Let Y1 lessthan Y2 lessthan Y3 lessthan Y4 be the order stat

Let Y\'_1 lessthan Y\'_2 lessthan Y\'_3 lessthan Y\'_4 be the order statistics of a random sample Y_1, Y_2, Y_3, Y_4 of size n=4 from a distribution with pdf f(x;teta) = 1/teta, 0 lessthan x lessthan teta, zero elsewhere, where teta greaterthan 0. The hypothesis H_0:teta=1 is rejected and H_1:teta greaterthan 1 is accepted if the observed Y\'_4 c. Find the constant c so that the significance level is alpha=0.05.

Solution