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For the Rayleigh distribution: 1a) Determine the most powerful critical region for testing H0 θ=θ0 against...

For the Rayleigh distribution:

1a) Determine the most powerful critical region for testing H0 θ=θ0 against H1 θ=θ11 > θ0) using a random sample of size n.

1b) Find the uniformly most powerful H0 θ<θ0 against H1 θ>θ1

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