INTRO TO STATISTICS- FINAL EXAM
WITH COMPLETE SOLUTIONS
rExplain rwhat rwe rmean rby ra rconfidence rlevel r(exp. r95%) r- rcorrect ranswers r-The
rpercentage rof rintervals, rbased ron rall rpossible rsamples rof rthe rsame rsize rtaken
rfrom rthe rsame rpopulation, rthat rcontain rthe rparameter. r
For rexample, rif rwe rconstruct r100 r95% rconfidence rintervals rusing r100 rsamples rof
rthe rsame rsize, rapproximately r95 rof rthe rintervals rwill rcontain rthe rtrue rparameter
rand r5 rwill rnot.
A rpoint restimate ris rthe rvalue rof ra r_________ rthat restimates rthe rvalue rof ra
r____________ r- rcorrect ranswers r-statistic, rparameter
What rare rthe rtwo rdesirable rcharacteristics rof ran rideal rconfidence rinterval? r- rcorrect
ranswers r-narrow rand rhigh rconfidence rlevel
What ris rthe rbest rpoint restimate rfor rthe rpopulation rproportion? r- rcorrect ranswers r-p
rhat
Type rI rerror r- rcorrect ranswers r-reject rHo rwhen rHo ris rtrue
, Type rII rerror r- rcorrect ranswers r-do rnot rreject rHo rwhen rHo ris rfalse
statistically rsignificant r- rcorrect ranswers r-observed rresults rare runlikely runder rthe
rassumption rthat rthe rnull rhypothesis ris rtrue
random rvariable r- rcorrect ranswers r-assignment rof rnumerical rvalues rto rall routcomes
rof ra rprobability rexperiment
sampling rdistribution r- rcorrect ranswers r-a rprobability rdistribution rfor rall rpossible
rvalues rof ra rstatistic
Two revents rE rand rF rare rindependent rif r- rcorrect ranswers r-occurrence rof revent rE
rdoes rnot raffect rthe rprobability rof revent rF rin rthe rsame rexperiment
T ror rF: rthe rempirical rprobability rof ran revent rE rmay rchange rexperiment rto
rexperiment r- rcorrect ranswers r-True
Classical rProbability r- rcorrect ranswers r-Dividing rnumber rof routcomes rin ran revent
rby rnumber rof rall rpossible routcomes
Requirements rfor rBinomial rRandom rVariable r- rcorrect ranswers r-1. r0, r1, r3, r...n
2. rcounts rof rsuccesses r(must rbe rpositive)
3. rindependent
inferential rstatistics r- rcorrect ranswers r-Samples rto restimate rcharacteristics rof ra
rpopulation
P ror rS: r51.6 r% rof rresidents rof rGarden rCity rare rfemale r- rcorrect ranswers r-
Parameter
P ror rS: rThe raverage rare rof rthe r65 rstudents rin rMs. rHope's rscience rclass ris r21
ryears rand r8 rmonths. r- rcorrect ranswers r-Parameter
P ror rS: rTelephone rinterviews rof r211 remployees rof ra rlarge relectronics rcompany
rfound rthat r65% rwere rdissatisfied rwith rtheir rworking rconditions r- rcorrect ranswers r-
Statistic
P ror rS: rMark rretired rfrom rcompetitive rathletics rlast ryear. rIn rhis rcareer ras ra rsprinter
rhe rhad rcompleted rin rthe r100 rmeter revent ra rtotal rof r328 rtimes. rHis raverage rfor
rthese rraces rwas r10.24 rseconds r- rcorrect ranswers r-Parameter
Factors r- rcorrect ranswers r-- rAny rcombination rof rvalues rof rthe rfactors ris rcalled ra
rtreatment
- rFactors rwhose reffect ron rthe rresponse rvariable rinterests rus rshould rbe rset ra
rpredetermined rlevels r
WITH COMPLETE SOLUTIONS
rExplain rwhat rwe rmean rby ra rconfidence rlevel r(exp. r95%) r- rcorrect ranswers r-The
rpercentage rof rintervals, rbased ron rall rpossible rsamples rof rthe rsame rsize rtaken
rfrom rthe rsame rpopulation, rthat rcontain rthe rparameter. r
For rexample, rif rwe rconstruct r100 r95% rconfidence rintervals rusing r100 rsamples rof
rthe rsame rsize, rapproximately r95 rof rthe rintervals rwill rcontain rthe rtrue rparameter
rand r5 rwill rnot.
A rpoint restimate ris rthe rvalue rof ra r_________ rthat restimates rthe rvalue rof ra
r____________ r- rcorrect ranswers r-statistic, rparameter
What rare rthe rtwo rdesirable rcharacteristics rof ran rideal rconfidence rinterval? r- rcorrect
ranswers r-narrow rand rhigh rconfidence rlevel
What ris rthe rbest rpoint restimate rfor rthe rpopulation rproportion? r- rcorrect ranswers r-p
rhat
Type rI rerror r- rcorrect ranswers r-reject rHo rwhen rHo ris rtrue
, Type rII rerror r- rcorrect ranswers r-do rnot rreject rHo rwhen rHo ris rfalse
statistically rsignificant r- rcorrect ranswers r-observed rresults rare runlikely runder rthe
rassumption rthat rthe rnull rhypothesis ris rtrue
random rvariable r- rcorrect ranswers r-assignment rof rnumerical rvalues rto rall routcomes
rof ra rprobability rexperiment
sampling rdistribution r- rcorrect ranswers r-a rprobability rdistribution rfor rall rpossible
rvalues rof ra rstatistic
Two revents rE rand rF rare rindependent rif r- rcorrect ranswers r-occurrence rof revent rE
rdoes rnot raffect rthe rprobability rof revent rF rin rthe rsame rexperiment
T ror rF: rthe rempirical rprobability rof ran revent rE rmay rchange rexperiment rto
rexperiment r- rcorrect ranswers r-True
Classical rProbability r- rcorrect ranswers r-Dividing rnumber rof routcomes rin ran revent
rby rnumber rof rall rpossible routcomes
Requirements rfor rBinomial rRandom rVariable r- rcorrect ranswers r-1. r0, r1, r3, r...n
2. rcounts rof rsuccesses r(must rbe rpositive)
3. rindependent
inferential rstatistics r- rcorrect ranswers r-Samples rto restimate rcharacteristics rof ra
rpopulation
P ror rS: r51.6 r% rof rresidents rof rGarden rCity rare rfemale r- rcorrect ranswers r-
Parameter
P ror rS: rThe raverage rare rof rthe r65 rstudents rin rMs. rHope's rscience rclass ris r21
ryears rand r8 rmonths. r- rcorrect ranswers r-Parameter
P ror rS: rTelephone rinterviews rof r211 remployees rof ra rlarge relectronics rcompany
rfound rthat r65% rwere rdissatisfied rwith rtheir rworking rconditions r- rcorrect ranswers r-
Statistic
P ror rS: rMark rretired rfrom rcompetitive rathletics rlast ryear. rIn rhis rcareer ras ra rsprinter
rhe rhad rcompleted rin rthe r100 rmeter revent ra rtotal rof r328 rtimes. rHis raverage rfor
rthese rraces rwas r10.24 rseconds r- rcorrect ranswers r-Parameter
Factors r- rcorrect ranswers r-- rAny rcombination rof rvalues rof rthe rfactors ris rcalled ra
rtreatment
- rFactors rwhose reffect ron rthe rresponse rvariable rinterests rus rshould rbe rset ra
rpredetermined rlevels r
