[PDF] [PDF] Statistics Multiple Choice Questions 1 A variable that interferes





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[PDF] Statistics Multiple Choice Questions 1 A variable that interferes

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ACTMRegional-StatisticsMultipleChoiceQuestionsT sexam ncludes25mult ple-c o ce temsandt reeconstructed-response temst atmaybeusedast e-breakers.Recordyouranswertoeac oft emult ple-c o ce temsont eanswergr d nt eappropr atelocat on.Onceyou avecompletedt emult ple-c o cesect ont enanswert et reeconstructed-responsequest ons.Besureyourname soneac pageoft econstructed-response tems.W ent me scalledyouw llbeaskedtoturn nt eanswers eetw t t ewr tten tems.Youmaykeept equest onpartoft eexam.1. Avar ablet at nterferesw t ot ervar ables nt estudy scalleda. anexplanatoryvar ableb. anoutcomevar ablec. aconfound ngvar abled. an nterfer ngvar able2. Are searc d v dedsubjects n totwogroupsaccord ng togenderandt enselectedmembersfromeac groupfor ersample.W atsampl ngmet odwast eresearc erus ng?a. Clusterb. Strat f edc. Randomd. Systemat c3. T efrequencybargrap belowdescr best eemploymentstatusofarandomsampleofU.S.adults.W at st epercentageoft ose av ngnojob?a. 15%b. 20%c. 40%d. cannotdeterm ne.

4. T emeanGPAforallstudentsatacommun tycollege nt efall2005semesterwas2.77.A studentw t aGP Aof 2.0wantstoknow er relat vestand ngrelat ontot emeanGPA.Anumer calsummaryt atwouldbeusefulfort spurpose st ea. standarddev at onb. med anc. nterquart leranged. numberofstudentsatt ecommun tycollege5. T efollow nggradesareg venforastudentforapart cularterm.GradeCred tHoursC3F1D2F2F3F ndt egradepo ntaverage.T epo ntvaluesofgradesareg venbelow.A:4,B:3,C:2,D:1,F:0a. 0.73b. 2.2c. 0.6d. 1.86. For≥0, w at sn

C n

?a. 0b. 1c. d. Itcannotbedeterm ned.7. Alocalcountryclub asamembers pof600andoperatesfac l t est at ncludean18 - olec amp ons pgolfcourseand12tenn scourts .Beforedec d ngw et ertoacceptnewmembers,t eclubpres dentwouldl ketoknow owmanymembersregularlyuseeac fac l ty.Asurveyoft emembers p nd catest at61%regularlyuset egolfcourse,45%regularlyuset etenn scourts,and3%usene t eroft esefac l t esregularly.W atpercentageoft e600usesatleastoneoft egolfortenn sfac l t es?a. 97%b. 3%c. 103%d. 9%

8. T erandomva r ableXrepresen tst enumberofg rls na fam ly oft reec ldren.Assum ngt atboysan dg rlsareequally l kely,f ndt emeanandstandarddev at onfort erandomvar ableX.a. Mean:1.50;standarddev at on:0.87b. Mean:1.50;standarddev at on:0.76c. Mean:2.25;standarddev at on:0.87d. Mean:2.25;standarddev at on:0.769. Inalargec ty,50%oft epeoplec ooseamov e,30%c oosed nnerandaplay,and20%c oo ses opp ng asale sureact v ty.Ifasampleof5people srandomlyselected,f ndt eprobab l tyt at3areplann ngtogotoamov e,1toaplay,and1toas opp ngmall.a. 0.04b. 0.15c. 0.01d. Noneoft eabove10. Amongt econtestants nacompet t onare35womenand20men.If5w nnersarerandomlyselected,w at st eprobab l tyt att eyareallmen?a. 0.04776b. 0.10436c. 0.06093d. 0.0044611. F ndt esumof t eareasu ndert e standard normalcurve tot eleftof=-1.25andtot er g tof=1.25.a. 0.7888b. 0.2113c. 0.1056d. 0.394412. T eboardofexam nerst atadm n sterst erealestatebroker'sexam nat on nacerta nstatefoundt att emeanscoreont etestwas493andt estandarddev at onwas72.Ift eboardwantstosett epass ngscoresot atonlyt ebest10%ofallappl cantspass,w at st epass ngscore?Assumet att escoresarenormallyd str buted.a. 400.73b. 585.27c. 550.75d. 425.12

