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Quantitative Research Techniques Statistics Peregrine Exam Questions and Answers Graded A+, Exams of Nursing

University of Iowa (UI)Nursing

Quantitative Research Techniques Statistics Peregrine Exam Questions and Answers Graded A+ This document includes high-quality, graded A+ questions and answers for the Quantitative Research Techniques and Statistics section of the Peregrine Exam. Topics covered include statistical analysis, hypothesis testing, data interpretation, probability, and quantitative research methods. The material is specifically tailored for business and academic assessments, making it ideal for students aiming for top scores.

Typology: Exams

2024/2025

Available from 06/12/2025

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Nurseexcel 🇺🇸

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Quantitative Research Techniques + Statistics – Peregrine Exam
Questions and Answers Graded A+
1. Avcompanyvdevelopedvavsmartphonevwhosevaveragevlifetimevisvunknown.vInvordervtovesti
matevthevaverage,v200vsmartphonesvarevrandomlyvselectedvfromvavlargevproductionvlinevan
dvtested;vtheirvaveragevisvfoundvtovbev5vyears.vThev200vsmartphonesvrepresent::vavsample
2. Significancevlevel:vMeasuresvthevreliabilityvofvavstatisticalvinference
3. inferentialvstatistics:vProcessvofvusingvsamplevstatisticsv(mathematics)vtovdrawvconclusio
nsvaboutvpopulationvparameters
4. mutuallyvexclusive:vEventsvthatvcannotvoccurvatvthevsamevtime.
5. samplingverror:vthevdifferencevbetweenvthevresultsvofvrandomvsamplesvtakenvatvthevsamevt
ime
6. non-
samplingverror:voccursvwhenvthevsamplevdatavarevincorrectlyvcollected,vrecorded,vorvanalyze
d.vThreevtypesvofverrors:vdatavacquisitionverrors,vnon-responseverrorsv(orvbias),vselectionvbias
7. Designvofvavgoodvsurveyvcomponents:vshortvsurvey,vshort/simplevquestions,vstartvwithvd
emographicvquestions,vuesvdichtomousv(yes-no)vandvmultiplevchoice
8. Directvobservation:vexample:vcountsvbackpacksvonvcampusvforvavday
9. stratifiedvrandomvsample:vavsamplevfromvselectedvsubgroupsvofvthevtargetvpopulationv
invwhichveveryonevinvthosevsubgroupsvhasvanvequalvchancevofvbeingvincludedvinvthevresear
ch
example:vThevmanagervofvavcustomervservicevdivisionvwantsvtovknowvifvthevcustomersvinvthevpastv1
2vmonthsvarevsatisfiedvwithvtheirvpurchasevofvCD's.vTherevarevfourvtypesvofvCD's.
10. JointvProbability:vthevprobabilityvofvthevintersectionvofvtwovevents
11. Unionvofvtwovevents:vThevunionvofveventsvAvandvBvisvtheveventvcontainingvallvsamplevpoin
tsvthatvarevinvAvorvBvorvboth
12. MarginalvProbability:vthevprobabilityvofvavsingleveventvwithoutvconsiderationvofvanyvotherv
event
13. ConditionalvProbability:vthevlikelihoodvthatvavtargetvbehaviorvwillvoccurvinvavgivenvcirc
pf3
pf4
pf5

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Quantitative Research Techniques + Statistics – Peregrine Exam

