o\ -1\ v'D(r4n,T l'111(q\qrr-tc c^ Lo^gJetr r co0B3! ol colp0rll6 ," U.l."5J-r'\t ttD stltlstlcs !08 soclll \*.rt*1,. ScIEtcS s!0D!r!s a€tDGrt !. D€Esler {oP€ colleqe 8o1I.ril, lttchig.; {9{2r t e l e p h o n e : ( 6 t 6 1 3 9 2 -5 1 t r qrrcu 9E !!9 e9!E€9 aefor. rLe i.t..oitucli.oo oi !n€ cou.se to b€ 9 o c i r l 3 c j ' . ! c 6 3 t u i l e ! t s a t l l o D e c o l I € 9 e 6 ! ! o I l e t t 1 ! i i . . -d' si isl cJrii ii a i .d" " i ! t h r s iotroilucto.r st.tistics ara cirorter. pioqrar!i'g. r! rhe .;.d;;;;-;;;; occqrreit rlich potnted ro tbe rdiisablii.ti or co;bi.!ioq .!;;;-;;;;.G:' paper, rost ecotoricB rld re6e_?o tro rterolop.€!ts rilst. Dr' Jar rortelt cooilucteit- €rperirsltlt secti.ons ot tne rlt[oalucto!r st.tistlcs course at rop€ col).eqe i! rbi:[ ha .!se.. tie corputer ;;--;a;.i to obtai. i.lrustrlti,e inroE!atio!. Be itid thrs b, arrorile studsnk t;';;;-pr;;i.i.ri-iii.."" p.oeEals on p!epa!€<r drta dsct5. riis ras itoae in c;'ruDctto! rir! tIe projocr'!o stucy ttl ose of tne co!pur.! ir stati'tic,r iDstrlctiotr sponsotei uv tbe rstro!.r i.,;.." i;";;;;i.;-;!o tie utrrv€lsrt, o! north cirorilr' i! urlcr Dr. lorrelt ras ; p.EticiprDt. rt il"-"iiJi-ii--iliit ,as Dr. ror"rartis. re:'1!s trat tre :oopntei *i."! i;-;r;;-;-c;;!,;-;ut " ,tpn.a. it. . osto l e r ! r ! e , a s r o ' t b € c a u s e r ! € s t u i l e l t s r € r e l o t i b r € r o p . r t i c i p a t"s* . ! i o t l " p . " p r . " i i " n ;; .," p."e..nr. a collE:E o! colpqtios ror soci.r sci.s.ce stod.nts ras rlrlorruc6d -r -o-p- e cl :o, !rfr:i-c: u 1 l!u' :r: .l e , r b i s cou.se is basic.llr I ronTErn p.osE!!!r;t ;;;;;;.rh..e rho rere rit! reaclilg this cours€ (ornd.rir! sot6 inort6age-of D6 'arlabl€ s!0denrs €uorrsd. rirL sole sratrstics b & i e r o u n d , t 6 o i t , r"ai i"i tr.i itiii-.--i,i.u"irdc b s a*it;;d pe.ti!€trt to t!€1! tistils ot irrer€sE. rr fas tb.refore the conseDsus oa !o'e y.lubte to co.bi!e st.tisrics.lit st!deDts c.th.. tha! to contitrue rit! 19t0 to th. xariooal scieoce ajun.lrtloo ritb t!€ il€r€lopreEr ot a raboratort !o! this p.oject ras funited. !!lcs i,!to tle iorot,eir to rhos€ ;;.j;;i; the lope corr.g€.rtho.ctr,c. depa.rnerr tbat 1t fourd be co'prter p'ogE;rlr[q i,n!o one couEs€ !or sociat sct€nce rro s.prrit6 c.".;";.-r v.s !a.e i! the parr or i.;;;s;r to! th; der€rop!€lr.r,icl' iconjuDctio! th. rath€lari;ar p".ooriiitr-"oo sratrstics cou.se, ard e€ !-!c gglp4er rn6.6 rre trr6€ raloE r.asons that th6 colput6E is an lss€t to t!