Question: I need assistance with this question on hypothesis testing Let X1,...,Xn be a random sample from the Uniform distribution on (0,6). Based on this sample,
I need assistance with this question on hypothesis testing

Let X1,...,Xn be a random sample from the Uniform distribution on (0,6). Based on this sample, we want to perform a hypothesis test of H0 : 6 = 60 versus H1 : 9 > 60. Our decision rule is to reject H0 in favour of H1 if XW > k, where XW is the sample maximum, and k is a specified positive constant. (a) Show that the probability density function of X01) is risen1N\" for U S a: S 6 a; = fx'\")( ) {0 otherwise. (b) If 60 = 1/2 and the probability of a Type I error is a, find an expression for k as a function of n and a. (c) If the true value of 6 is 3/4, find the smallest value of to required so that the power of this test is at least 0.98 when a = 0.05 and 60 = 1/2
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