Questions and Answers Graded A+

  1. Avcompanyvdevelopedvavsmartphonevwhosevaveragevlifetimevisvunknown.vInvordervtovesti matevthevaverage,v 200 vsmartphonesvarevrandomlyvselectedvfromvavlargevproductionvlinevan dvtested;vtheirvaveragevisvfoundvtovbev 5 vyears.vThev 200 vsmartphonesvrepresent::v avsample
  2. Significancevlevel:v Measuresvthevreliabilityvofvavstatisticalvinference
  3. inferentialvstatistics:v Processvofvusingvsamplevstatisticsv(mathematics)vtovdrawvconclusio nsvaboutvpopulationvparameters
  4. mutuallyvexclusive:v Eventsvthatvcannotvoccurvatvthevsamevtime.
  5. samplingverror:v thevdifferencevbetweenvthevresultsvofvrandomvsamplesvtakenvatvthevsamevt ime
  6. non- samplingverror:v occursvwhenvthevsamplevdatavarevincorrectlyvcollected,vrecorded,vorvanalyze d.vThreevtypesvofverrors:vdatavacquisitionverrors,vnon-responseverrorsv(orvbias),vselectionvbias
  7. Designvofvavgoodvsurveyvcomponents:v shortvsurvey,vshort/simplevquestions,vstartvwithvd emographicvquestions,vuesvdichtomousv(yes-no)vandvmultiplevchoice
  8. Directvobservation:v example:vcountsvbackpacksvonvcampusvforvavday
  9. stratifiedvrandomvsample:v avsamplevfromvselectedvsubgroupsvofvthevtargetvpopulationv invwhichveveryonevinvthosevsubgroupsvhasvanvequalvchancevofvbeingvincludedvinvthevresear ch example:vThevmanagervofvavcustomervservicevdivisionvwantsvtovknowvifvthevcustomersvinvthevpastv 1 2 vmonthsvarevsatisfiedvwithvtheirvpurchasevofvCD's.vTherevarevfourvtypesvofvCD's.
  10. JointvProbability:v thevprobabilityvofvthevintersectionvofvtwovevents
  11. Unionvofvtwovevents:v ThevunionvofveventsvAvandvBvisvtheveventvcontainingvallvsamplevpoin tsvthatvarevinvAvorvBvorvboth
  12. MarginalvProbability:v thevprobabilityvofvavsingleveventvwithoutvconsiderationvofvanyvotherv event
  13. ConditionalvProbability:v thevlikelihoodvthatvavtargetvbehaviorvwillvoccurvinvavgivenvcirc

umstance

  1. BayesvLaw:v calculatesvposteriorvprobability
  2. exhaustive:v includingveverythingvpossible;vveryvthoroughvorvcomplete
  3. CentralvLimitvTheoremv(CLT):v Thevnamevofvthevtheoremvstatingvthatvthevsam- vplingvdistributionvofvavstatisticv(e.g.vxv)visvapproximatelyvnormalvwhenevervthevsamplevisvlargevan dvrandom.vAllowsvusvtovdrawvconclusionsvaboutvthevpopulationvbasedvonvstrictlyvsamplevdata.
  4. samplingvdistributionvofvthevmean:v 1.vthevsamplingvdistributionvofvthevmeanvhasvavdiffer entvmeanvfromvthevoriginalvpopulation
  5. thevstandardvdeviationvofvthevsamplingvdistributionvofvthevmeanvisvreferredvtovas

