Statistics For Machine Learning, Study notes of Statistics

Download Statistics For Machine Learning and more Study notes Statistics in PDF only on Docsity! __ Stabishis doy Darla Sciente Notes Ga vito da ton Shishres Gee of — Shatdies ye of Data _tevels of Measurement + Che-Syave Tet 0 Fe test 4 Asovr = Praiuie of Corba) Tovey ee ee © | Messe of Despeasion 7 Rarstom Variables 7 7 ° Seis . Histegram and Skewness s Cornstance and Girelation " Frobabt wy Dish? button function © Probsts Shy Hass Junibion 2 Frobabritty Density Junelain . “Tyres of Rebrbitity fhetabtion - Tmoulti — Drsbth Hoa . Biromia) — Orstiv bation . Poisson Oistithelfon . Norma __“Distrtbskinn < VeeSoun — Drstathtton - . TE sas 7. Abies ° Contra lim? Lreoem e Lstimete . Hypdthesn Tesby ant Mechanism . “P Value « YT Stats ant T test = “Wee Yana “Kee 2 for . Confidence, “Tnterwe! arch Margen of Error = | fee “Toes  [Poems 5 | Steakivhes ee. UD Sr a — a —— f Stabieire S Lhe Science | of a Oppeting ard | ane sy clele, - _ _ ee Daas Fes fk pieces of information «Used in Aeersron — - ; =: } poate Process gall geeks tees EIN eee Types of Shttlag. —— Dm Desertpkiue ay “Tnkey ent 2a | a tell Descriptive SAshettes ; “Tederertal Shaleshs Yi Gossk ok apa ard mF a Lhe dala have _me€agurel te - o| Mesures o8 Cothal tedeny [Pan Month] Cen clugfon - © || Measures ef Aeaplinton ines, Sty] ; Ves of cbstabution’ 08 dala oat y C = “Hishegvan pati pme er t-test of hy 3) Che square best > 4 ndreence a Valles “There ave 0 erbeckentS Stabsh cs fal assed ot four _ =| ee have coAeCheal heaght of Tectia ———_| the class - wae Hecgnis awe FLV PS 12540, 13S p13F_, Io] ee Desi cipkive Question’ ——__| * What: rs overage. height of uth class |! SSS “Taferemb'ad ‘Cues on™ - ee Ave: hesphts of suders th Clatsroonn —Simbees be | =a what ss expect th erbtire age = 3 a SS : PageNo. 38 TT Dae ff | Medan = 243 25 | i | (2 Comb= odd = || Medean= Grtral elennt : Xo lt+as arash X = ta Lardetstion 5 é 4 7 =" Ouch tres = FT = ie : 3 ha I¢ Oh Meehan = a Mecham = Bty a = 3 hy edvan «fg USA to Pinal Central ola Contains Out (vers retry © hen « |] Moder Martmun frequency _ olements Xe Ph tr, BIS Mete= 4 i 4  | Ln) T A endured ¢ . C, ri) 1 ers —— Hees. . o Path pay Feedeny aye used tn EOF eyed \ ccieinioes eahue Er ce : eleel i Age. e Me Balayy Arlee Derre —i— io ——— ae hoi! M bf = iz a go Fox no, Saar a ee _— e 45x £ a ey l a — 50k M PaD el a2 es GoW es j be | = 6° ~ a Master |_ - 65 55) = bse | AO. Bz j- es rs hE | et fe Sav. msyiy Clete shee vs Nenercedl we Can ose Sal (Mean _ : B Bed cerbleas toe on se Meccan 4 b Pay oo Cet 24 or Seal Ritaret we Can uy ode ¢ Measures of — Cotral Tener using Be hon Age = Dravay 220451 569) Prep pump a_i Np. mean ( cy Cak C4etat_ bt)” Np