13. Ift epopulat ons ze s24,000andt esamples ze s400,and=0.7,w at st esampl ngd str but onoft esampleproport onˆ

p .a. Exactlynormalw t µ p =0.7,σ p =0.023 b. Approx matelynormalw t µ p =0.7,σ p =0.0935 c. Approx matelynormalw t µ p =0.7,σ p =0.023 d. Exactlyb nom alw t µ p =289,σ p =9.17

14. Supposet atonaverage20carsarr veatBurgerK ng'sdr ve-t roug between12:00noona nd1:00PM w t var a nce20 cars.W at st eapprox mateprobab l tyt atas mplerandomsampleof4012:00noon-1:00PMt meper odsresults nameanofatleast22.1cars?a. 0.319b. 0.032c. 0.0015d. 0.01515. Amarket ngresearc companyneedstoest matew c oftwomed calplans tsemployeesprefer.Arandomsampleofemployeesproducedt efollow ng98%conf dence ntervalfort eprop ort onofemployeesw opre ferplanA: (0.241,0.561).F ndagoodpo ntest mateforest mat ngt etrueproport onofemployeesw oprefert atplan.a. 0.16b. 0.241c. 0.401d. 0.56116. Asoc olog stw s estoconductapolltoest matet epercentageofAmer cansw ofavoraff rmat veact onprogramsforwomenandm nor t esforadm ss ontocollegesandun vers t es.W atsamples zes ouldbeobta ned fs ew s est eest matetobew t n4percentagepo ntsw t 90%conf dence?a. 400b. 423c. 81d. 12317. W ent elevelofs gn f canceofa ypot es stest s ncreased,t eprobab l tyofcomm tt ngaTypeIerrora. sdecreasedb. rema nst esamec. s ncreasedd. becomeszero

18. ATypeIIerror sanerrort ata. rejects!,g vent at! sfalseb. fa lstoreject!,g vent at! struec. fa lstoreject!,g vent at! sfalsed. rejects!,g vent at! strue19. Toperforma ypot es stestoftwopopulat onproport ons,t epooledest mateofmustbedeterm ned.T epooledest mate,ˆ

p , s.a. ˆ p= x 1 +x 2 n 1 +n 2 b. ˆ p= x 1 n 1 x 2 n 2 c. ˆ p= n 2 x 1 +n 1 x 2 n 1 +n 2 d. ˆ p= x 1 +x 2 n 1 n 2

20. Twosamplesarerandomlyselectedfromeac populat on.T esamplestat st csareg venbelow.Use=0.05.n

1 =50, x 1 =21, s 1 =1.5 and n 2 =60, x 2 =19, s 2 =1.9

F ndt estandard zedteststat st ctotestt e ypot es st at!=!.a. 8.1b. 4.2c. 6.2d. 3.821. Inarecentsurveyofdr nk nglaws,arandomsampleof1000womens owedt at65%were nfavorof ncreas ngt elegaldr nk ngage.Inarandomsampleof1000men,60%favored ncreas ngt elegaldr nk ngage.Constructa95%conf dence ntervalfor!-!,w ere! st epopulat onproport onofwomenw oare nf avorof ncreas ng t elegald nk ngageand ! st e populat onproport onofmenw oare nfavorof ncreas ngt elegald nk ngage.a. (0.587,0.912)b. (-1.423,1.432)c. (-2.153,1.679)d. (0.008,0.092)

22. Acompanywantstodeterm ne f tsemployees aveanypreferenceamong5d fferent ealt plans, w c toffersto t em.Asampleof200 employee sprov dedt edatabelow.Plan12345Employees6532185530F ndt eteststat st cχ

2

totestt ecla mt att eprobab l t ess ownopreference.Use=0.01.a. 45.91b. 37.45c. 48.91d. 55.6323. Fourd fferenttypesof nsect c desareusedonstrawberryplants.T enumberofstrawberr esoneac randomlyselectedplan sg venbelow.Insect c de1Insect c de2Insect c de3Insect c de4656776585556634323353454F ndt eteststat st ctotestt e ypot es st att etypeof nsect c demakesnod fference nt emeannumberofstrawberr esperplan.Use=0.01.a. 8.123b. 7.123c. 6.912d. 8.35724. Inl nearregress on,agoodest matorof scalledt ea. standarddev at onb. var ancec. standarderroroft eest mated. samplestandarddev at on

