Exam 2 study guide - .2” f'II'I WILaI:is...

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Unformatted text preview: .2” f'II '.'I' WILaI :is 1,1;111I1|11|:ing mar? 111.1111. 2 "11111111511111: Sampfing 111-0.: '15 u; nuxumllyvnmurring discrepancy htluem It IIiI-II‘IrIR: smilslic and a pnpulaiinn pmmnler 11's unevilahit‘. T133351: 11.11: 1:111:51 in “11's mugged! 11.11.71: 1111:1113: kmw 111-1131111111: we have a gmd, Imsmmfiw sample. m 1.111.- lhul. is, extreme. M WWW. WI: an, however, lumen-11: the wababilitymat 1111-. haven gum! .1.-111111111: E131 1111111111.ng 5:11:11ch .111 11111:: 1111 Iblc. A disiribufiun—ormlple means is. 111.11: 5111 dfthcmnusofall puxfiihlfl sampilts nfa [mimt'lar sincflmt 1:11:11 1:11: Erin-clrd than 21 110311113111“. THEE L1 1.1111111111151311 lining. 1.1151131 11.11.- 1511 I'l'fiL'flrE'il. 11.1: don‘t Balm 11]] pmdhh samples l'mm 11 mrmlaiim; 1111111111: 11111131111: sumpiu! ilmNI'Ih', 11K: InaflI-cnmflnalpmpcnmuf‘a distrihulkm of 11mph: 1111:3115 11': 111-5 pmdicuhl-e ifynuknnwflu: snaps. 1:11.111. 11111:] L'I'IJ' I'If'lile Mmlflim 111151 '11:. 1.1111111111911111. 'TIIc 1111111111 11.1111 1111c IL. lids is 11 shul'wr MICE For: 1115me 1:1! I‘m-C1121 sample is. takm from 11 populatim; Elle: w'EI Find“ 1mm: tin-11511111111113 r111121111'.1 a arm-11 mmrufflw {111511.1Jalic111'51 1111:1311? What 1.1 11 disrl'ibutilll'n 1:1-l' Sin—HPIE 11111111131? ”fl-1111': 2111.111le disi:1'i|:-LIti.11111'1I The 1-:r.|}.1| |1'1-1-11'11|:1:.111:11:.1.-11 11311 1111113 digtl'ibmiduol' 111111111111: “tall?- 11'! :3 11111111111: 11ch 111 11111111111111 111-3111 equal Ln flu: wuimiun mm of». 11 slzmdzud duvimimIIflI-at L1. Standard 11111111111111 111 , and will Imam: 11111111111111 mmnnuiiyxflmpudgin 313 bigger and EIIEEH. 'T|11: amp-rand Ind-111: LII'lbc 1111:1111 E11111: 111111111 Ufa di511'ibuliun 11F ample 1111211111, and 31:quan 11in: mean 11mm paw I.1'li1.1r1 From which 1111.- 5311111111: 11111: Erin-51:1]. Standard mu: :5 $111,111:an da'iation 1:1.fa diStribILLI'uu ul'aulmnle 1111:1111 ‘Jp'hja'l. [.5 H11: FQImIde-J'Df 3.15"? - W/— Whm kind ofml’hnnuligm 1.13111 RE FTL'I'H'il'JE'? 51-.” 1.511 mgufillre ¢F111mph|1gcrmnlttcil3 115 hmII' guud 1111 l.‘-‘:'|1ll'lfll|: 1'd'_1.1 that His. It disc-trils 11.111 111111 111111;}! 1:11-01 1011111311: kWh-11cm aEiIIJjJI: 51mph 111111111, .111", andthe 1111:1111 fifth: pupuiafion._1r. I'I'LII'II 1.1.11'11'flLfl-e sampic 111113 gamed. 