mean Ops meaohten Cage? Rien Sey import ells Stabs, mode Kye) see t a =r [oe ci LE —_——— SS -— 4 Measures — of Aaypegion lee Spree oP dada pit — #1 4 Vea tence, _— a Peers | SHeveterd ‘Devisltin —— L. | 5 | Prpstetian _ Varcenve — Senge ine — ee | {| 2 —— Ss - |e" = 2 Gyeay st 2 Cri?” = [- "21 r S bet Ata Dela Potats Aine Data ppinks Ns Poputebar Sere HW —> Sample ean M->__Popatebion Nea nh —» Sample Sire Sample Var varce BS dwters b nel So that ve Can Cryecte an unbrased eslinisey of epalabyen Variance by fae Bp WS4 5? Z Ow=3 7 “lines lol4s 2-5 \f 7 Cre _~ Dispessien og Spread ) hy Se as S72 9-5 3 | . foe 9 3 ° A ¥ ‘ 3 \ — “e 3 A 10 Pies increases Hey ht ecyeates ” 1 Q 3 4 5  ab Stone Yarn he ary a | a Ages =" “Bout, Nays ad 26 | 30, 35, 3632, ho, Anta, 43 5151) el So 25 — bin Sin Size fo. of | of bres = 1} oe | —|—_ "0 I ea oe 2 bin size Pro. of bins =aal ——— Ar | 5 aN b ee | a —._— _j—_} ll ee | ' j EH aE ___lWhen_toe _sewrthen histeram x eget Probe betry pace v rt te ie 5 10 15 20285 30 35 fo AB SOS] OF Pada cert Bing tor woh iy ie? | lel | A_| + ——_oet_cunve = a a Nt r — ——_| yeep ae | fo Seiemetara) ssi btjoe BT v nJo skewness ls ~ a ot = (Mean ,medan ord mde ag _e, peachy art Conse SS ——— we r ae il 2 [= = ‘Tr [tte 4 St Se Se ———— f = | [2 Bed Sor ONY Jedechion | [Plows Medes Meat | Box Piet a o3 ee ee Qy- & x O,~—O, Rraht Skewed Data Calso called Positive _Skewed) - hen _ ny perrbaten | =] Si POUR, ee ; A fits Bastaly much of the daa fs a es dt L—y Median Preseak on Fhe Side L—> Mode : (Mean “Arecktan Frode ] Box Plot Oy Ox Os a O3- 93 7) Bx- 6,  es i (ben rr S ad a r —— 1 ; x © ee 3 Left Skeuted 2 Aggabive Side wed — S| 7 ~ __ > acaencenspero a 5 i ——-_|_-—_ - Relarionsip :frn ean < estan rede | = a Box Plot _ Oy Oa Oa | —H Gy QTY pescentite Ca- & 7 Gs-e Bo is 50’: Percentile 2 a « 4S'h fescentile Covariance and Comelaifen — To Sirk oak 0 — mathematies! Felatronshep between wo Fandom Varteb/es Cee 2 8 dL Et YY] 4 5 ; |X booted, - Troe kind ef relateshys: 4 Yt —[ Ya] _ | g 4 ~. a ee ee ——_||_ ee = ; f pagena an - ; } | | ae aft | T| 3 i = SS SSS ae | Pearman Rank Grreta\ton E-} $0 1.) eee = = "4 SSesiers bac I Ys = Cou Chin? Ry ) Ed a S (hap) & (ety) E Rank Say Clearly Xx yi Roy Ro hep us’ tend \ A 5 # qedaktonshi ps a SB 4 h 4 § 6 3 gS + 3 2 | oF 6 a By “nl = 6 Uses. in Jedare Serectlon Dire of T - No. of Ae No\ 62 ‘ __ Serre t | House Toms | Peo agg ye has —n0— Corre Nahe ——— Woekh Pree gf House. L We can estar above - FP sd ih eobe of L ahue, Solection t 4 4 ers  a @ —— Graiane ard _ Cuin Jim ~ te — a TN a import Sealopo as ns ae 7 —“ Oks SNS Loud. hedarel Coheatth exp! Pr — ae | _ af heal 2 ee te a le af. Sevgy — > > fa Cov of _ wy Biloates path eve Aeatate Or Gry —_Aument La