Answer to Question #194516 in Statistics and Probability for FaynuseD

Question

A random sample X1, X2 is drawn from a uniform distribution on the interval [0, θ]. We wish to test H0 : θ = 1 against H1 : θ < 1 by rejecting H0 if X1 + X2 ≤ c for some critical value c ≥ 0. (a) Find the cumulative distribution function of X1 + X2 assuming that H0 is true. [9] (b) Find the value of c and the critical region that correspond to a level of significance 0.05. Give your answer in 3 decimal places.

Answer 1

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