Usingsoftware,simulatetakingsimplerandomsamplesfromabimodalpopulationdistribu-

tion. (Alternatively,youcanuseanappsuchasthe Sampling DistributionfortheSample Mean(ContinuousPopulation) app at www.artofstat.com/web-apps and selectthebimodal populationdistributionwithshape1.)

(a) Take10,000randomsamplesofsize n = 50 each.Howdoesthesimulatedsamplingdistri-

bution ofsamplemeanscomparetothepopulationdistribution?Whatdoesthisreflect?

(b) Repeatthesimulation,thistimewith n = 2 for eachsample.Whyisthesamplingdistri-

bution of Y not bell-shaped?