€ .luctoft statisttcs c o u r s 6 . ! 1 l : E t , o r p o s u r € t o t h e c o l p u r e . - a l d c o ! i u r i ! 9 r s a o " " . s s . i v e i p e irriter o rce for'anr soci;l sci€oc€ s:r.teBt. H6 should D6 arar6 of th. econortc, sociologtc.I'arit p s y c h o . r o g r c a l i l p-rrcnt s o , rne:orpurDr.s r€ll rs th€.appticatioD of rn€ coDputerto rb; soluuon of p;oDt€ls !16 second, t!€ corpur€E c.! se.r€ rs.... a1d ir t€nchiDg stati6ti,cs theort. fhe stud€nt las a lucn greater r.st€rt oa a corcspr !fte! !e las orprai!6d ii to soieotre €lE;. rtrer a striaeai rritEs a progla! h€ i5 iloiag Jusr !h1s' erpral.ini to tle corput€! i'oi to tl" prorr".. ioi €rarpte, in the rasigllent s r o . [ 1 n r i g u [ e 3 , t h e s t u d 6 D t i s i s t e d t o 6 r p l a"!onr t . t o hor to t€et hvporheses. lLso the corputef cao be useit ro ploriil. the student ritb ti" i . t r u s r"roaripi oults. i Hhich furtter enhance his undersrandins, An exdpre of rhis is founal in the.""ig"^.rt i" si".. risule 2 irL which lhe sludent ts asked ro irrus!!;re the nornal ippi.*i..ti* to irre uin6niur. tlirit, tle colputeE allrrs !h€.stud€ar to.ppll tte strtis!rcat proccalrles !e is tea!!1E9 to. serul sets o! .rata' rhuE 9iviD9 bt! varuaore iipirieace to toti.i"..roq .€surrs ard .o r!(eEescrD9 teaE!inq tbe statistics. DiesllP!f,g! 9E !!9 - ,a. r-y. 1 : ,c: :e!g! iu:r $ r e p .! E o eact sereste!. tt 99.9!s9 b e l ' e d e v e r o p e di s e ! t i t l e d r r p p l i . a d s r a t i s t i c s a B i l c o r p q r e r ! . o e r a , r t n 9 . r r r e rs lrgh schoor.rgebla. rt is i tro seleste! co!.se fo! thfee boufs credit oqtlile of the toli.cs p!6seateil i! the coolse is foqn; i. fiqure 1, tbe studslts ale irtroduc.d ro a-silpritied forr o! iDpnt ald oulput so tlat the! cao b€91! prograr.r'!g ritnolt bellg etposeil to tostAr srarele!rs. Thii is doDe bi sulrorrioes riitter ior .:l::: b e c a u s es o p e ns a! r8r riJo rhicb !.s no sirpriiieir ioput/outpqt irctqded !r fni : ,t i e s t s r e . - r n e a u r l o f c o r pr er eg pe r h reit !ot.s to s€rte.s a r.tt loE the cl.ss !a5 to. i[e roBrRrd ot Decauso ertstilg tetrs presert rh. Ianguag€ i,! a s€qrerce difle.elr Pottroo fro! rnar dsteErileil to be opti,lar for tLi,s couse. aoE eralpre, ri sdDscrtpted rarlables iceseat rery earrt 1! tle course because thet are D€eitsil to prog!|r erarpfes aoa plocedsEes i! desc.iptire statlstics. 