TheCentralLimitTheoremimpliesthat (a) Allvariableshaveapproximatelybell-shapedsampledatadistributionsifarandomsample containsatleastabout30observations. (b) Populationdistributionsarenormalwheneverthepopulationsizeislarge. (c) Forlarge random samples,thesamplingdistributionof Y is approximatelynormal,re- gardless of theshapeofthepopulationdistribution. (d)

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TheCentralLimitTheoremimpliesthat

(a) Allvariableshaveapproximatelybell-shapedsampledatadistributionsifarandomsample containsatleastabout30observations.

(b) Populationdistributionsarenormalwheneverthepopulationsizeislarge.

(c) Forlarge random samples,thesamplingdistributionof Y is approximatelynormal,re-
gardless of theshapeofthepopulationdistribution.

(d) Thesamplingdistributionof Y looksmorelike the populationdistributionasthesample size increases.

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