lues) Ta) [_ oy Pearson Corte ajten ———] AX. cay Crelhed = \peais pt) > Bras (on of very Bitere within Ee Cxiy Perbare Cony Maecee values) te ee GP. Gar Grelhads * Speayen! ) Probabrty Distribution anctin [ Denstig Tanchion Tyres | of — Awibubion Sacks * frobabritty ‘Density Lnction t- Used to okercle or tepresent deetinae Faron —_avvables « hows aishibetion 39) continues ato, Fe ag Hyp of shirts ir sean TH we wart +o calalate PEA C155) we wile _caleaiate Area Under the cave Bom 0 be 155 to act ryequired probability os rc tS Fouling Aesbribction of Ou data  Yorvtom " Varfable sf - || Se Rete eae. Ea S67 | regen 50 oF Vom: a f } = a 4 Probablity Mass fmctton?- Shows destybrhen of discrete ——E ———— $$ IL Tn FON N te a ae olete _ftebabit ity of geting evkher _ | Viet or Bor Yor of 6 =) tre i equ | 6 * # PO Bie PCat) + PCs +P =a) + Ke + et = : a hy ~ aA wl «el eer Z N 6 Gur & j | = 4 = 2 1asks ¢ & 3 : | 1 tits DB || Guwdatie Destechaten Faneton Cede) pe —_ Caynalabel¢ fren os} stor “Vat oe al ms cat os V7 4 J 7 <— ee NS ary 4 We are ate iaiels! ee age Garnate? Eye proba brirdtes OB hfon ANo Fving the L a. On  PaqeNe, 53 ; Dae: fog === Se - “Diuecte —— ‘Gane Pmt") Outcome, are Bites Gi Wyo cam ERT) a. Phd> ostp A PCN: o-5= \-p a > lohether — Petson sty pass of tat . PCPass ) = Odzp p Cfti)= 0-9 = 03-4 Parameless oO <P <} ts \-P Zou y —7 2 gercomgy — potaible | PAE > Pex CH) Keel) Sines — Ro Rel a = e! » Cre) Pf > Grip of Keo = Py h P k=) we Kee we E =p xfi-A ms. \- = g oo Men o*® a2 Bermoulte Deottbukion | & Ke pcK) pCKa1) = 0-6 a ee ~ c ” p Co) = 04 F il pe \ro-¢ _ a) O-6 = Py al  ee = ’ x x x ' ' ———— Nedfan of — Besoutt Dishtbetoy Oo ' 3 p< Ia Pre 4 Mea {Cont pet os ! Ve) Pe | 4 Vartente = Px Cirp) \ 4 = Py | c Sencar Devterbton Stas \ Py ‘Dromtal ‘Destitbebfeo ‘Th prbabitihs Peery ard Statistics the — binomfal diitheita | wrth ‘Pesenetees ND and P Ascrete Probab iy okstribrhan OF number of Successes tn Sequence of N indepadtant | expetmerds — Cath askin —& Yystr® question ani each ait Tis oan “Boolean atleast pdtcome + Sucess (uth Probab ay or faclere = q=\-P + A Dingle! Success or facture “es a'so Catted —— Besnoull? -tetal and baw Sequence of OQurigmes FS catted — Permou WP Process Br A Singie 4dyfel te pe) \otromta) desttbubtn (8 a Besnouhe V alistiba tel o ‘i perk Lak : " 4 \ { ! P= 0 and ns ado g i O38 ef 05 an asus + OAs at ” ’ ! «\o-f. oF sty i. . ° A 9-05. #4 # Gore 5 . aes o§ 4 ; | ° Is ps » | {yo v = a Qo —— [tare 55 a a _ = —— a SSS ————— _— Discrete Rarwom ertabat e ——T" a —— se met ~Srpaitrent pubtome #8 bimagy s at earns nn Sit __prokemes Sp odie OE epee te A coin | © times Notation ci B Cayp) Pas . | antes. he Te, W213: wy? ho. of tbriale PLE [ongs sucess probit tty ae pees bia) } qel-p