(Answered) Underestimate the true mean

Economics

Question 1: In a two-tailed test, if we underestimate the true mean, then where do we expect the test statistic to be distributed, and why?

Question 2: What is the Power of the Test in a hypothesis test? Would we expect the larger power or smaller power?

Question 3: What is Type II Error? Please show the Power and the Type II Error in a graph with a two-tailed hypothesis test, supposing that your test statistics follows a N(0, 1) distribution, and you underestimate the true mean.

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