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Statistics_2_-_Spring_2000_-_Rice_-_Final

Statistics_2_-_Spring_2000_-_Rice_-_Final - Siulietica 1...

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Unformatted text preview: Siulietica 1 Final Exam Page Lefl] Statistics 2 Final Exam Spring 2000 Printed Name [Please print yuur name at the [up at each page] Signature Student ID # Elrcle yuur TA: Susan either Minnie Annetmng Tang-r Hue FaweiLasieki Mimaeifiehefle Frau must show your work an aii probiems. Ne credit wilt be given fer a eerreef answer with no fustificetian. hup:Hglfll-wwwberkeleyeduhmemi'ricefltatliflnallflflfl.hlm] ISIESIEDUE Statistics 3 1-": nal Exam Page 1 at' 11 '..'."Il'r s'r1‘I-fi- EH" fimt‘lfifl' Eyfll'li‘lllf A; J __-. _— Lutinos Only Ethnic Group Not to Benefit From Boom In: .I'I-Flil-IIJL‘I TIMLE Wssnlrstt'mfi — Tail-1:13 manni— satting t'tnnIJrniv.’ imam [1:15 L'I'LTitlI- cd nma‘l manlbcfi HE H'E'E'F I'D-11h! filmit grsup ans-mt um: — lalinm 'Jhn Feasts! Hum-Es 11ml tar cunt sun'tsr at lmusuiluifl finances sinmslhat whites Masks and Asians all haw: gains-t] gmllnd during tin.- L‘spamitu'l. B}.- smttnss't, {mm 1W5 It: l‘l‘fi _. the: must warm pt'riutl sludiad — Il'u: median Latina hnusahtnd ns-t want-I fallbfszm-Imingl‘l Pfifl‘lll. Ftsr leis grunp, madian net slum-1h thfl fll' househnitis haw: lass, half haw.- mam} was EIIJTU in 1995 in.” WIT SEEM thnsa wars 1mm. Etyflll: nntsittc this Fatima! R:- sEI'p'E alfarcd [wu- priswiifll explana- lians- an acmlat‘ating influx nl putrl' 1'1-r|n|i;::r:II:II3I and :I pupulstitm singu— larly ill-[tqtllppfllll lLr ptufil [mm the Intnnnatiurt Etamitlrian. Ewn :15 ll“? waflh dtl‘tt median La'I'inu huusahnlli was Falling. Ill-t Latina- mmmunity's Intal “saw: was rising, "Ell was run-sated in slats showing that mamas Latina house- hnltl incmllu {mt-I11 HEEIIJ'I put-I l'lflllWlfl'lll'“ rmr [mm Willi-In” ill 1995 It: Sfififlflfl in [WK 1. 14-] This article. claims that the matiian nut wuflh {natal wealth} par lmusahald dncrcascd vary stlbslanlially 1'I'fir'n EIFJIFJS [n IEIEIH. 1t alsn claims that [ha swung: last warm immantl substantially war the samr. pta‘iu-r]. Is 1l1ia pussiblta sn- is there snmathing wrong with lht: numb-ms? Esplain alum-13.“ and hriafiy. hllp;£.istat—tns".sr.lsal'kalasradufusatsr‘tiatsifllalflffinnliflflii.htlt'li fiiflflfliifi Stallieliea 2 Final Exam Page 4- ef 1.1 2- [:1] A red die and a blue die are relied- Thu win $1 the uuteeme en the blue the i5 at [least [WEE the uuleume en the red tlie (n' if the nuteeme en the red die 13 at least lwiee the eutet‘rrne mt the blue. What is. the ehanee yen win 35]? 3. [4] Five L‘i'l'l'dh" are {lean ht't' the my ef a shuffled deek. Find the ehenee that [he first twu eurdaaae Lliflrl'lflfltifi and nene at the nthere are- httpjfetnt—www.herkeley.e.tiu!uee1'5.hieef5tet1fl't“lnelflflflf}.Ittrn] WHEN? Statistiee 2 Final Exam Page 5 M | l 4. [41 Dhsewing between 45 and 55 heede en tflfl lesser. at a fair min in as likelji,r as ebeerving between and _ __ , heede U11 I'llflfl'l] meets. 