4.5.11. Let Y₁ < Y2 < Y3 < Y4 be the order statistics of a random sample of size n = 4 from a distribution with pdf f(x; 0) = 1/0, 0 < x < 0, zero elsewhere, where 0 <0. The hypothesis Ho: 0 = 1 is rejected and H₁0 > 1 is accepted if the observed Y4 > c. (a) Find the constant c so that the significance level is a = 0.05. (b) Determine the power function of the test.

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