2Quants I4 v4.6.243 7 29/09/20052 Priority 1 Priority 2 Priority 3 Priority 4 Priority 5 Priority 6 Priority 7 Priority 8 Priority 9*SolutionMore importantLess importantAction MilestoneQuestion This is goodThis doesn't workSend information Phone numberProblemRiskDateWaiting for information In progress Cut this outDrop it Emergency Information InterestingPendingCoolAngry ConfusingIssueFixedDeliver Not allowed Thumbs up Thumbs down Compromise Make a noteBudget information Read thisResource assignedMeeting or conference Read documentPlaceLook at parent branchBoth importantTask completedTask not completedGrey HighlightYellow HighlightBlue Highlight Red Branch Purple Branch Green Branch Blue BranchGrey Highlight22 - Arial$&A2  See also:  See document: 23Quants I2333Arial"22 22 001152(MgEAAAAAAAAACgAy/w==3 false8AAAAAA==9AAAAAA==:AAAAAA==;AAAAAA==<export-status>auto</export-status><slide-type>auto</slide-type><heading-align>auto</heading-align><bullets-level>level-auto</bullets-level><image-path></image-path><use-transparency>false</use-transparency><use-border>false</use-border><include-speaker-notes>true</include-speaker-notes><pot-path></pot-path><include-title-slide>true</include-title-slide><include-title-notes>true</include-title-notes><include-hyperlinks>false</include-hyperlinks><include-summary>false</include-summary><launch-show>false</launch-show><use-map-style>true</use-map-style><use-smooth-graphics>true</use-smooth-graphics><outline-style>111111111</outline-style><outline-level-max>outline-level3</outline-level-max><outline-indent-max>outline-level3</outline-indent-max><priority>false</priority><start-date>false</start-date><end-date>false</end-date><duration>false</duration><percentage>false</percentage><resources>false</resources><categories>false</categories><export-empty-notes>true</export-empty-notes><export-notes>true</export-notes><image>true</image><image-details>as-shown</image-details><image-width>700</image-width><word-template></word-template><maptitle-style>Title</maptitle-style><textnotes-style>Normal</textnotes-style><branchlevel-styles>Heading 1 Heading 2 Heading 3 Heading 4 List Bullet List Number 2 List Number 3 List Number 4 List Number 5 </branchlevel-styles><export-relationships>true</export-relationships><relationship-prefix>See