Suppose that one observation from the exponential pdf, f Y (y) e y , y 0, is to be used to test H 0 1 versus H 1 1 The decision rule calls for the null hypothesis to be rejected if y ln 10 Find as a function of

Question: Suppose that one observation from the exponential pdf, f Y (y) = e y , y > 0, is to be used to test

Suppose that one observation from the exponential pdf, f_Y(y) = λ_e^−λy, y > 0, is to be used to test H₀: λ = 1 versus H₁: λ < 1. The decision rule calls for the null hypothesis to be rejected if y ≥ ln 10. Find β as a function of λ.

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