Question: need help with question? Problem 3: [20pts] Let X be a single observation from a Cauchy(0) distribution which means that X - 0 follows a

need help with question?

need help with question? Problem 3: [20pts] Let X be a single

Problem 3: [20pts] Let X be a single observation from a Cauchy(0) distribution which means that X - 0 follows a standard Cauchy distribution. Consider the testing problem Ho : 0 2. If a test rejects Ho if and only if X 2 1, calculate the power function, size and power of the test

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