AccordingtoaGeneralSocialSurvey,intheUnitedStatesthepopulationdistributionof Y = numberofgoodfriends(notincludingfamilymembers)hasameanofabout5.5andastandard deviation ofabout3.9. (a) Isitplausiblethatthispopulationdistributionisnormal?Explain. (b) Ifanewsurveytakesasimplerandomsampleof1000people,describethesampling distribution of Y bygivingits shapeandapproximatemeanandstandarderror. (c) Supposethatactuallythemeanof5.5andstandarddeviationof3.9arenotpopulation
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AccordingtoaGeneralSocialSurvey,intheUnitedStatesthepopulationdistributionof Y =
numberofgoodfriends(notincludingfamilymembers)hasameanofabout5.5andastandard deviation ofabout3.9.
(a) Isitplausiblethatthispopulationdistributionisnormal?Explain.
(b) Ifanewsurveytakesasimplerandomsampleof1000people,describethesampling distribution of Y bygivingits shapeandapproximatemeanandstandarderror.
(c) Supposethatactuallythemeanof5.5andstandarddeviationof3.9arenotpopulation valuesbutarebasedonasampleof1000people.Treatingresultsasasimplerandom sample, giveanintervalofvalueswithinwhichyoucanbeverysurethatthepopulation mean falls.Explainyourreasoning.
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Foundations Of Statistics For Data Scientists With R And Python
ISBN: 9780367748456
1st Edition
Authors: Alan Agresti
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