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9. Hypothesis Testing for One Sample - Part 1 of 2!
9. Hypothesis Testing for One Sample / Performing Hypothesis Tests: Means / Problem 5
Problem 5

Generate 100100 independent simple random samples of size n=25n=25 from a normal population with mean μ=0\(\mu\)=0 and known standard deviation σ=5\(\sigma\)=5. Perform two-sided tests of H0:μ=0H_0:\(\mu\)=0 versus H1:μ0H_1:\(\mu\]\neq\)0 at a significance level α=0.01\(\alpha\)=0.01. What are the approximate expected number of rejections and the standard deviation of the number of rejections under the null hypothesis?