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Flipped Notes: Mr. Reid's video 6.2-D and 6.2-Cl Confidence Intervals for a Population Mean using Formulas and Theoretical Distributions First - recall what we had with a proportion with an example: In a sample of 250 patients trying a new antidepressant, 55 experienced headaches as a side effect during the first couple of weeks. Using formulas and not simulation, construct and interpret the

`99%`

confidence interval estimate for the population proportion of patients who will experience the side effect of headaches. NOW- How to construct a confidence interval for a mean? How large of a sample size is needed to make the distribution normal? (can't bootstrap and see it) Central Limit Theorem - uses a guide of 30 as the cutoff. We need a sample size of at least 30. Where is the center? Standard error: Formula: