Image Transcription

X1, X2, ..., X, is a random sample from f (x) = 0e-0x x > 0 To test Ho : 0 = Oo versus H, : 0 ± 00 (a) Derive the likelihood ratio, A (b) Find –2 In(A) = 2 e(ô) – e(0)| where l(0) is the log likelihood evaluated at 0.

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