Sugeest Vaya ble Ke Poe ee ny & Marher ii Banas PME PCR = y Prag < ee Ke 250-1 where Ch = Ph ROK)! Mean ne Vartante = NP, Std > Nog, ¥ | Poisson Dastrtbubton Discrete _Rardem variable Cent) | Deses?bey Number __ 0% events accusing ta Fred time Tnterva! f L___-_Paumber_ of people esting, Hosea! os bink ee howe  ree na | 80 < ae eap _ + {———_-— ‘le Porats — dala _|fe — wttnen (= Stand Ds a 34 ——|_J5'- poms fom lata te within ™ Stands Devtechiin if Te-Fle Points ie within 3°? Stantal Dewta tion — by Went of Shudents fh clase | Hest of slucterls to class a ; Uniform th ‘Digtriattfon / i) Crises OnvSim Desttrdton the conkers unttb im istebution of feclangular Obshrhion 8 a Aen of | | Syerm ebrie, prebabiiity _ aisbitbubtons- “He, Aichihalion chesintbed | An expertnent —qwhere there fs an asbtlrny oubome 1 | Dhak Ves hetaccen CerlaPn bounds. Bounds F cork. olePened by a Ont b Dhich are Minin — ang PCL uw Values i PDE " e — Motebion - L/G,b) Kel » _Paranebeys —20 Ya <b < co | n pat Pat = ek Br ve fay Lz i [ © __Obheratae i | \ * Gf iz fer A Sa ; | [ Aa Ser xe Sab] eka le hat Yo PA =f a “oe ij -, Arb Pen 99 | } bee s; 7 SSIS rg eye SS SI ———— i Mewn > = Meatane ays Variinea = 7 et = Sth = = _— i. — | &> Number of Candies sek) oath a a. ae: 's nd _ I Asirtbutet with 2 maninum of AO rO_ ond a _miniraym _ A No - _ Frebs bi ok duty Sales fo 2a béven '8 and 30 hs | — ttt __b= 40 et az 'd H Ay = 30 | 10 15 30 4p x =18 FOS * %sa)— faa, )a _ why bea => IS 2 OSs Sop 3° : ' P (x.> a0) = Go-ae9x | ip = Ro = O66 =66y. go Drevele _UniBen Deatbdaa’- TE ob oa Soret Probab? lity iskyihehion, — whewtn a Kenta umber _ OF niatevae mes actual hey Ie be obsaved 4 Cvew one | af bh valves bs C quer] probabFlipy ln «Archies vy oe Say toe goad Ya _Kowon Fite _nwmbir of Outcomes | Equally ¥ g Ishely do hageeo Egy. Rtg a Fair okte | Ph a3, 45, 6%) pevs bp fella Mae 2 7 fio! foe lsh 6 i é  nh 2 ’ Bh Pagel. 60 j } =: he —_———= oe 4 <== = © —— : — As! be¢ Me = ! > one beat ee: pt hn | — i T ay Por aw. Nobalion . U (ab? a ph ee a Pes eb pth Oe i a 7 t t t ‘ ee , —a preceicnce cE. ie: bh, Pete Un ay ; : Meare. Arb Q ne = a Z >. io te 7 a k X Medens ach i 2 handerg Morme\ Digh*buleon ana 7- Score “d= Bhbe Ks 2a, Site Weal aobibuted dala (assumed) Meanz 3 er kouwS) lis ASsamed : SAandand__Nesmal J 2S Dishfbution | “A=0 —_ \ = ot SsuD X = CA =0, ex) N é | ‘ag.se gs “L- tore 7s USed to Convert the Aa rma) Aisht babten Lo Hgcodars Nernat Orsbibvtron Le Score > Yenay ae  no Pageli, 63 — [dae of oF ) SSS Sr PL xe A Gye) emt } : ae tances a == dala 2 onfPobe we ake Sampres | Se | From dis _Poputrtion - th sampre bas _| el a _ _t _ Meebo feta a a "aed AL [ti Ph Ra mw, ideas tig iE |] ter Nera Aashittes | Sy 2 5 % | uta Samole Sze Sy x 2 