31111111: 11111:: SBCI'IIEZILT-cfi 5111' lLII: 5111111: Thing in 1; __ _ _giigiilx djiiin'cux 1111135.; _ _ I Hun-11' L1 SE like 51111113111 dwbaflun'! SE is a standard dc'rialixm.’ 11'11 111.1: fimmflr‘d dwimim 111:1! difitn'butinn LIE' ' 511111 51: anLE— . . What influences 5'1"}? ' 'r111.1c1||1i1131;1:.'i11fh111n1:1e 35.7111: 517! 11f: papulumu 1'5 dimIJIt-r rebum 111 SE. A535 got: up‘ :91: dams 151'. 111-11; 1151.1: 11111111. The strand 1111.13 1111.11 infiumm .E'E i.1 5111111111: size Mulch 1'11 1'111'11111IsJ1' Eli-IE1! In SE. 11.1 53mph: 1 What 1511.11.11.11111131'1 1113121211, and 11-1-15 docs it mama? 11111111 '131111: expected 'I'EJIJI: c1111.:11111111111111r 15.11131 '51 113:1de crmr {$1.1 or SET? __ 1i:11:_ . SE 1:112. 1111-11-11. 11111] v_I'_I:e 11111.1. II '11.- 'JIaa1_' 1:1. 1211:"11111111’ 111.1111: 111111111115"; =' 1111111113111 1111: 5:11:19th buttim'ih: II 11115.1 33. r_11_1_3.1timam Die. “4111' 1.1 1i113 fonnula for fiIIdi111__zI'-rsx.urc5 13:11" saniple 1111.":11151' 1111—11 1 _ II“ _ H011.- mvpsumes 111151! I11 first! IE‘II: pmhiliw fifth-Em The: fi‘lnufi- Wflfi" 11:11:01!“ Hing]: SIZ'IIL'E. amp: “.1911 WI: USE-91E iflfiifld 01-53 11111111. mn .ofsmnIic rumflmggm'lr "3" 1111511: formula. 1.11111! M 11-11mm] LIJ'JII'. 11-11111 1:111:15 nfsamplc 1111;111:1- an: likzb- {pmlmhlg 3111111511»: 1111111115 51111111111111: mauafinn Mlfiiihm 1 31’ 0155'] fit": ""2151 11:11thde [4.1 hr: ubtnjnud I'mm It III-11111111151111 1111111: 11111113111111! 11.133111111111111. __1111111111r1 511111 |c.1 1111: 11111111 from if? ___ iii-11:11 kinds afmplc 1113111151111: 1,111 likely {inmrnir-ahie. 5511111111: mm Far l'rmn 131E mp‘lllmitm 1111:1111 [mare E11111 1111111112 5.4711 n! mapwlgd} 11.1 Ix. maiuml I'I1:1111 a papuiutim III-111.11: whim-1:11:11.“ “1:11!me 1111.131 can occur! 1W. _ -..—_ Whv 11111: 515' has 115111111 infurmaIiw in 131111: graph? 3111:1119: Wypwfidu a 11-11:,- trrvisuaLLzI: haw gum] :II 1:451:11: of 11 11131 M111. hil- l Whaj i511 WEI-31h 1-31? HIM}- 1:10 we Iin IEi'IItILhEIIiII ESE? Whll! is a mu mummifi- ‘I'flfli: 13111 211::me ' IIJMQ'SIS? My arcl15'p11thcsm stated in ILII'IIIII LIE parammrs? I what in: Lariflcat I'Itluc‘.’ I in: 135111.255 11:115. malpmi‘.’ What assumptions shnuh’l in: true :11 cm wt 11 Iwimis 11:51wi1JLz'? |—. I Why is it imponm II:I Iii-4w II L'IImcIIlLiL‘Ic‘I from a I mpuilwsis m? Whm simufldum-tnjiud test bc'hiriid mu manta I‘L'II'I:I-11ui|I:II.I[L'I‘IE'Er I i— I What is flan-dam 121111r{m}'? C319 ll—lh'liy 1:L IlIcrI: aIIrrtlIcr 1-1-31 muslin biasidus :‘i’ 11:11.11: should 1 be nan-II irmL'IILI LIFE” I'JLI'haI hind ufdesjgn js1lu: singlcmplc 1-1::le uppruprialr.