Statistics and Probability 4. Let X1,., Xn be a random sample from 3x2 f (x; θ ): ,x > 0 a) Derive the UMPT of size a of Ho:0 = 0, vs H1 = 0 > 8.. b) Derive a 100(1 – a)% confidence interval for 0 using UMP test result that you found in part.

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Statistics and Probability
4. Let X1, ..., Xn be a random sample from
f(x; θ)-
3x?
e,x > 0
a) Derive the UMPT of size a of H,:0 = 0, vs H1 = 0 > 0o.
b) Derive a 100(1 – a)% confidence interval for 0 using UMP test result that you found in
part.
Transcribed Image Text:Statistics and Probability 4. Let X1, ..., Xn be a random sample from f(x; θ)- 3x? e,x > 0 a) Derive the UMPT of size a of H,:0 = 0, vs H1 = 0 > 0o. b) Derive a 100(1 – a)% confidence interval for 0 using UMP test result that you found in part.
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