525 i . E f ; E i . f i i 5 : ' E ' ; - s E ? ! u4 :i i i! =i r r i l - i A l ; a E ; : e i i E t E iq; i ? . n i ; E E l E: rE i b ;*E ; [ ; ; i t i ; i i i li t r * ii i ! i i E I ; I ; ; ; ; i :i E i ! ? i i e } i I ; E ! rg ?B ;; i; ; r : F !! P ; i ; ; F ; i E i ; ; : [ ; ir E " r f l . : , r : ! i i ; r 3 { i = i * : i EEi i ; 3 F E E r ; < P E F . : E ; = E i :s ! i; ; I t ; H :i i , ? ;: i [ ; l ! : : = : 3 ;i ii i ; i i r : $ 3 n ; ; r i l i ; 3 i: iH i :; Ee! ; :$is }= : i : i tI Ir; ii I f i Ii ; i E: s f l i l , l i i; t r a i . :* i g ::lf , ;i i;?a ri if l iti: ;i ! f ,i ti ti +1 - s E 5. Et \- Ee 8 'j ;; 6 i E 0" --? : -*B:; ? p;";^ ! E e ; 9. 6 3? 3 r * q ! 'ai : z; . 3 I t ii ' i;- bs u ,i ':l $ i i :' E s r : Ii $ . ; i o : I C :.H * .- . d ,t : fl* -'c 3 Ee a E i t 16 i H i E .,'E it r l !g: c l ; l l r ! * l i o E e c r ;" :! *" d 3' E E E asF E' . ?: iE 6€ 6E : E I EE Ft iE 4 ,;.i?; h :l . ,: ei F E , ioiq *i ; id *- . i.2 ' b b ;,.: c a ea '3 t- &.: $ej r. ', E 2 F e i 6 . ao+' A e A i E s i a i,!19 Ls t t : E: : E I I i si ;i ; ?'x! ' i t g i g i i i i t ':El 1 t ;l!i ! i i B E u,) t b ol< . 3 " 6 r . ^ y t l : 3 , ? : Y ' " l 1 - r l " ! ! - - z j g i 3 3 { r 9i .Er d e E t Ei E i ;o te i 9.! F 4.- *- r. ! 'l1--'- tF s IF a . E ;I o o d c P ?' Ff! - l : P - E - : 6 i t f f o - . - I E ! I f . r * ! 5 .o Y "I rfo ri t h: i ;j ijd d> I ?. i t qq [ 9 ; i iri €a i { Ei n B P 3 H R e t )a I r +r.E ' I 6 ; d d d b r < . : E a o c a , t -t; *."--!Fr-a: : >.Eieiii'{iqfr8 E3 3 C5 s s s a p p5 j . t i " i 526 ; ; " : J d EIgEgt The purpoEe o! thls asEignment ls to lntroduce the student to teEting a hypoth€sis about a Banple rncan and lllustrate type I and type II wrlie D€scrlptionr errora. a function subprogran whlch has the arFunentBt Xlruo' the hypothesiz€d msan' XflU' following the actual neanr slc the actuat standard devlation, N, ths sanl]e slze, Ths subprogramls io g€nerate 100 sanple6 of s1z6 N fron a nornal dlst.lbution XMUsnd standald dsvlation SIc. confldence lntervel tith m€an Fo! each samPre, a 95F i3 constructsd assumlng slana kno\rn, and a test !s nade as to 1.e,, {h6therf lnterval, and hether Xl'{Uois In th€ confldence = xliuo is accepted. A count is nade of th€ nunber of tines the hypotheEiE 16 accepted This is th€ value to be returned for the function. wrlte a callinF pro8rarnwhlch call.s thlE function four tln6s, each tlne 1|lih XIru0=20,SICE5' N=l0' snd fo. XMU=20 t22,25'30, g$allt Your output should conalst of xlllJo, xllu, 5I0r N and th€ value of ths tunction for sach ca}l of the tunctlon. gr.