also</relationship-prefix><relationship-uselabel>false</relationship-uselabel><export-links>true</export-links><link-prefix>See document</link-prefix>2home22322>P #E;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;222 com-mindjet-sync-mmoutlookcom-mindjet-groupby0com-mindjet-groupby1com-mindjet-groupby20code_legend_mask1priority_legend_mask2map_description3map_description_ro8 color_legend9color_dynamic_legend:highlight_legend;highlight_dynamic_legendcom-mindjet-ppexport-formatcom-mindjet-ppexport-branchcom-mindjet-wordexport-settings2Dr Gwilym Pryceg.pryce@socsci.gla.ac.uk Gwilym PryceDr Gwilym Pryce222 22 TaskModuleTopicC3L1: Density Functions & CLTj22i2 222223ItemC3Lect 1 27sep05!222 2222233 1. Review of Induction material "#&22j2  dulexUJ@M*FҀ/p#Uqv-(ZS Mpu&Mn$I9dM:FbT)a5FJku 7$8@͐Y Uzc|UeY*̀2UXA°Q+ ہOUA*q- Ntrx9;x]έ> _>fYADTDGɂi][nR Ç3goD ӂ`Q?CX]Y}wpD h޻E^~@gx3kC޶@=///8HDtqP_8f/f{n4;u}%&:|ZH`TAutLD>7ĺ05ˤ08%\SRC]cbA~^XcƜ$Mo0X}ȩ}G1hi8C)LJ; “T3_? ș2222232232. Density Functions "22k2 2222232233. Normal Distribution"22l2 2222232234. Central Limit Theorem"i22m2 22222322223 Lab 1 3oct05!222 22222339Example 1.3.3a How to Create a Histogram in SPSS p.1-24e"&22620u! 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Chapter 8.#V222 22222322222222223,L4: Confidence Intervals for All Occasions#22q2 2222233Lect 4 17oct05!222 2222233 1. CI for two indep means"b222 22222331.1. Pooled Variances$%222 2222232231.2. Different Variance$222 222223222232. CI for two paired means"$222 2222232233. CI for one proportion"222 2222232234. CI for two proportions"222 2222232235. Sample size determination"j222 2222232236. FAQs about CIs",&2221h 1h JOkx\[o["@H6bܨtM[NlEuemdױТIt;$awg0(/hEQ4@^З+33{#I%Ȗ(r/y=bwҷ^XY?/;)}VS'IUz3`.xғ1S]bl^bwU\q2= LZZ laXY8OK"rЂziO|-bt`֔+lߍ^~HaCH*0j0 ō)nnX`mt (>-m_;},Ϭ׃Km@W"VրmO=T&ݦ]Y.V!- ): ̇pf*nZKO{[ {v6=LlC,'n2ZP.g'NC,E*B02|"u >2Ih~s 歚t>*6T#Oy*!t70 }gosA`\W+ $E *_ĮI'ʓ 5XLN.M+UsBPY.8ș_xG06"`f@ C n=عGj6pVؙm`V0[4:!U֢vhN {aJ-`6M!"ɑ" Cf 9`NAz,&8X!UCx,7ǞjUC::$ W*ld\Sv yN>-Df^<*'q?*YA b>%ho"ipiC$I?Z`)zS0EO*c;LR9znQyejU[]0*dq.%>3Lݡn0%H3H @)^ĽTW|ysJ͑iM%ǧCuO]LG ]QQ֑ \Yn?ِIHp v "od@CqS$P9 Yt*]j1`qܚ2R@ ? $27"0y H&-xc0˥ZI5GX[I@ڝ2{XA>IrIҔ4:=̾OzCKE#yL}Z51*ONh  ASr`–Y#*ׯ/ksxZzzumv~.AK)n vz/ n lxL AeLa[ p`j ׯ,Y d) HK`4aC92`ҫc#.*;yGR,Z(b4svT"̥W_TR:pWK(nO9ݿc36AhR.! U^渡E!tZ$/P%nB0x.