‘ I'M? I__ . ‘ “I'm-'3“: nim1wiu¢a Fur: dichrIZTIIT than t'IJT:-":' A I1}"FII:H:I.1I.‘;S:i5 1::5115 upmdutie It'or malti rtg sum1m15 .11wa malady“ mm huesucl Llfl tamplc statistics. In paIquIJnn hypulhcfiis testing album mmdwhh- 11115: mum at: «My are-1111c to 511m: trmuumu Inning :[lbctaw arralhrx [11 mung 11111111111111; is. rhI: lTfill nvcrII I'm-Ill}.- 1335 11.9 chmt 311111], (Note “1111 the mrd mm”! can amt-13.r 111:- Emailing. Infiltlliillfl nadicintst. mflflifl cmdiliugrgin II'IIfannI-énl‘t- cu: Rampling ewe-1' — 51mph; are Ital peril-£111 repruaulllali was L1FpL1pL13111i11n5. w: do mwhlflfiifl Lem: hacausc 12:11:11 whim it IEIJIIIS like 21 Im‘IIrnIflIl M5 I: 1:1 111E331. this 01111111 be IZILIIE' 1L1 surmllng 1mm. I .-"L Imll M'mflmisisu sL'LIILImthII IlI;1I$LII-I1_I1'—|1tfilll1lllttdid net hull: m allied. .I’Im ulI-n-nulive hypothesis is a star-1mm thai 3111111: trdillnwnLtIirl I111".- an flflbct. .- . Hypothmiw mated in 1:311:11 afparammrs bammwm him-11m 1n 1 11 uia'timu‘ 111:1! 'us: flu: ' 11:; 11.1: liflf'fiuxiiflg A critical walnut-dis 11: 11111-1- :IIIJ'IIIUI: iI- mnph: 111m 113.1115 b11111 docidc that a mum-at wally luv. an arm. III-1H: prw'mh'. 11 critical value Llul’riicfi jllfi-I hnrw unlikely fifth: 1111II I1}']:II.1IJ1¢II'15 511 true] graph: data M11: [:1 ix: t‘m- 115m timid: Ilial the mfllw IatlIeeIiII mlflbiv is nut 111.111. 'NEII Then: an: rpm kinds arm Ihm can Luxur in :I hypnthc-aifi “:51. .11. Type I mm: L1u21115tlul a correct {1111c}: null imam-511: IIIIII iIL'L'II inmocfly rcjcmdrflut 1'5. [he [mun-11:11 'nI qua-Minn 11:13 m'r cfiéct. but :1 11:11sz hm; [1111111 marl: 2113111119513“: 1111 tffmt. A. 'l'rpc: II. tnur 1:11-11:15: 1|1111 an i11.L:cIrrcnt{i'a|3c]mILlIa}pL11l1-¢si§ hm: th-r: inmmctly Itrtai Rd {film i; 11:1: mjtttud}: IIIaI 5:1, 111.: mmmtin qunstion rouiy IRIS L111 affect. l1u| :1 decigim hfi been mud»: IIIIII I1. flm'Im I. TIESlijGCE in It: study 1111::- LmtlI ram‘InITIIF sample-:1 11mm :1 pup-ulmiun. 1 All scams hm tube htdcpm-LILI'II. LII'IIrII: 4:1th 3. The populaliLm 21111111111111 dmiafiuufizr} u‘I‘IIIsI be Iran-m. :1 The WWII-0“ from which 1512 sample was 11181111111115th mmmil dimilmbxl on: must bc ta II'I: II_1 _.