Statistical Sciences 1024A/B Chapter Notes - Chapter 16: Confidence Interval, Statistical Parameter, Standard Scale
20 Apr 2017
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Simple conditions for inference about a mean: we have an srs from the population of interest. There is no nonresponse or other practical difficulty: the variable we measure has an exactly normal distribution in the population, we do(cid:374)"t k(cid:374)ow the populatio(cid:374) (cid:373)ea(cid:374) . But we do know the population standard deviation . That is, the confidence level is the success rate for the mathod. In repeated sampling from the pulation, 95% of the confidence intervals will capture the population parameter . 5% will not: there is no way of knowing if a confidence interval from a single sample is one of the. 95% that captures or one of the 5% that did not: with 95% confidence, we can say that will lie within our interval, a 95% confidence interval for the population mean is:
