ECMT1010 Lecture Notes - Lecture 6: Percentile

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C i i statistic i 2 x s e pdisen examples. 1 howmanytimesdoesa personlaughon aday supposethepopulationparameteris average numberoflaughsby a personperdaytoestimatethe parameterh we collectthe number oflaughsin dayforsix people. 6 22 6 622,22 statistic 14 ample 3. Doyouthink it is appropriate to construct a bootstrap confidenceintervalfromthedistribution. Distribution centresaroundthepopulationparameter n the bootstrapdistribution wehavea population thatisgeneratedbymultiplyingthesample finite timestherefore the simulatedpopulation mean issimplythe originalramp6 mean. 16 22 9 316 42 15 23 16 9 21 20 30 whatis thesample mean fortheupdated sample. Bootstrapsamplesizemustbe equalto originalsamplesize or it willeffect s e. It i is the bestestimate of m . Difference in means l pickoutin numberswithreplacementofthe x valves. 2 pick outin numbers with replacementofthe y values. 200 pulserates c i190 goesfrom65. 5 71 8 shesays i 90 ofthestudentsatmy collegehavemeanpulse ratesbetween 655 718hpm hisstatementisincorrect asthe c i tatementaboutthepopulationparameter she should havesaid i9001 certainthattheaveragebpmofallstudentsatthecollegefallsbetween65. 571. 8. L p populationwhohavenoconfidence is notabouttheindividuals in a populationbutrather it is a. 3 counthowmany have no confidence i e if 500werepickedoutwith no confidence thenfirstbootstrapporportion 5 repeatatleast 1000times.

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