-IhL1ut 'l'fl‘l. HWis Ifilx :rrL: .1 111.111.11.110 an and. The 111ch LIFLILH'UI; Tact-1rd: III 1.0 sum 3 mscm'ch L111m|m.beu-iiq1;“rch-m Hg" LII "11:1 not rcjct1££3"i5 11111 111-. answer In a. qunfiliLm. RI: 51111: to pmvidc a plain FfiflI'IBGI'I cIII‘IL‘II-Ltinh about what a h1'ulht55_5§l§:fil¢“§ m: almut a ref-cum 'stinn. If‘flu‘: mlgd qtflbgl III"; :rcatmcnt i511: thugs scat-L's upward or dwwrtward. Mmrm. menu (nu-l: 11 la! IL-L1 can hcj Liafifiod. Howm‘cr. i|11|1:}-L.IEI_IL_I.III|31 13 SEE}. fl" table. Emma-1rd ermn- 1ellaustlhe typifi] distance betwu-rn II pupulal ILIIII mu: LII Lu] and 1111: 1111:1111 at a ' in {MI 111111111 T{0_I_I]_tlm latitrn. LTIIiIIg z fea- hypulhmiucst: is Wpriillt [and a very good idea!] only wtum the popularich standard dm‘iat'im {a} is 5310111. 1F1l11's is- 111.11 Imam. rsimiflcl l1: 115:1] inst-rad. IIi'I|"Ih::I1 III: 1*de dcfiig'n i155 a my: amp]: 01.5qu who each prelim: um m_ mid. 1111; much qILiLLIinn is whmiuzt 1111: popuiaii-m I'mm which the sample was drawn is tl'II: same 115:1: Iiilfetent FI'anI 511:1“: knuwn {1c}: Wmfl}pn]1|1lnl‘i1m wall»; 11. infill-mph: r—tcst 5111011561 5-: Lli|]ik,1,::. which 1:; hnsnd 11111311.: disu'itluL'ILm [th nurIIIIII Lu: W} .I‘ it based 1:111 mam- disu'ibui'imtu which are similarm but 11I:It quitI: 1111: 311m: as IIIE mum-ml :mLThc more :1pr 111mm i:n :mepbe, the mmcflbcr distrib-uripni; lit-L: fhrnnnnnl mn'c. _ Degrees Uri-I'm rum .ginglc-Itamplt dcfiign. iL Equals III 1. 1'11: ll": “£13151“an mmuaflm it’au valu: Il-ut. mmsmts new man}; seam-L: an: "he: mun-jaw" in .1 mmElc {mt EE— 95-915 _. Wham 'nj Cuhmt's in Wham tutti M1}- si'nuld il hr: l (Julian's d is i]. aware ofclT-xt trim, and gin-mi “-5 an idea of erw much mmphmd? nfan cffcc'tatrcatmcht has. ltshmtldhl: uricduasuppimcnttd a 1 hi- Ihcsis Eris! when u: with IJmsiii has born 'cttu-d. L. Thc subjucla in muslin-whim: both maximal; mind trauma unnularima. Z. ALL stoma ham: th bdindcpmdmt ui'lmc unhihu'. J. The imputation from which the sample was drawn must In: _ _ __ mullv disu-jbuttd [or HEIRS! bi: _4 .-. 13' than about 391 Wit-“Ilit-Efitimzhed 51:11de Lil-run" [55.]? Standard error tells us the typical distant: hernia-cu awpuJatinu mran {a} and the mean ofa film I I: W} drawn From Iliat - - Martian. 'i'i’hifl swamp-hm 5131mm hr, trim to mun-0111i: ltfiimhasistmt fora single-sample design with r'? Ch 10 What kind ufdcsit-al 1'5 1h: irldcpt-rldcm-snmplrs Il-test thn Utmnhdcsign has IWD diflhrcnt minim of subjects. whh mmmprim tint? each :mwidc on: more, andflmrcicarch q'tlcfitifil'l is: whether the hm run-lulrll'im Erwin WhMLIfl-fiim‘pkfi were drawn an: UH: Sam: had: difficrcnl From my: another, an