This is a question regarding Statistics. Calculate and interpret a confidence interval for a population mean. given...

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This is a question regarding Statistics.

Calculate and interpret a confidence interval for a populationmean. given a normal distribution with 1) a known variance2) anunknown population variance

or 3) an unknown variance and a large sample size

when sampling from a normal distribution, why test statistic

no matter small(n<30) or large(n>=30) we choosez-statistic?(please give an example)

Thanks  

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