@4&&xphqJ8[u(^Niy.ӱ9Dwv 3u !1Ά zJE>T೎PK#ȳmPOf>fO4U4g·εBHg^ ֒Yt]i#M[C=l%⍶Fh5~M45TPF"t$}W@k-yM!:Y/L_&͏\6 Œ:Q$,lmtod%W5JФ͔KYbܫ : RgxghZcӇM+Ϧ8c8{fT7GJ=G96V`M+p,7WM+?VLQ6m:M+0#~ Lsr(jZRn3zmNj״?7siݲ33~E͎?*#_ZL~=3g 5́FSO -f談Xc&Udns5x&SпVyd6 dhiNu9kZϊ^!i CZNc_tYqv~ .e8̄>5u4"I&N⋧KlZSK52s,67NP֧'(trVc:7!~Iy󿃹i ǾσX'|?=#ú0,e+82V뿛KK=jv22222322223Lab 4 24oct05!:222 2222233MExercise 4.4.1 Pooled Variance CI for the difference between 2 Means p.4-16z",&22F2pdulexVo0vn!n"MnLLk6R$?.9p#Qc$^ܴHCK:~~dV}v-$Vj (5k`KKmO h7H Ek*8HCT^ E*'v6=h5е ٵ6mOpDO<0s{>no=_*!a};=쯎sܐ"̠G 8sa@BuAVסa^R ۹+ukD+N`,n)E  ų=2ssbgi><L Gi#qUyK u%l:+kϾX;+h%K$FSe1YLq RLO]kRB)IM)sH')bϩ-"+v'^[m{> ,IJ]r{_lX.]Jᬄ]>y_222223223gExercise 4.4.2 Heterogeneous Variance Confidence Interval for the difference between 2 Means p.4-17z"&22H2H4(RxVn@u)J+;PԊ(RVi""%j XPd\[rv"!`/ɂ K>fvZ78R3z3g. fY  R4འ˂ZEPTQ!b*h &"-12`5#A5 e&dVM&W%YHzIfZqin- |K1:Bhߩʭ%tXcrf^w g2|>fAEAg&SE} ZSM3w<7AǾ뱗(weu=# *vP<+ "t<67w۝;Re@C~.9Un!rB+d1J 7rz)%GVMEYi9Yz:Hm I`V("(;\pCizZhlۄGϑsfEMh0&c &PK F^'Hmjl8!0iF:㖞LP**kΒM<.Hp|EӋFƀR4ǴƉrLpF l\t`%hp`>ETq*&cB׬kdY 3G8q+(p8p#v+USSe;@k%ec3$ `{zTA~5p Kz/eR1CF 5'tA^BR|>XvЬF)[^ Ԇг4PѬ:6  9@-iŠNNZ⫶`]Y3_m1Nu`htlDՌ 7 %K$h(rGd hY\I9f?($k?Yd6RxE 70 ,FR36/'g(MQCXy]yZklf ǑJ_(-J;go2׾fm6x<zfx[H*p='[rƽ{<תq r9 >o=&F.ExN͢VK$7TUU<(wh c~Zm@ϕߡ($D¬Mww, R"xemSY˴ͼC5M-X jۧ;7nڇxW ϯڎ^T)J\٭5iB`?׸AȂ>*/!*'"rLT~Svm;HXm#g5YCUtPq?_)qHN?NJ.-NCsYm#)|26܅ڷOuX0p}l2۾@ ƣZ?֢?LC:4 4GR @.O5ʉm3$ 2jTI6ZJq@W꯷-!RJj6*XjKK6=IuRq0 "hR.I}WWnxg$W59R~Z^{)⍜4g/d~~!$ !_/`Uŋ8?guV*VaUݽjSw gG}Y\-1&'iwy2g_D돶Ƅ(8tȏ4ZnK4ZnF ~Qf`h9n&Z@gg:"Bпu['x6/LKg90spYφ+ Z\~ewdQyMG6tXbm"*y0 \k.ך˵&riPjڅFû<]Fcrv2k.1]c2(j<'k/hKfQSWGնFװrINT^߷h킌(cddRw)#C ; .mr}SKY|X{}M: D  2f - b#0bR0 (Ey#^lglGY䫗T"Ѐ4}\(!B&'Ɂ鹃SĕLQLjԣPԞ4Zyow w&/]#z"uZ/,=upftkm*nYdf2Sff'`Zӏ*6Q\w]h豿qE}N/c>ŕN ]R4 L(_ck QA,uW&2{^9Ml;d,%mnȇ!MZ۾q< >VÚ!Zn-6L@jk-{@Hj^לA7\_ ET4TLjkQ,ngb)6aT!I`>cn{ e Q s '6>f _RDm2e| t8HhQ4gi |VYqۺL4-%4CC T)f}FTb](}wN,:HWR| ^@j!6n½ԓyo 3DNX)Rgr GsҞz4ִ7PWVE.jנ!A3|{N{~z:1JD3+H>Vq삫YĝDMׇ݋0(uQYB ~<%h`TgtҘ3XǙJˉ-"agA[6 N^*p '\Vl{^jx#pb䒺SҰ6H͊m\ yP%Q͋L S,zZȰq5TZ%Z6[1r֭(^|x ؅lH!7]7*JVD^ iqV(Za'x4PI; D <_[Ի:*(=ׄ-Dֻ9dh%WPmt5o-%Yn%j$Li!wq0o1gWl͔$=Ȟ$31+~ v4,:' K钎^#|EVjt0'Sw__Tu"v&_$)Շ~o Om?y^`ۏxvoZnMMiyS7-[R=mx-/7zZ@ۄ8E;9w[XYOSQ5=Z{KQn"'6pC89{ӹOpXnz"JSJ|& OݵOw]Oֈ,޻΢e݈OHgfx̊jJBl,~5"5>>m_`_~ު#Wxm_Y>V5s]p^Up-J|×ƛ`gLGݤ)[~Cw'p#KxkZğGUrź'ei[ނ,4ٜI3 