be i ’ $f Sst t Sin 3 jan © AN hese | Samples colfected oti!’ heave Gene | trean = Hy We ee =i 0 a Copel ty, to, CLT - -jhee Lien valued will also be : necma ly otsivbebed X= 2% » YG... Yon d_| we B® Aishibubed mean ce 4 € BK E AZ ae 3 x Di YCaye) — “This chime Sampke Size MP z30 Sy = WM 4m- , Ze} ah a ee = Me Sy h = Sen — = ———  SSS ij 7 Caxssiqo— a ee a se Een deta Sot Levee Awtribited we an get | QA formal dishibaken of ‘means By a Sample obra Megas Easy to remove assump jon lnpedbanle Rr “Tokessexa Zo 2a Popaletion ie BO _| CG = PoPalation Std a A= Popatalin moun L\ Ht Sampy Se \ 7 Samevwng Axtrbrtion of Nea 2] Y 4 a _tan Dt CLT ON Cw Nya, 6 | 1 6 \ . (vn / i , PoPatation mean= Sample meyn it i: es bat Sbanctard derbhont © ae x St __— * = | | | Wi ¥ ——__, PageHo. es = Owe of “iI 1 jr ee a — . Estimate: au NS an heberved __ arneteg | MaMat used 42 e@liewle an _unlewion — Pepilehion Potameter Point Estimate = Singye_ nuctenten) value Ued 4, Ostimgte unknown porslatdn Poturneler “L, gy Single man 18 a poink —stimabe =P Populabto, Prean rs — Ce “ ig Pott olins wor _ — i To x 2 “Trlerval Estinebe Rage OP vmlyeS Sed Lo eittinade the wn knows — Ppulertion Patmetess Toterve! — estimabes of population ParamelerS: gre called Cond tence ly iad \s — 4 1 x T fot Estimate ConRirence —_“Trterwe |  fam — lag | Ome of if - =—=—_= SS yey . . | Regen BO-Jo feat cuttocd Coasideme Tt rye! a Ay nw Rreqnce Us lue = os Ovor Confidence Thlerval 4 a. ox! = I|- aos ; i = 6 = i a : . fe oO elo — — OF5 “+f F — | Tk we ge frsbabiti ey fess Den Sigrid came I Va\ye Wwe refeck Nyt Es poles Heypothest “Testa Act Statistical Analysis Ol OT ter Fee 7 de t test | .% 4 able 3 Che Spuare 3 Cebeee Data A mu, =) Varfunce L test i Ropulation std ts quer w n 23¢ ts gis \) The avercye herp of ath vzesidens tn a ceh is 168m, © ‘ v “4 woth al ea St. A ortor believes the mean do be ARR rent «He measured _ the hetahs of 36 Irdevtuals NK found Gerage _helght 30 be J6a-Sem._ J a State nal) and Attomee c= bl de a Sr. Confedence eve! | 5, Lhere do whee __ pull _ hy pothests = U  PigeNa 69 T Ome 7 7 ————= —, — Se 4 ' £ S$ — {> 168m o= Bq N= 36 T= KS om t= Nai! hypelheis he Mzl6bem L AMerate “fypsiws by 4 tiie Po Tetl Test} Coie om it = | ee we dicter or Jay wo ee wee, fs. LAN pred ce) __Goatitene Tatewele 0.95 ae Ss l-o-ngg ~ = 00T De CSibn, Rowvtay Grane hea fon st pe. Ts vo | T5'fe 59fs Gagion HDs > Ref ection Regen pe WE = Caley te fea) Boos | uncer dhe Curve From bef dn the yey ae OWrea AS 9S + Se | > ab pe ig. a 9st We o buve to chek Br thy alae Pn _D- score ble. After chedki we ga Z- sore valve as lee6 We are Peneting the © \ntwe -Lhs teme not G Lhe Area under Carer as Aver uvder — cygue _ 1's Linpiom <> qrqysoo- | Akter checking — oe