Forapoint estimate ofthemeanofapopulationthatisassumedtohaveanormaldistribution, a datascientistdecidestousetheaverageofthesamplelowerandupperquartilesforthe n = 100 observations,sinceunlikethesamplemean Y , thequartilesarenotaffectedbyoutliers.Evaluate the precisionofthisestimatorcomparedto Y

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Forapoint estimate ofthemeanofapopulationthatisassumedtohaveanormaldistribution, a datascientistdecidestousetheaverageofthesamplelowerandupperquartilesforthe n = 100 observations,sinceunlikethesamplemean ¯ Y , thequartilesarenotaffectedbyoutliers.Evaluate the precisionofthisestimatorcomparedto ¯ Y byrandomlygenerating100,000samplesofsize 100 eachfroma N(0, 1) distribution andcomparingthestandarddeviationofthe100,000 estimates withthetheoreticalstandarderrorof ¯ Y .

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