€.llgnE ' 1. R€late th€ r6sults to elths|lyp6 of each calL !o functlon I or type II €rrorB, Spsclfy which. 2. Puncha card sunnarizlng your !'6ault6. 3. lhat would be the offect on your answ€rBlf SIO w€re 10 ln8t€ad of 5? what lf N w€re 20 instead of 10? what lt llveused a 994 lnstead of 95t confldsnce ihtervaL? 4. conpute lhe th€or3tlcal probabillty ot maklng an error ln each of the four perforned tesls of hylotheses. Indiiato for each whether it is a -iype I or a typ€ 1I €rrorr conpare the6e with your results! 5, ?he above progran teat6 the hypothesj.s A = ?0 asalnst the two-Eid€d altelnative / / ?0r Ho{ wourd your ans*ers b€ changed i! a one-sidsd alteinatlve > 20 were used? tlhat lf /r< 20 werc the a]t€rnative? !&Ig jli4el !9 jIX' Add enough genorality to your A program that you can try sone of the things suggested in queEtionE , and 5 above. riqure 3.. SaElPleAssigrnent 527 testins of l{yPothese6 !i ,",.":':,"";:::::l::,::':,"il:"?"* iitiF:ttt r'*€."'olill.-3rl;",1i':":tili!!rli:'!!i rrd tith toilili tlot ti€ ;tudeDts rli 9rr! soro !!rlli;!itt ,.o plob.btlftr iliscusstot t5 sote ".o.. desclrittre for 're-o'eoeo betore tr'1 :!9-t1:1'* iD t[oi! qse rt'! r'r'Iot aubscrioted tsi.bles 'rg€rlelce arorg - -i'-t'*{i'h aailen coocerdlg !a!do! ourDsr -i""tii'"tt osire carrea sublouthss alo :'i '"" si sarprilq ig tre.t6.. rrsor "* "*Jiil'ii!ibsrr !€sorts toE leeE6ssio! 'rd An'rv'rs or "Er'!c€' iiiSiiiJ.i"c sets. eac! colsrstiDg of s'r€lat sa'i'bl's' at6 stolott o! a ilisi' t!€ stqnents 67 6a 6e tl qsed ror 7z lhes€ s€ts- ate -itata aclualLt data' this lear! €allv ir tle coulse lor to aciili hn" b6'D 'r ! r i t 6 c o ! o ' i c s ' € d r c ' t i o ! r l i t #;';;;;' i!!i;'r;'g1' Eeserrch pcEFos.s t! tre..€ts ". 'sserrch ruil flor dthe' boots 'od a!trcI's' co!tEibul€d bt l.culty on tbe doPe carprs iior_tleir lstt I€aE' 8'ch stud€lt is assiqlsd onq 70 t" '"t" tb!€e !dtlir!o!.r 75 rl!e.dv rhe Far. Ih15 use !a!q6s fror ". "- '"; ; : ; ' !; !; i -; r, ioi !"i -"ial - " " " . - i r ' . " g u . i . drrr s.r .od o.e irliabr€,,.. co!fidslcsirtervnrs76 FIr€ A.t. a€:':ii::-iili:ii:i-i:'*i::i:'::.:'.:::'in i,. .€.!.a,ds,a,i,a!d rrc' ' iiiirii to co!.6I.tiotr.!il r69Eessro! cours€' Inste'rl' Problers thrD ia t!€ strldr!d-statistics Tbo stuilents eoEt teter-tertboot to tleiE irin .ppr.y_tr"". Proer.t. ; ; d . " . . " i ; i . ; ' ; ; ; ; " ; ; ; i " ; ; p l o e r r ! 5 rh.y rlrr€ corrut€E . thsrcoPut...:::;:::;:: l l v o t i r . c a s 3 i 9 ! r o ! t 3 r!€ 3r{d€trrs .." 9.,";';-a"a;t-;f't5 'ets. iata on' nssiqlrert PeE ; ;! a t s E a g € 6 o u t t o s l r g b t r v r 6 s s t-hI a tlr. ii.