get valve as (ge alls oe, dig d { Ons BB tp 2-5 | [ <7 4— _ lve. =p 46 Sirus" ite Stpernthcca : Sees  i = {fess woe gery Slalisticg| Ana you ae ——_|_ke dete ey o> Sample orrmsta toring ei 6o\IT : do Cerbig\ lek theese a Ieee = \64S- 168 Aer Sample ©= SWS -4 eo A the OT Saag Ihren = = 23I : Since %3T ts cider Than 1°96 and coal not Ree bewieen “146 and ANNE woe weet pa he eathests - C a Useng Pe value | . O- Olen, = ; a I adil re | we q , 29) 23 Chex Aedl ty 7_-steee table aoe wilt get Valwe os Or Olou4 > Area unser curve So P_value = O Court O.6 louy ! = Oro ORF (F p-walie SuontFeeqate © ORK Xo-wd LPheret pat ftypothests 2 actors 4. manuctacly set hubs uoth “\ avera @ seta oF 5 Yeats | orth Stanchrd eviction of 0:50 . A yorker e betteves thet bab ott malcunel for VO fess than 5 feats Ke tests Sample of HO baths ana Snis ave ge time 4o he wk its a State nl and aldtemate polheste b At ol: Stynifeane Jee! 1S there Enough _@vidence do Sup por ® “the tea thet - earrerts Showlg \be yevisedt === [rgene 73 | ; } + | Ot of ft | —--4 a —— sy . -_ <r. x £ SS ——— ‘ Lae "st ——— dL ~ fest 1S [083 cLhan d+ OMS ana gue Lhen_ = a: ous woe rey eek Nut) Hy polhesi's ee : = > hs fe a ~1v0 - aa (OP ee IL Slve 2o\ V30° _ } = loge 72. ONS 2 =) Rey eclirg Nau fy pobhest's ey ‘ ———_—— Conclusion’ Medecettos hat Prcveasey — (ntellupente thers do use | V—kets vs Z- test De you hres Peputcen | Sa 7 i SJ]. 1@ nb ‘ren H Use b-test “Ts — Sample Size _aloue 30  ud | Da Type | ancl Hyee of enor — oe e I Realy ?~ ay Laypedbesis is True or Maw __Hypattesis_to Falte ee Peasioni Nat “hypathess fe “Tae ox _ pay Hypathesr® 3 False L | Tyee | esropt— We wepeck Nu kypothesis — Lohen ip I ( Tealihs YE ts- Tree 1 Tre Reemrt= We “attach atl Hypethens when in 1 Teathy Th ot. False — Type el ¢rior ¢ f | | Coniclence ‘Theale Praigia of” Enor 7 - ! Codutence THensl=9F)- al al i - 1 | | pt lg | Rink Bemates- A vane of ay slelistie Lhat | <akmakes » ‘Lhe vale of 35 unkneon Pepuldlicn parameter i {8 Called poral estingte | a ———>_ Af > Population morn | Semele mean 1S a paint eskimate of populat | _ | Mean I CBrence Trikerag l= We _ Contract Q _conftaence Trtervg) | bo hep estimate what acLugl Value of Unirown Populertion mean f% | i point esting te t_ Prey of ein  = f a topes 7 | j ——T © 1 = a 1 1 "1 “ eo ' 7 F it n Se — uf Z Lest a Se | Ro + Dy © tees SA ert vn a Fe . Se ———— —— — See en Za. Joist Es Demae Oxk Deck he ths valke i 7-labe Lae o- dat] dest - be a qs wi _get 251 5]. =e \ra6 \ On verbal sertton oF CAT erample Sample leviatitn 1S Kren do be on. A Sample gf 25 tech telers hes a Men OF Blo» Conthuck co IS Cndene Tateres! beat Lhe Meg | te Ans ie? &= 180 “nzas CT = 095 dons Aven ander (Nive = Se = OF. Check 09750 in “Z- bable cok aye) att Lele aS +96 Vos ast 25: =|96 +6 Se leeten confidence “Lwtevel = S2Q0— (196) 190 = Ving ' V35 Hrs her ConFeclente “Trhecval 5a ot{l- ae) Klee = SST2 } Ne bs U o Saye r seth 4 a jog 520 5a  Pagetlo. 