5. [4] A repeat by the Envimnmente] Defense fiemiatien dieeueeee the relatienehip beaween air [Jellutien and annual death mete t'EJI' :1 eample elf all? majer ei1ie5 in the US. The twefflge death ran: it: reported me Qflflflfl and the SD as EIIIHIU- The R MS en'eur fur predieting death rule-5 [mm air pellutien is repurted He dflflflfl. Te there anything wrung wiLh these numbere'? ID1- tier y'all need more infemietien tu decide? Explain l'n-i et'ly. htLpfletal—www,[1erkeleyedm'ueerefi'ieet'StatflffinalEUfllhlml {it’ll-HEDGE Slutieliee 2 Final Ex are Page IS el' ll ti. lit] The May, Eflfltl issue ef ICensumer Reperta presented the reaulta el' a large mine}! en the use and effeetiveneaa ef alternative medieinee- Canadian and Amerieen auhaen'bera [:1 the range nine were sent a questiennaire and d-tififlfi reap-ended. The artiele etuteti that tl eeparete validatien study demenetrateel that the respentlenta 1were representative ei' the reutierehip et' Ihe magazine; what precisely was. meant by this ta net eleer. but fer the etrrpteee (11' this exam let us: assume The! The}? are repreaentative wifl‘t reapeet te age, gentler. ellmieity. axial e-eenemie aletue, itntl gmgraphy. Malt}? eem men eemplainte were eewered. ineluding baek pain. 20% UI reewmiente repmled that medltatien helped them feel rnueh better and 12% repeTLeIi tha1 ever—the-enufller druge helped fl'lem feel rnueh better. True erFalee and explain briefly: me theee flute ene can enneiutle that meditatien 1'3. mere likely Le help Ceneumu- Rupurtfi readers. sul't'eri ng from heel: pain he teel muelt better than are ever the eeuntet druge. htten'fatal-wwwberlteley.etltu'tlaerefrieeihitatflfirlfllEULHJJ'Itml fifflfiflflflE Slalimien 2 Final Exam Page 'i' el' 1 | T- Statisties en Lhe salary am] eduealinn flffiillrfl11riififil'fl in :1 large eei'npam}r were a3 l'eileWE: Edueulien: Average = l4 years. SD = 3 green: Eatery: Average = $4EIIJJUEII SD = $211mfl Cermiatien = All {a} [4] Find The regressien equatien fer predieling 531E113! [mm years Of eduealteu- {hi [2] Use the flfluflEiflfl tn pmdiet the salary :11" a stipend BUT wilh IE ware flf educatinn. {e} [2] A Hupervisur wi1l'l l2 years {if edueatien decides. [:1 gm back In sehr’ml Fer 2 mm: years- Can yeu predict what his salary will he after that? If 3e. what i5 Ihe preflielien'i' [F net, explain. h11p1ff51ul-www.herkeley.edu!uaemifieef3mtlffinallfllfl.hlmi 622M003 Statisties 2 Final Exam Page 3 ef 11 3. [-4] A eempany that rnnnnfaetnres 1wire takes a simple tandem sample at" its precincts anrl eenslruela a 95% eeniitlenee interval fer the average tensile strength- A euammer plans te purchase a rel] elf wins. ‘r'eu may assume that the reli te he purchased can he regarded as a tandem draw [rem ll'IE: eempanp's nutput. 'l‘nre er False and explain: the ehanee is 95% that the tensile strength el'1he wit-e en dtat mll will fall in The interval. 9- 'l‘we independent surveys plan in talte sintple randem samples ef a pepulatien in en‘ler te estimate the pereenhige ef adults eeveretl by medieal insurance- They betl't plan te rnalse 515% eenfideaee inten'als- {a} |E'.[ 1tit-'hat is the ehanee that 111:; pupulfllifln pereentage is eerltaineel in bath interval-5'." {b} |2| True er False and explain briefly: It Il'tt: surveys linth have the same sample size Ills inlewals will have the same width. lei [2] True er False anti eaplain briefly: ll' hath snwegrs have the same sample aiae eelithining their results will prudent: a. eerrlidenee inten'al that is abeut half as wide as either ef the ennfidenec intervals based en the individual survey- http:flstat-www.beriteleyetlufusersirieefitatflfinalElHilihtrnl tit'lilfllilifi Statisties 2 Final Exam Page 9 e1' | I 1H. The Multiple Rislt InLervenlien Trial tested the effeets ef intermentinn te reduce eerltlin riflt fatter-5' liar enmnal'j,’ heart disease- The subjeels 1arere 113% men aged 3-5—57" alt high risk Fer heart dietetic. seas were 1'flildflllll}' assigned te he in the inlen'enfien grime and E433 were ralldemly assigned [U be in the eentrel gmup. The intervenlien ineltttleI] eeunseling en smelting- {a} [4] Us entry ilttn the study. 