1. A research assumes that X~N(30,100) = the truth. She takes an SRS of n= 100 and tests at least 5% significance level if the population mean differ from 0 (=hypothesis). Estimate the power of the test. Construct the sampling distribution under the H0, find the critical region. Construct the true sampling distribution and calculate the power.
2. For the picture, my prof. uploaded a powerpoint slide without explanation and I have an exam on this on Monday. I just want someone to explain to me because I will be doing this on my own tomorrow. Thank you
   

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