Toinvestigatehow ¯y can varyfromsampletosampleofsize n, forthesimulationfrom a bell-shapedpopulationshownattheendof Section 1.5.3, take

(a) 10,000 random samples ofsize n = 30 each;

(b) 10,000 randomsamplesofsize n = 1000 each.In eachcase,formahistogramofthe10,000 ¯y valuesandfindtheirstandarddeviation.

Compare resultsandexplainwhatthissimulationrevealsabouttheimpactofsample size onhowstudyresultscanvary.(Chapter 3 showsthatinsamplingfromapopulation with standarddeviation16,thetheoreticalstandarddeviationof ¯y valuesis 16~

º

n.)