Question: Suppose X1, . .., X20 be a random sample from a normal distribution having a variance 100. Plot the power of the likelihood ratio test

Suppose X1, . .., X20 be a random sample from a normal distribution having a variance 100. Plot the power of the likelihood ratio test of Ho : u = 0 against H1 : u # 0 as a function of u, at significance levels (a) 0.1 and 0.05 using ggplot. Do the same for a sample size of 100. Compare the graphs and explain what you conclude. What is the power as / approaches 0

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