Statistical Sciences 2244A/B Chapter Notes - Chapter 14, 15, 17: Central Limit Theorem, Statistical Inference, Confidence Interval

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Statistical inference: provides methods for drawing conclusions about population from sample data: confidence intervals and tests of significance. Simple conditions for inference about a mean: we have an srs from the population of interest. There is no non response or other practical difficulty: the variable we measure has a perfectly normal distribution n(, ) in the population, we don"t know the population mean but we do know the population standard deviation. **may not exaccctly have to be these rules to utilize some analysis procedures for the sake of practicality. 95% confidence interval or 131. 1 to 133. 9 indicates, that we are 95% sure the mean lies within this interval. Otherwise known as the margin of error (for sampling distribution): We can never be 100% sure unless we actually test the entire population. We say we are 95% confident that the unknown value of lies between (lower limit of interval and upper limit of interval) .

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