hevfinitevpopulationvcorrectionvfactor

  1. Invavsamplevproportion,vrepresentedvbyvpv=vx/n,vwhatvdoesvXvrefervto?:v #vofvsuccessesvinv thevsample
  2. Thevbranchesvinvavdecisionvtreevarevequivalentvto:v eventsvandvacts
  3. Whatvisvneededvtovcomputevposteriorvprobabilities?:v ThevsumvofvallvthevP(sjvandvli)'s,vlike lihoodvprobabilities,vpv(li/sj)
  1. doingvinferentialvstatistics.:v Thevprocessvofvusingvsamplevstatisticsvtovdrawvconclusio nsvaboutvpopulationvparametersvisvcalled
  2. Thevconfidencevlevel:v measuresvthevproportionvofvtimesvanvestimationvproce- vdurevwillvbevcorrectvinvthevlongvrun
  3. Parameter:v avsummaryvmeasurevthatvisvcomputed
  4. samplevspace:v thevsetvofvallvpossiblevoutcomesvofvavprobabilityvexperiment
  5. priorvprobabilities:v initialvestimatesvofvthevprobabilitiesvofvevents
  6. thevstandardverrorvofvthevsamplevmean:v standardvdeviationvofvthevdistributionvofvthevsam plevmeansv,vStandardvdeviation/sqvrtv(populationvsize)
  7. BusinessvStatistics:v thevcollection,vsummarization,vanalysis,vandvreportingvofvnumerical vfindingsvrelevantvtovavbusinessvdecisionvorvsituation
  8. descriptivevstatistics:v usesvgraphicalvorvnumericalvtechniquesvtovsummarizevandvprese ntvdata
  9. mean:v average
  10. measurevofvvariability:v howvcloselyvscoresvbunchvupvaroundvthevcentralvpoint;vavstatisticv thatvindicatesvthevspreadvofvdistribution
  11. range:v thevdifferencevbetweenvthevhighestvandvlowestvscoresvinvavdistribution
  12. Median:v thevmiddlevscorevinvavdistribution;vhalfvthevscoresvarevabovevitvandvhalfvarevbelowvi t
  13. Mode:v thevmostvfrequentlyvoccurringvscore(s)vinvavdistribution
  14. Variance:v thevaveragevofvthevsquaredvdeviationsvfromvthevmean
  15. standardvdeviation:v thevsquarevrootvofvthevvariancevandvprovidesvavmeasurevofvthevstandar d,vorvaverage,vdistancevfromvthevmean
  16. Threevconceptsvthatvavstatisticalvinferencevproblemvcontains:v thevpopula- vtion,vthevsample,vandvthevstatisticalvinference
  17. Parameter:v avdescriptivevmeasurevofvavpopulation
  18. statistic:v avnumbervthatvdescribesvavsample
  19. statisticalvinference:v processvofvmakingvanvestimate,vprediction,vorvdecisionvaboutvavp opulationvbasedvonvavsample
  20. confidencevlevel:v Proportionvofvtimesvthatvanvestimatingvprocedurevwillvbevcorrect
  21. Confidencevlevelv+vsignificancevlevel:v =v 1

nevorvtovboth

  1. clustervsampling:v randomvsamplevofvthevgroupsvorvclustersvofvelementsvversusvavsimplevra ndomvsamplevofvindividualvobjects
  2. Probabilityvofvanyvoutcomevmustvbevbetween:v 0 vandv 1
  3. Sumvofvallvprobabilitiesvmustvequal:_____________ 1
  4. Threevapproachesvtovassigningvprobability:v classicalvapproach,vrelativevfre- vquencyvapproach,vsubjectivevapproach
  5. ClassicalvApproachvtovProbability:v associatedvwithvgamesvofvchance.vIfvanvexperimentvh asvNvpossiblevoutcomes,vthisvmethodvwouldvassignvprobabilityvofv1/nvtoveachvcustomer.vForvexa mple,vthevprobabilityvofvavheadsvandvtailsvinvthevflipvofvavcoinvarevequalvtoveachvother.vBecausevt hevsumvmustvbev1,vthevprobabilityvisv1/2,vorv1/6vforvavdice.
  6. relativevfrequencyvapproachvtovprobability:v definesvprobabilityvasvthevlongvrunvfrequenc yvinvwhichvsomethingvoccurs.vExample:vthevlastv 1000 vstudentsvtookvavcourse,v 200 vgotvanvA.vTh evrelativevfrequencyvisv20%v-vestimatevofvstudentsvthatvwillvgetvanvA
  7. subjectivevapproachvtovprobability:v thevprobabilityvisvobtainedvonvthevbasisvofvpersonalvju dgement;voftenvthevonlyvmethodvofvassigningvlikelihoodvtovanvoutcome;veducatedvguessvbase dvonvknowledgevavailable
  8. unionvofvtwovevents:v Givenvbyvthevoutcomesvthatvbelongveithervtovovevents.
  9. calculatevconditionalvProbability:v Pv(A1/B2)
  10. ComplementvProbability:v eventvthatvoccursvwhenvAvdoesvnotvoccur.vP(A)v+vP(Ac)v=v 1
  11. multiplicationvrule:v Tovdeterminevthevprobability,vwevmultiplyvthevprobabilityvofvonevevent vbyvthevprobabilityvofvanother.
  12. AdditionvRulevofvProbability:v P(AvorvB)v=vP(A)v+vP(B)v-vP(AB)
  13. standardverror:v thevstandardvdeviationvofvavsamplingvdistribution
  14. Complementvofvanvevent: