Exam (elaborations)
BMAL-590 Quantitative Research Exam Questions and Answers
BMAL-590 Quantitative Research Exam Questions and Answers
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BMAL-590 Quantitative Research Exam
Questions and Answers
What iiIs iiStatistics? ii- iiAnswers ii-"Statistics iiis iia iiway iito iiget iiinformation iifrom iidata."
Statistics iiis iia iitool iifor iicreating iinew iiunderstanding iifrom iia iiset iiof iinumbers.
You iineed iidata iiand iiinformation
descriptive iistatistics ii- iiAnswers ii-one iiof iitwo iibranches iiof iistatistics iiwhich iifocuses iion
iimethods iiof iiorganizing, iisummarizing, iiand iipresenting iidata iiin iia iiconvenient iiand
iiinformative iiway.
One iiform iiof iidescriptive iistatistics iiuses iigraphical iitechniques iiwhich iiallow iistatistics
iipractitioners iito iipresent iidata iiin iiways iithat iimake iiit iieasy iifor iithe iireader iito iiextract
iiuseful iiinformation.
Another iiform iiof iidescriptive iistatistics iiuses iinumerical iitechniques iito iisummarize iidata.
iiRather iithan iiproviding iithe iiraw iidata, iithe iiprofessor iimay iionly iishare iisummary iidata
iiwith iithe iistudent.
Histogram ii- iiAnswers ii-(or iibar iigraph) iican iishow iiif iithe iidata iiis iievenly iidistributed
iiacross iithe iirange iiof iivalues, iiif iiit iifalls iisymmetrically iifrom iia iicenter iipeak ii(normal
iidistribution), iiif iithere iiis iia iipeak iibut iithe iimore iiof iithe iidata iifalls iion iione iiside iiof iithe
iipeak iithan iithe iiother ii(a iiskewed iidistribution), iior iiif iithere iiare iitwo iior iimore iipeaks iiin
iithe iidata ii(bi- iior iimulti-modal).
average ii- iiAnswers ii-mean
range ii- iiAnswers ii-calculated iiby iisubtracting iithe iismallest iinumber iifrom iithe iilargest.
mode ii- iiAnswers ii-the iimost iifrequently iioccurring iiscore(s) iiin iia iidistribution
variance ii- iiAnswers ii-the iiaverage iisquared iideviation iifrom iithe iimean
Standard iideviation ii- iiAnswers ii-the iisquare iiroot iiof iithe iivariance iiand iigets iithe
iivariability iimeasure iiback iito iithe iisame iiunits iias iithe iidata. iiStandard iideviation iihas
iimany iiuseful iiproperties iiwhen iithe iidata iiis iinormally iidistributed
,inferential iistatistics ii- iiAnswers ii-a iibody iiof iimethods iiused iito iidraw iiconclusions iior
iiinferences iiabout iicharacteristics iiof iipopulations iibased iion iisample iidata.
Exit iipolls iiare iia iivery iicommon iiapplication iiof iistatistical iiinference.
Statistical iiinference iiproblems iiinvolve iithree iikey iiconcepts: ii- iiAnswers ii-population,
iithe iisample, iiand iithe iistatistical iiinference.
Population: ii- iiAnswers ii-the iigroup iiof iiall iiitems iiof iiinterest iito iia iistatistics iipractitioner.
iiIt iiis iifrequently iivery iilarge iiand iimay, iiin iifact, iibe iiinfinitely iilarge. iiIn iithe iilanguage iiof
iistatistics, iipopulation iidoes iinot iinecessarily iirefer iito iia iigroup iiof iipeople. iiIt iimay, iifor
iiexample, iirefer iito iithe iipopulation iiof iidiameters iiof iiball iibearings iiproduced iiat iia iilarge
iiplant. ii
A iidescriptive iimeasure iiof iia iipopulation iiis iicalled iia iiparameter. iiIn iimost iiapplications
iiof iiinferential iistatistics, iithe iiparameter iirepresents iithe iiinformation iiwe iineed.
Sample ii- iiAnswers ii-a iiset iiof iidata iidrawn iifrom iithe iipopulation. iiA iidescriptive
iimeasure iiof iia iisample iiis iicalled iia iistatistic. iiWe iiuse iistatistics iito iimake iiinferences
iiabout iiparameters.
statistical iiinference ii- iiAnswers ii-the iiprocess iiof iimaking iian iiestimate, iiprediction, iior
iidecision iiabout iia iipopulation iibased iion iisample iidata. iiBecause iipopulations iiare
iialmost iialways iivery iilarge, iiinvestigating iieach iimember iiof iithe iipopulation iiwould iibe
iiimpractical iiand iiexpensive. iiIt iiis iifar iieasier iiand iicheaper iito iitake iia iisample iifrom iithe
iipopulation iiof iiinterest iiand iidraw iiconclusions iior iimake iiestimates iiabout iithe
iipopulation iion iithe iibasis iiof iiinformation iiprovided iiby iithe iisample. iiHowever, iisuch
iiconclusions iiand iiestimates iiare iinot iialways iigoing iito iibe iicorrect. iiFor iithis iireason,
iiwe iibuild iiinto iithe iistatistical iiinference iia iimeasure iiof iireliability. ii
There iiare iitwo iisuch iimeasures, iithe iiconfidence iilevel iiand iithe iisignificance iilevel. iiThe
iiconfidence iilevel iiis iithe iiproportion iiof iitimes iithat iian iiestimating iiprocedure iiwill iibe
iicorrect. iiWhen iithe iipurpose iiof iithe iistatistical iiinference iiis iito iidraw iia iiconclusion
iiabout iia iipopulation, iithe iisignificance iilevel iimeasures iihow iifrequently iithe iiconclusion
iiwill iibe iiwrong iiin iithe iilong iirun.
Statistical iiinference iiis iithe iiprocess iiof iimaking iian iiestimate, iiprediction, iior iidecision
iiabout iia iipopulation iibased iion iia iisample.
What iican iiwe iiinfer iiabout iia iiPopulation's iiParameters iibased iion iia iiSample's
iiStatistics? ii- iiAnswers ii-Since iistatistical iiinference iiinvolves iiusing iistatistics iito iimake
iiinferences iiabout iiparameters, iiwe iican iimake iian iiestimate, iiprediction, iior iidecision
iiabout iia iipopulation iibased iion iisample iidata. iiWe iican iiapply iiwhat iiwe iiknow iiabout iia
iisample iito iithe iilarger iipopulation iifrom iiwhich iiit iiwas iidrawn!
, Confidence iilevel ii- iiAnswers ii-the iiproportion iiof iitimes iithat iian iiestimating iiprocedure
iiwill iibe iicorrect. iiA iiconfidence iilevel iiof ii95% iimeans iithat iiestimates iibased iion iithis
iiform iiof iistatistical iiinference iiwill iibe iicorrect ii95% iiof iithe iitime.
significance iilevel ii- iiAnswers ii-measures iihow iifrequently iithe iiconclusion iiwill iibe
iiwrong iiin iithe iilong iirun. iiA ii5% iisignificance iilevel iimeans iithat, iiin iithe iilong iirun, iithis
iitype iiof iiconclusion iiwill iibe iiwrong ii5% iiof iithe iitime.
𝛼 ii- iiAnswers ii-Greek iiletter ii"alpha"
If iiwe iiuse ii𝛼 iito iirepresent iisignificance, iithen iiour iiconfidence iilevel iiis ii1−𝛼 ii
Confidence iiLevel ii+ iiSignificance iiLevel ii= ii1 ii
Consider iia iistatement iifrom iipolling iidata iiyou iimay iihear iiabout iiin iithe iinews: ii"This
iipoll iiis iiconsidered iiaccurate iiwithin ii3.4 iipercentage iipoints, ii19 iitimes iiout iiof ii20." iiIn
iithis iicase, iiour iiconfidence iilevel iiis ii95% ii(19/20 ii= ii0.95), iiwhile iiour iisignificance iilevel
iiis ii5%. iiA ii5% iisignificance iilevel iimeans, iithat iiin iithe iilong iirun, iithis iitype iiof
iiconclusion iiwill iibe iiwrong ii5% iiof iithe iitime.
A iicompany iihas iideveloped iia iinew iismartphone iiwhose iiaverage iilifetime iiis iiunknown.
iiIn iiorder iito iiestimate iithis iiaverage, ii200 iismartphones iiare iirandomly iiselected iifrom iia
iilarge iiproduction iiline iiand iitested; iitheir iiaverage iilifetime iiis iifound iito iibe ii5 iiyears.
iiThe ii200 iismartphones iirepresent iia ii- iiAnswers ii-sample
Which iiof iithe iifollowing iiis iia iimeasure iiof iithe iireliability iiof iia iistatistical iiinference ii-
iiAnswers ii-a iisignificance iilevel
The iiprocess iiof iiusing iisample iistatistics iito iidraw iiconclusions iiabout iipopulation
iiparameters iiis iicalled ii- iiAnswers ii-doing iiinferential iistatistics
Which iiof iithe iifollowing iistatements iiinvolve iidescriptive iistatistics iias iiopposed iito
iiinferential iistatistics ii- iiAnswers ii-The iiAlcohol, iiTobacco iiand iiFirearms iiDepartment
iireported iithat iiHouston iihad ii1,791 iiregistered iigun iidealers iiin ii1997.
A iipopulation iiof iiall iicollege iiapplicants iiexists iiwho iihave iitaken iithe iiSAT iiexam iiin iithe
iiUnited iiStates iiin iithe iilast iiyear. iiA iiparameter iiof iithe iipopulation iiare ii- iiAnswers ii-SAT
iiscores
Data ii- iiAnswers ii-Facts iiand iistatistics iicollected iitogether iifor iireference iior iianalysis
three iiof iithe iimost iipopular iimethods iito iicollect iidata: ii- iiAnswers ii-direct iiobservation
ii(ex: iinumber iiof iicustomers iientering iia iibank iiper iihour), iiexperiments ii(ex: iinew iiways
iito iiproduce iithings iito iiminimize iicosts), iiand iisurveys.
direct iiobservation ii- iiAnswers ii-The iisimplest iimethod iiof iiobtaining iidata