A random sample of size 2 is drawn from a uniform pdf defined over the interval [0,

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A random sample of size 2 is drawn from a uniform pdf defined over the interval [0, θ]. We wish to test

H0: θ = 2

versus

H1:θ < 2

by rejecting H0 when y1 + y2 ≤ k. Find the value for k that gives a level of significance of 0.05.

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