Question: Stat question : (x+0)2 Problem 2. Let X1, ..., Xn be i.i.d. random variables with density f (x) = 1 V2IT e 2 . Consider

Stat question :

(x+0)2 Problem 2. Let X1, ..., Xn be i.i.d. random variables with density f (x) = 1 V2IT e 2 . Consider the test Ho: 0 = 0 versus H1:0 = 1. 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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