Question: Could you please guide on how to approach this confidence interval review problem? Thank you! Let U 1 , U 2 , , U n

Could you please guide on how to approach this confidence interval review problem? Thank you!

Let U₁, U₂, , U_n be i.i.d observations from Uniform(0, ), where > 0 is unknown. Suppose U₍₁₎= min{U₁, U₂, , U_n} and U_(n) = max{U₁, U₂, , U_n}. Show that for any (0, 1),

(U₍₁₎, ^-1/nU_(n))

is a (1 ) level confidence interval for .

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