independent-samples: i-tau 511qu he: L'rmd, What is iris-ulna] barium-if- Fania} variant»: is a mum that mmh‘irws van-Lima: fi'drn hm mph-5 WI: We crmupurc it wants: two cadmium: of harjartcnr m: hem: man #11: IJiiII: is. partial t'ih'ia‘tnw htltiws us Lt: Lulu: waning»: LII'hm-ing two sam r :5 inshnd df'ust and. The Sidijmts inthc stud]: have how Indmuly samplnd from on: m’ flu: m mmlmimm in qumtim. 3. All sum-cs haw: to he inddpmdmt afoul: EIDDML'. f5. 'L‘Li: hm pupuhtitm J'Iurrr Which lht: Eillflpil'b Wm: dim-I'll: rliu'sl be normally disuihuird {air at + :11 must k greaterfltau about I 40}. 4. Th¢two pap-“Latina: from which Uni: 51mph: “m drum must haw: ma] uarimagaiihis is what ‘thfil-irfi par-iinamianfui. ‘flr'hz'rt assumptions should be 1111.: mearrymn :t Ilj'mil'lbcfiifi £151. Fur Hll ilrdCfinI-IRHIZ-fiaurplcs miglt with f:' Um: my in mink ahnul ii that im the mainland] typical nit-haunt: hum-mu {.Lf. —.'la:‘;.} and Lu. —,u;}_ TM: is kind unharmed. fhdugh. lfw mum-i: IJtat dat- hull h}'puU1Esisi5hu:{fl1Mi:;i. it; '11}. it Eli-cums a “Ill-c Chi-in“ [Lt-mink aha-lull — it'a.‘ till; lfinicfl «Ha-launch hld'lmfl 'twu flumpih 11mm: Lukhu from Uta-m pdpuiutiim. Think abhut it U115 way: 11' yuu Lime 3 pnhularinn with amcan ui' in, you might iaimmu; amp]: mud find ha Inc-hit. and thmtakh Mr samplc and find its mur-m— they probably wnn't hi: rim 3mm, and the standard crmr mlis yin... hm! RH amihw wutlid l1 irall ht. What is. animated standard drum Law; 4m}? Ch 11 “Find. it'inL{i1FfIdHtH'il:1H EFFE-E-IELHIIH1P1E5 1:41:51 ‘L'r'hm L11:- mguuzh dcsign has one 5m]:- ufsubjueba. bun-tn cash tipprrlpriztr 1hr? prd'l'idctwu shut-:5. and the, web question is whcthcrthc than mulaliwa that ll'n: 5mm: reptrxlll ii-TE III: same :15 urdith-renr ”um um: amtibur. a remand-mm {rabid—mph.) r-trat simmld bi: ~r'l'm'lhcd. Win51. ammnrltiunia xfluuld 11-: true 1::- Imrry uul il I. Thur; thiuctx in “Ir.- filudy 1:31“; I'll—‘Gll math-15113.1 mailnfl from a hyphlhdsis this! For LLTBIEILCd-Sampitfi daily: with :3 WJLIHIJL'I. 2. HI." rl'ilenn: {fl} finial-c: have In he [mkrnaulcn‘t t‘rfflrrrar‘lnflifl. 3. The pupctdhljdrt than which Example was ihmm must he mmnaliy dimiimlnd for;_a_i}1u|it_hg_fi:p§ih{_1hm aimfl-fi'i. . What is astimamd sitahdard crmrfmujr? S‘tm‘ulard mar (1:115 usthc typical distmhcmmapopulafim air-art . J and the men ui'a 5: ml: {Mr drawn fi'om 1|1:I| H- I._Ii_:I£iI11_'I: _ Why in mmfi-Emplfis f—trstm‘cpdwrfl'ul than an litmus; finding dim-rant: mm; mnlows moist