Construct a populationdistributionthatisplausiblefor Y = numberofalcoholicdrinksinthe past day.

(a) Simulateasinglerandomsampleofsize n = 1000 from thispopulationtoreflectresults of atypicalsamplesurvey.Summarizehowthesamplemeanandstandarddeviation resemblethoseforthepopulation.(Alternatively,youcandothisandpart(b)usingan app, suchasthe Sampling DistributionfortheSampleMean(DiscretePopulation) app at www.artofstat.com/web-apps using the Build CustomDistribution option.)

(b) Nowdraw10,000randomsamplesofsize1000each,toapproximatethesamplingdistri-

bution of Y . Reportthemean and standarddeviationofthissimulatedsamplingdistri-

bution, andcomparetothetheoreticalvalues.Explainwhatthissamplingdistribution represents.