# Test Statistics Random Variable with Density Problems

1 (x+02 2 = Problem 2. Let X1, …,Xn be i.i.d. random variables with density f(x) Ho:0 = 0 versus H1:0 = 1. Vētie Consider the test a. Find a test statistic and the form of rejection region under Ho. b. Find the distribution of the statistic in part a. C. Given that X1 = 1,X2 = 3,X3 = -1,X4 = -2, perform the test. Choose one of the following z- scores: Z(0.025) = 1.96, z(0.05) = 1.64, z(0.1) = 1.28

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