i}Ny4KliKiOv3m=w<[%9]`k 4\5"o݌)@ a3rM V+c^z!.wvFwuH5.:\nŹ_ ;d߽"PN6}Ok~cіQ&vmw\oYypliW}7Sv?WW2,r?lP0222223223OExample 4.7 Using SPSS to calculate CIs when you hav the original data p.4-23z"&22J2TT TT Using Sx\]lY@6M`X{(qQ؆b5};띰;3k7*UQ>TyT7MP&yLPTURKJ"NϽe3cw=|9޹;7+iAQׅ8 #MBq>ƣ2Q)WQ1NjhJQ⑖㑤(5o.0Dtp(+BW3HE!+R`n`PRD O%YW9lfQL{ AC7{h賽(ՉI煬+!UeWU8`9$]uPe>-dɵ<<#P={a8R|H@B9ʐį˫`U3O{մ"j&AS8!"0~tO;HK=u-5$kXN+BTiEB^I <ˆ&AR\ rG}~T ޱA5Ri)u.Ġ[BRtz,YI)F]F&TtGh)C*h{2dE׉etj _Q%WhXXCi,%АƋ"DǬHVݾĴzDX ! <&'ypLUhNdM) AUG[eڂ&GDZBv[mm)dk4MrNsk5G񘉮ժެe8aSV&*N9 Lvy AeI&)bPEIْan>+V[c+ $ h4fDhO+JvIfnIq :7Mlt&ns"BtW`j e UʀB"5U2 CJ05G#$'i9k㚞;SF{ڡT⃘Uh 92#YL4O%dYU9UJE1/a]2ܑCϠ9M[, ).-qGUnws==bM,0w=VPq N%,B~:_6%ԜEAYTr '-I xkO~==#젶6=ab:Cl`>ux!b|sCd&iql%n5:6^ՙi^20v@&OnNfR\G\0^f o3,@,x ܡ(3p(^Xeo:8xհIE1ac~Nsa{؞1naQ́ҳlO;lۓ۶Twk2=llelGy%aQ́ҳc(1`;htpɾǒl2l"pr;lO¢g lD`a{ضTr3= l]6;lwۭFGE1K6lE`a =5mF !۸ö,uuw6l%(́ҳlojae{2[O*^/r=I.,9ЮeU1e8! p͉,DJNuel(\s0 QQ  FjV፠1tͽ ~.8L/6(so<!x7Հ^/f5 Ɯ䞒t12ɹH^u$g Zu挑|#MzW~oHCb!zgk¼9xQjmM/=]6dۖ=Ux]G*~%UCS&e|*݈M!TjvrV_*Fcp{{f<O;c$2V;u;Kmgu,Nn~}uLXK'f]v |y!/㮤>׃S>u'(@󕸷 ;Pn@OGnmn.1<~+e)Ob!]f!_no-A}'!@=%AC|y  6˭%Qw_&QkAg 7x _@$iOH#3C^ 3+{kaռ9e}J'vk]ieǹh̳3dD>{xJD6+ n8a$rx.o77a~™_ʔ%222223223EExercise 4.7 Using the GRAPH/ERRORBAR command to compare CIs p.4-25z"N&22K2HmHY(RxWKo@vB۠H (JA5-Q(Mũ뙈#i' koLy+?5}tQ_sEQ2P!<;$qQ?9I>}䌽F^QBňK*h4Z3 zEAavӔQ i⒲]N*!e0㪟ݜu]v3{21Ί*ι8-r\8cw5sGN{Iv撟H&Jp8 şaRyȆ:l&Z-L(@|z#>$c48c }K}(^e:7o ^H>-햨N(N폙-Fɯ_fE>~mf=|Y,>ws6 Qۏ=UGDy-e222223223(Exercise 4.8.2 Sample Size Determinationz"&2222 (RxW[o0vBa썇`[!&1Ml"m-rn BO#OPm-8,ך: Kdp 5\xQ Ϊկ[USh5&22222322223 Reading 4!22k2 2222233Pryce, Chapter 4"222 222223223 M&M 4th Ed."&222\Hdulex I-.)VOSLLLNKNTļǤR &$P\`g VZZYZ_ /O-Kg楥 WH,VHTpIj* ,HUTPSTH-*/*VH-IS/ّqP]jvnHso /8#A }j`ԃd;$e\XuABa?@a%N0 $gġα(31=(\t\!./Xwg楧q1 fV"@+sIlHv$6ld@8`1G-0GBj 2GMlT?96s{p3!֜0+e #dA0 {ncA;T r(3d!u~t8nP@)x:u,n4h\$@LEj "\1rS%($%%d(畐g71?(?cs Hl;~@;P\摮 FRJޏn,/XYpa,>$v\Hvihsd`h҃6|@22222333Sections 6.1 (p. 415-429); 7.1 and 7.2. Chapter 8.#222 22222322222222223&L5: Introduction to Hypothesis Tests22p2 2222233Lect 5 24oct05!222 22222331. Significancey"222 222223223#2. Four steps of hypothesis testingy"222 222223223(3. Hypotheses about the population mean y"h222 22222333.1 large samples%%222 2222232233.2 small samples%222 2222232222223Lab 5 31oct05! 