Summary

Saturday, 17 August 2019

8:44 PM

Confidence intervals for the mean: summary The several situations leading to different confidence intervals for the mean can be summarised as follows: The first question is: Is the population normal? (check from a histogram and a quantile plot, for instance) o if yes, is a known ? if yes, use an exact z-confidence interval: if no, use an exact t-confidence interval: o if no, use an approximate large sample confidence interval: R — Zl_u + Zl_Q/2VF (provided the sample size is large, say n 2 40) What if the sample size is small and the population is not normal ? —+ check on a case by case basis (beyond the scope of this course)

 

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