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...Chapter thecentrallimittheorem the central limit theorem student learning objectives bytheendofthischapter thestudentshouldbeableto recognizethecentrallimittheoremproblems classify continuous word problems by their distributions applyandinterpretthecentrallimittheoremforaverages applyandinterpretthecentrallimittheoremforsums introduction whatdoesitmeantobeaverage whyarewesoconcernedwithaverages tworeasonsarethattheygive us a middle ground for comparison and they are easy to calculate in this you will study averages andthecentrallimittheorem cltforshort isoneofthemostpowerfulandusefulideasinallofstatistics both alternatives concerned with drawing nite samples of size n from population known mean standard deviation rst alternative says that if we collect is large enough each sample s create histogram those means then resulting tend have an approximate normal bell shape second again sum ineithercase itdoesnotmatterwhatthedistributionoftheoriginalpopulationis orwhetheryoueven needtoknowit ...