ul‘lhr. individual inflepuulunt-sumplms Hair? tiitT-cmwas Ilia: mid between snhiem. This in turn Leads in a lav-w L standard error. which Lead”: 3131mm“, wIm' is milwiflm‘! “Tl-El kiwi-I; “Fungi-limits arc (film: i} _15'1131 is a point Ig-qliIa-Ialt'? Vfiifll 5'5 an inieéiéi minim? _'I'I-'|'IIII amt]: pm; in! 00115 mi" Each kind chst'LTIJi'Itt'F [[Iwa isapoiui cslimni: Inmlc'.’ Hon-i5 |'||1 immnl estimm Inuit? w FIII'I' 15 III: mam— -‘l1-picaJ Lcudui‘cnnfidmasanciawd with an intnrmljgummsf? W113: din-:5 "95% mnfidtnmt" mun? Estimation-I Is an EIImIIaI 513mm Lcclmiqut: maid In wmcmup with an wins]: nfa pamIlatimI pamrneqer bastion a 55mph: swiia'lim 1ITI-'I: arc mu}- unnamed with estimating :1 pupulalim mean [In bass-cl new 5.1 k:_ _In-ifirL P: Then: 3111: mm kinds of caimatfi [hill can he made: puim estimales anll inEm-IIJ whammy A point csfirmfllt '5: II single win: «film an mimim 13-313mm. Its calicd a "poinf' animal: hecahsr: aginglv: 1min: cmespnmrls 1x“:- a [mint an a lumber I'inI:_ .I'u: immal animal: is mug: of t'IIJuw- I15”: [iurl'flfi an interval in which ill: lmpulaxifin puma js IEILIIIIIIIII'. 1.0 [it {EJHII'LIEJZI IIJJ.‘ flfltfid-flwfl we I31“: 'rn Ihig twig]. minL minim III: pmc'ns: {Ii-IiIS' m wandet aimost My imLtIrnllc [It-Ibs' :5 [13d]. IIILIH'iI'Jll estimates at: impaecine IIIm m gmdihut mm: liJ-Icl'r' ta 'iII: mm“: KEN! [- For apapqflafluu mm [be mean nfaumphce MEI axiom i:'rI.1I:rI IEII: ululiug' 15 m _In make ELEM catimaL-z. T11: firming I'hrmuin can III: 1.15mi to main an _int'en'al Edinlfilc. M irks” Mia, iIfi usual, the mean Ufa sumplc. r 1'11 “11'5 cam ifi ll": {-15er 35mm wju: I111: III'IIIIIIc; 95% (nr 90% Int Elli-E. I:I1' whuiewr Semi-l UT 1 confidant: is dcsirtfl nl'tl'u: imml] affix fdifilF-lbuliwl- 'Fina'lly. l slmbdnnd mar Earn] isuumpuled based rm 5! hmn. similar pupuiIIliwI's standard dfi'iaiiflfl{w‘h‘il;1l is mmnd. 11:- 13:: 1h: 53m: :15 in this unknnvm rII'InulaLinIIJ and ltIc MIDI-ring I'mnmia: Inf—Arn— HS'HI is 1.1!}: cnm'cntianalh- —p¢¢femd [cit-i af— mnI’I-dnm This 1': enmijL-nled.'E1Ieidea is this: lfa sample is liken i'mm a pupululiun m-nrand wand met again, and [hr each swap-iv: a 95% mm; film! is cnmmJt-cd. ESTI- :Ii'LhI: lime IJI-e cnlifidmcfi inmn'ai should contain the actual mu ulifl‘n? population. “dues II'U‘t BIL-fin iJ'Iui “use in afifi‘fiuf. probability that I11: pnpulfllil'm mcan is in the imcwal; iil‘b' ci111m1'rl 131.: jug-fall w :IL'R nut. ...
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