-r.".rppricntror ot tbat Prod.rr. a!d t!e asseeri!e ;";:.;;;;. tne frrtror iu,or,. t,orc.rrv 'sted '!s stud€sts ;i".s ". rr.'a'r o i s : r e q u e s t i o r s t D t € D . r e d t . o " " " g ' " i i - l i l - i ' i i i t i l i -spoi i' "t tb"a' t a ; 6 . r !esdt !aI ba obtaileil toE the sltire surrc!rzro9 ro Duac! crr.s tbe b€tter to cb'll€!es " " . , ,. "; ;: ;; "- i; ;i .; ; ' g - - " a i u e*t -r l"q" ' r g' ' o n e r t crrs3. Ettra cr.dit Ptobrers "' 2 l i e u r ' s ar€ rould ir r'. s!.Pr; assielr'ots iiia.iti- 78 7r "' dr ar 8:r d{ a7 s.cCqie-rlgs 9l !.h9 er9l99! to! Tb€ pcolq:t oEetolz€d d't€loProt ' " " ' J i " i l i - - i t-- i rrt! *' rrtb6'!tj'cs rarots rho seilor ro'rr r€rl as t6strne th€ co'p;tsr assre!r€'ts' r!€ l p r " ' p " r ' i i i i s u b r o u t ! ! " . . " " a staEtrng !.cos6t.t " t';;;' rcadsric lo'E 1e7r-?2 rit! i o " 't l t litt' c o ! ! 3 6 i s D e r s st t u g h i t o E t * coulse 'ccorar!e ib€ E€lisiDq io u' a.rot"a etr.otr!€ot ot 26 stsdoots' '"" '"ii"''i?-rgii t r! a c"iii t d ' r i c I c a E ' . r b 6 c o u E s er i l l t h e r b e t a urqr b ro rh.6tp.Ei€oce srt!6d trrrr!e t'j--pii"!ir"g sutror t rrrar rsPoE! rr be t h ; l o l r o r r l e ' n d !.vrs6il for| dulils th€ roctuE€ 3ot65 ald '""r as cooEs€ outri!€' " a l " " ; ; ; ; ; - i i t ' - 7iii!'iiri 1 to t.tcb tne .rae !ro!s trt! tb. lroar Pt"P""';"1-;i 16rb€ra sr'rr otho. to rrror ;; l;;;;i;;';a !!€ss r!t€rtar3 as6iq!.s!ts. "ii' !E grlr el e'l er e{ vr too e'rIy fo' t € a ! o t l h e P ' o l s c th ' 5l a ibl ' on!€ l cl oes t trtt,.!9 it ts tle rtildLe o! t!e fir't tbls trvoEaore' It e t u d e o t s o t ! ! ' r€actio; tiil-Li-tli discussroo of losuLts' ,h' ri!t to 'roil'rBt'nd bv the use ol the r a d e € a s i € E i " to'l croods tns srrPrr sore !.te ililic.ted.n." tor rbot th6 colput€r " ' ^ - i i " -;!;i:t;i'r;!;t;i;';"; ; ! 5 tna! Yrs co!DrtoE. t suspect, lorsver' '"" rsslq!i6lts o t r b e p o r t t o D c r e a i t -liiiii-.i-.1.-eiira sto.relts hare *"" no!. issuB- 100 rul r0z are !!c! groat'r io thls o! t!e-E![il€!ts 'oil tlts!€st tne lorale that lLe author tesls Pre'sEr€ t b i s r € a 5 o ! ' t h € f o E .!il p o r l i i - -i or ioi .i .reaso, r i course tb.D i.D eitheE of tt" tro to this cou!6€ tror ou! socrrl r e s p o o s e as ro ieacb. there las ".". etcouraging trei! 6tudeors to take !t """.--ifaculty tho teel !t !5 " '*"""obi";;;-;;-;;d-;;: us io rts ilereroPoe!r' ".ii-i! "".i".i"s l0l rob "r -v r loa