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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...

  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.
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