78 T Sarn'e a0 wo Creo ov ive le ee _| | peg meee 4 J , ditt Lon about —— “SG Z Atel i S| Ravn yt hmdet 30 ha oS i ee “ph ie hanced yo 88 —— sa a Tn “gore Conny oF Be Lhe yo of Sairaisuals eae jo 4 smal City weve Pains i bo o be pe Folios Poitastn a [Rie v| 6] 795 f | Qo | Bor Gor. Th Qo age of pzS00 — pradvals wee Sampled. Belew are vesults | <50 | seas. | 088 | Tho xe ico | Joo | Using Azo0eS woud qe Conte PePp4l ation AP erences Of -werghts' has: Chang edh th last 19 gears d : @ | Ars [<se aa 235 [sy Eieets _ [ace Bor | 50} | ‘ See 50-95, | ts ol Sider Bron Samp'e |o_| lee ! ace | N= 500 f yecvked ale ay to _ Qo Census feeo J Seas] 235] Dot nseo onek Soo | e0 \50 i RSo / [ae © [ee 5e e500 [eo Pawel, 79 - \ Gan ¢ 7 \ - / Sy ie ———— , yi m ' r SSS = —— lee 7 si ees al Si al ! Mary Hy pobtesis e Ho Dera pay mreet® — @npectatien | Alonte Ip reiisis tty Dela lew fob reek oxratin ~ - ~ A st oes OT: as s : oo Mo. of cabegnsies = 3 Deg vee of Seedon = W- \ d ~ Lisle} 4 hy Decision Dione caherce Aven Chek Chi-scware feble for DOF=2 “and oz O-0F akiyete Aico Jou. Gal At Cretreal ee Crvbkecat 3 — Value aS S+9q| Value 544i = 2— Te Se pent than S44 we vejeck ANI Hy pothrsus Or ee tee acl be yeret— psi) Hy exthesis i “Tes : Stabishecs j “= 2 (-p* E = (hey + C0}? + 60)? {co [Sa 250 j — |boo ~ |) lwo + foo joo 150 250 = |G + o-66 41° = &b-b6 H> = abbey 5-H f Pyect May byertheses) (Wecghke of ede _PrPylative are Ac ffeGent dhan Lhage  Se - EN: ” . ' " Ss OCRed On 2010 frpatetvan — rd - I Chi. Haave test with ‘Ppphoe 8 Chi Si i H init topo sages shes as slat —~ _ | i n. Ss 9 ap ony Sd | : a | Gipeder dian LFiey Bee a7 IN wo. of hours Stsdm} Sty on weekly basis 9 Observe olela= ie Ty 6.8, yy 6d i: Sea eeseeetidels | 3 |! a aie “beck a Sint 1 P-vslye = stkch iquate Cobsemey clarke, Crprcter a, |! Chisguare . besk_ stebiste, a | Pale | By nv Ferante_ vate =. oO 05 I Ook = Bea lesfected dake) —) Crebecat _ Nalue = gab. chta- pet C= Si Fiance. Sn lwe jot) vu i Geheget Vatae | v2 gy Chiko vere. best. Sedlastre 7 chet valves Print CO Reeck Nay Hepothesas" ) Ase: | Pent Accept nr Hypothesis) ——— | t | \ | Car eadatio on of Ve rignte Radio f- tes} a SP a oi Sa ets | Decision Rule A eens Area a dfii = 64 =5 at, g-) =F} are a= 0-05 |? Rejection Vio { Creer ala TPF desk is quater than 3-92 3.8% "€(Oheck Fabre G tat degree Reject Natt ly pothesis OL SF caloy 5 — }-33 S 3-9} we Par) te eject Nai a ‘ an ¢ Leger. Hypothesis / / _ Oditel Lave) Uv 1 Conclusions Wo ger Bis iret chica her Ceaparet to Worker A + test with Bbfon : Sc. Dag. bys, SSSI (der ker 1 = [igus 5 22 a8, Say Wergnd = be bas yt 115129. 