593% el' [he intervetllien gmup were emeking and 59% UI [be central EWUP were- If it 15 Fuggiblfi1 find if 1his differenee is statistieaJI}r signifiesnl. Hil i3 nel pnssihle, explain why net. Why migh1 lhe investigatnrs ears“? [l3] l4[ After {:i years, 32.3% ef the inlervenlien gmup was smelting and 41(3‘135 ef the eenlIel grime. His pnssihle, find if this differenee is slalislieally signifieeflL IE" iT. is net pemihle, explain why net. httj‘ral'fstat—nnsnv.betkeleyetlul'usersffieefflleflmnnllflflflhEml fifflflflilfi Slam-fie; 2 Final Exam Page II} ef 1}. 11. [4] 111 [he US there are twe soureee hf stetietiee en nutienul erime relee: {1) Illt: I'D-PS Unifen'n [lcrime Reperting Pregnant, which ptlhliehea eumnmriee um all crime“. I'eperted te peliee agenciee in juriedietiene eevering virlually lflflfi. el' the pel'iulatien, and {2) the Hatiena] Crime Survey, tweed en intendewe will-I :1 nalienwjtie 5s: rtal'rle et' heeeehelde. Fer purpeeee ef this prehlem yen may :e'eume 111m [big is 2| 5imp1e Tandem 5e mple ef 5U,{]E]I Iteueehelde. JTI lav-12, 4.9% ef the hemehelde in the ample reperltfl Ell least em: hurglan' during the last 12 munlhe, find the FBI repmted a rate ed" 32. per 100'] heueehelde. Cam ll'lie difference be explained :15 chance ermr'j' If net, liew weuld yeu explain it?I 11:[EH51et-wwwjuerkeleyedufusemifieeffltatlffinallflflflhlm] 633421303 Statistics 2 Final Exam Page II nt' 1] 12. {5] In IBM 3 study was {lune Lt"! assess. pussihic Effects :1!" u nuw Virginia state law Inquiring thr: HEB {if scat balm. Thu numbers- helnw have bccn changed shghlly l'flr tart-:3 Inf calculatinn. I-Efitflrlcttl dfllfl far [11: lmahncnl 01' [11: twitter in n repurtnd accidcnl WW: its l'flllflwtt: Tmlrttflrll Hunt: Tmttlfitl and weaned A randnm sample of SDI} acciduntfi was taken the yam after the scat hull law went “1111- Effect. with the fullnwing mtuits: Tmttlml and admitted ta: mlwmtl hm: ins] Lfifi 3f] 13 then: a statistically 51' gnifiumll Chang; TfiliflLiI-‘E tn Itifimn'cai pcrccntrflgcs? 11:1pzflstat-www-herkclcyncdufuscmtfimrfilalEffinam It}.|11:m] tiflflflflfli‘r Practice Final Seltttiens l. lL is pessihle. The histcgranis are skewed. The infltta cf peer immigrants lewered the median. while an increase in the net wnrth cf the highest greens increased the average. 2. U2 3. {Isrsstttststttssrsettssnsysnss} 4- 495'] and SEED 5. There is an errcr in the repeat. The MS errer can act be larger than the SD s. This is net a tandem sample cf readers. There is pessihle nen—respcnse bias. Csnact make this ccnclusien. 7". a. salary = 28th] a: edu caticn -'|- EDD h. $34,4litl c. He, this is an cheeryatienal study and it cannet he used te predict the effect et'an intersenticn. 3- False - the interval is fer the average, net fer the pepulsrien histcgram- 9. a. .95 it .95 h. False- The estimated SEs 1a'ill be different c. False. The width ef the ccnlidcnce intenral depends en the square rcct cf the sample size. It}. a. It dee-sn't maize sense te de a hypcthesis test. Since the [we greucs 1were determined by randcmi'ratien, any initial differences eeuld enly he due tn chance. h. a -—- lid. Statistically significant 11. a —' l'l. lEntild net he explained by chance- Net all hurglari es were reperted tc pcliee. l2- Chi—square = 2 | .l with 3 degrees cf li-eedem. P—yalue less than .01. There is a statistically significant change. ...
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