25. T edatabel owaret etemp eraturesonrando mlyc osenda ysdur ngt esummerandt enumberofemployeeabsencesatalocalcompanyont osedays.Constructa95%conf dence ntervalaboutt eslopeoft etrueleast-squaresregress onl ne,fort edatag venbelow.Temperature,7285919088987510080Numberofabsences,3710108154155a. (0.367,0.530)b. (-1.760,2.658)c. (0.385,0.513)d. (0.371,0.527)

_____________________________________NameTieBreakers1. ASecc d sk san8- nc d ameterwe g tedd skt at spa ntedblackandw teandattac edtoarope.T ed sk slowered ntowaterandt edept ( n nc es)atw c snolongerv s ble srecorded.T emeasurement san nd cat onofwaterclar ty.Anenv ronmentalb olog st s nterested ndeterm n ngw et ert ewatercl ar tyoft elake atJol etJun orColle ge s mpr ov ng.S e takesmeasurementsatt esamelocat onone g tdatesdur ngt ecourseofayearandrepeatst emeasurementsont esamedays5yearlater.S eobta nst efollow ngresults:Observat on12345678Date5/116/76/247/87/278/319/3010/12In t aldept 3858657456365652Dept 5yearslater5260727254485860Doest eev den cesuggest t att eclar tyoft ela ke s mprov ngatt e=0.05levelofs gn f cance?Conduct an ypot es stesttoanswert sequat on.Wr tedownt e ypot eses,teststa t st cs,P-value,dec s on,andconclus on.

_____________________________Name2. InanareaofRuss a,recordswerekeptont erelat ons pbetweent era nfall( n nc es)andt ey eldofw eat(bus elsperacre)ass ownbelow.Ra nfall( n nc es),10.58.813.412.518.810.37.015.616.0Y eld(bus elsperacre),50.546.258.859.082.449.231.976.078.8a. F tal nearregress onmodel.b. Us ngt emodel,pred ctt era nfall ft ey eld s60bus elsperacre.c. Constructa99%conf dence ntervalaboutt eslopeoft etrueleast-squaresregress onl ne,fort edatag venbelow.d. Ist eslopeoft emodels gn f cantlyd fferentfromzero?Just fyyouranswerbycarry ngoutanappropr ate ypot es stest.

________________________________Name3. Tenpeople applyfora jobasass st antmanagerofarestaurant.S x avecompletedcollegeandfour avenot.Ift emanager selects3 appl cantsatrandom,a. f ndt eprobab l tyt atall3arecollegegraduates.b. f ndt eprobab l tyt atall3arenotcollegegraduates.c. f ndt eprobab l tyt atatleast1appl cant sacollegegraduate.d. f ndt eprobab l tyt atatleast1appl cant snotacollegegraduate.

AnswerstoMultipleChoice1. c2. b3. a4. a5. a6. b7. a8. a9. a10. d11. b12. b13. c14. c15. c16. b17. c18. b19. a20. c21. d22. b23. d24. c25. a

SolutionsofTieBreakerProblems1. T esamplesaredependent.a. Hypot eses:H 0 d =0 H 1 d <0

,w ere ! st e averageofd fferenceof t eread ngsIn t aldept -Dept after5years.b. Teststat st c:=-2.384.c. P-value:0.024d. Dec s on:Reject!.e. Conclus on:Yes,t eev dencesugg estst att e clar tyoft elake s mprov ngatt e=0.05levelofs gn f cance.2. a. ˆ

y=4.379x+4.267 b. x=

60-4.267

4.379 =12.727

nc esofra nfall.c. 99%conf dence nterval=(3.228,5.53)d. !:=0;!: ≠0.P-value=0.000003.Reject!.Yes,t eslopeoft emodel ss gn f cantlyd fferentfromzero.3. a. 6

C 3 4 C 0 10 C 3 20 120
1 6 b. 6 C 0 4 C 3 10 C 3 4 120
1 30
c. 6 C 1 4 C 2 10 C 3 6 C 2 4 C 1 10 C 3 6 C 3 4 C 0 10 C 3 116
120
29
30
d. 6 C 2 4 C 1 10 C 3 6 C 1 4 C 2 10 C 3 6 C 0 4 C 3 10 C 3 100
120
5 6quotesdbs_dbs14.pdfusesText_20
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