2512S 5 27034) | _e Vac (rorkert ) | ne Nar Gorka) yp) dentvoorme 1 TY. Deyee of Feeden APL > Jen (vo Ker D -\ Sj nvSiteance— value = O-0S gor SO. Sats as Shek 0 _ ae =— Pe  ‘ rs ' r Se, a 1 % ROTA : a = #9) _——— fest #ppliCE ie I- Syrifimnteavalue 9 Airs A , Ate fa) — — OS Gita vaiae 3 = — Ara \ysss ot Veartance CAA) _ ANN 8 a slebiten! method sea bo compare _eneant Spee UN of a Or ore Ge . BE Few ti actor Crctabtes? zt bases ds | & W factoy = Meevenes i leak = Bing omg omg L Doseze’] | fedles > Mote Of Pay ment | Towss Gy, Phobere a IMPS 5 NEST | Assumphiong ta _ANous ©) | Nocera \iy of Sampling Asticbho nn of Mean Disbrfhudton | oF er Mean ’ fs Foamy lista tb eel (2) Absence od Odie & Oud yen Store peed 40 be nemoved | Siem ddedaset oo a? 3), Ponopentty af Vartene :~ Exh one of pepuisiton Ins | Same venience A aS = os ‘en ] ae | Jeet ean. Cibo | Popatarion Vaytance YN te&Pe rent Aeved of each | (nd crndant — LryPable ave eye | : Redtpenden Grd wanton of Cath pty || _s  <= . SS 2 an ere BL bps OF" Aras — neg Arrorg t= One Ractoy uth attteask Q Irvelsibese Aw are trend \ |b. Doctor Uden bo desk a new rrelitelon fo ewease __herdiche - They spi participant ta 3 Conditions Tome BO Song] + Doctor ask _parkupenls 40 Yate hewdadke [)-10] Medtertion = {rector Jo en ao ey Ro mg 4 t A 8 z - - Repeated Farrer Mesure Ano One factor uath atleast a Severs * Lever ave chepenchnl ing aaa Day ) Dey 2 Dey a [Peceasat Sects) | 3 5 Cc t 4 3 q 5 } fachorte Anew- “Woo of core Farts (each of which world atleast 2 teveis)} , Revels can be otther Cdereanl ee _cAepeidant  - = ns => a-l al ae teresa ames — al { = 3) LS ME = tL ate. =2 < 2 2 i = Be a x z a = — Afton = Noa —_ = ai~=3 C28) = a oS = 1. - Al = —h AS rc s as = ar-} _ So . —__FCAR 3) = , re a Chek foie ee ovey ee Reiectton Renn 20 Rep je ae CRE ey 1! Value eona 52 Ee Valve coms wee Afi = | APa= 15 q = 7a ae Hamel es nef ot coos Ruvet~ Te op tv geeter dis & Sau ——_)_ efeck See _ = sale! ee rw faaes eae ——_ Sees Wey Sara  ite et em caratiaiaassinacciemacemaammnemmees : > Sum of Sqare - = belwern SS. SS Tobey hn & (ay_7 _ a tt Sq > Arisa pe Soy = 94646 47 4 G94 = > Sing = G43 fat +4131 = 2} 5 —— = Sp aye _ 59 t4hat] + ol = 4-6} SS wei, = pe SC 44)* n = ay | 3 Ay? +a | | La J Ly Acta every uike OF Sample. Se basttele ¢ a ato ai) Qh values Squaning goth Ualve v Byte g™ Bt +P BP 48 492g 4 Pr He cae = 853 = _ BES = [ Siew 7 3 = P-adgy Oa, 2 29 ~ TT? N = $83 [ (52 +49 4))2 7 = [ok-96 bay  a ae I _ — —————— $$ i a le-ay BY po | Tora) a COS oo _ j a7! [Orage = ——_}_ a ; = dt i | FE Pisveccen = 49° Syn Fb-S6 Ms within Osy §6 5 Qe, yy 2 S854 | Heme Reject Mw hee — me Refect Nay ba peclheas