Editing Confidence interval (section)

=== Methods of derivation ===
There are many ways of calculating confidence intervals, and the best method depends on the situation. Two widely applicable methods are [[Bootstrapping_(statistics)#Deriving_confidence_intervals_from_the_bootstrap_distribution|bootstrapping]] and the [[Central limit theorem|central limit theorem]].<ref name="Dekking">{{Cite journal |last1=Dekking |first1=Frederik Michel |last2=Kraaikamp |first2=Cornelis |last3=Lopuhaä |first3=Hendrik Paul |last4=Meester |first4=Ludolf Erwin |date=2005 |title=A Modern Introduction to Probability and Statistics |url=https://link.springer.com/book/10.1007/1-84628-168-7 |journal=Springer Texts in Statistics |language=en-gb |doi=10.1007/1-84628-168-7 |isbn=978-1-85233-896-1 |issn=1431-875X}}</ref> The latter method works only if the sample is large, since it entails calculating the sample mean <math>\bar{X}_n</math> and sample standard deviation <math>S_n</math> and assuming that the quantity

: <math>\frac{\bar{X}_n - \mu}{S_n / \sqrt{n}}</math>

is normally distributed, where <math display="inline">\mu</math> and <math>n</math> are the population mean and the sample size, respectively.