222 2222233>Exercise 5.4 Large Sample Hypothesis Tests on One Mean p.5-8`":&22L2(RxV]oDݴE"o<\ćRX-mB ) IxAس;3JU/P$cR_)pNM Usz=s=̵s aջ_3auXِa` J·-&o'q0v Lsδa8°8KLP%_D^J\-|y-|hsfvBzmw1AyյӤ%XPҐ`ҋ^" iid~%]<|OgV$(),tjڐDsv6Ρv#aBt7۩F9 _NQiV=#;JDhNÕb 0P54tŻ pcEE"?Y9npŸrjW׼`\K_%Q.-u`,0@{юtY3.ݕkއ.[$]jt8"wbf]nxN*bxCUtQ(Fcy n8vUbZf{goxw~xK+heҹe[F~oaZz9U=~;*.Exercise 5.5 Small Sample Hypothesis Tests on One Mean p.5-9`"&22M2tA tA (RxZ[GuLb/XA ~A6K^5jUULK(W?  gz;{u=][Ow9绍 lsdlvuw3! Łd3 [Ի#myQhj9n[8 8$T!]#Hs10'xR.367V[f3MXE'mePcxeYA.;Ik-ɼpҖE`V7Ai`4d"Ti z|ءB$.jK(BG܃#DS 02NuKZƏ S+uw*p%w@ dFe 8N lud"@I9&J] Mf2~gO؁ ̰;y R 8$qXi|. F4p$!9L-R>^y0Tv Q0u)i2Ա PL1tWPb^]j`nnu)$c˰E*P@m[]鮱ҡdzSWWz"P i(3}J ԔwP\vR$re:Ri,^$$5 SԲ2(ZJ=[r*!t[e(s3Dl]h< 閨ߤQؠz U"d{Lԍԉ>b\NFp#GE7V^TIcw/yNLAglpIjSDx+yZ>4#7732MhU:BLM0īQ唝^9O }!.p}/@xU(xiE~4Z_ o(K4FPKT  fB9>Hюɕ% k:rO",Ct،<k{, QpSlXXGɨ\ZC$l J֤w|R3p_x6r8= jsy ~_e/959 pgx} /haS]zkÁ`~EԻ^7]١ W)n|`KMc@(:N6Q^i)VvUR&ذXJ9>YMJLn' Ir q!&&ɉ ґ1枑&]fC$5ah[d-RxS!F^oHh{p Q0@):Rfe.9ǭ6jSC* ~@bT+_D, [fC8 a탶Q)5 +X!YG!kπT&":D?nQppDAeM5Q4}jtf7.71Am%MQp>T=V>BiO'R=o\ (:*8aav1;P2qJ6 Ӏ #XR SmHœI;x_|$` 7۾RQa Æ~' l7w;׼{Y](+¬y5gdfW/fWuu̬͹圏_^R|K˱7gYsY97_~),ٙXgʌa s-8!=p/:^lO<0e>zFYml_]gۗ{nc*l{|vY΋]OuŶ]֮xxaT\kݹ9u|3ș.!'iu$G}yș.!g¯su_3q]Bi~M~Uu 9_Å8[?xsک=zAMBޛ7'M\ ywOV_:]HAqmʎ _Wjџ({i]WN21]ק6>t{:wGDL-55/t庈=?"E| ;WUKSz fR{6׶?Ϳw:z+q땾MO22222322223 Reading 5!X22l2 2222233Pryce, Chapter 5~"|222 222223223 M&M 4th Ed.~">222 2222233%M&M section 6.2 and exercises for 6.2#*222 22222322222222223L2: Calculating z-scores22n2 2222233Lect 2 3oct05!!222 2222233A1. Calculating the probabilities associated with z using tables\"222 222223223?2. Calculating the probabilities associated with z using SPSS\"e222 222223223<3. Finding the z value associated with a given probability\"222 22222322364. Finding z-scores that bound Central Probabilities\"222 22222322365. Calculating z for a normally distributed variable\"-222 22222322346. Calculating z scores for Sampling Distributions\"222 2222232237. Students t-distribution\"222 22222322223Lab 2 10oct05!!222 2222233Table A"&22 2"40uT0u 0uU 0u> bCDFNORM x[ |TՙܙI&yMI!OQ|UA,HXBZR⺭X_adZŲ*[G-V*mٍnWZv=s{ϙɐss=_rI,T*n8z]E-W/ c=*(Ny~7ҴiYa;ڟa2{Ep8ݸ Xk|bhXex:a^Ҏ5m:wϵ(/ph(Y#(_xǚΖUbZP Ajr]/uv}h6.j]ղ&>e]smV/>xu]oey}A0#9'p '`}ةEMKVį4iusSGs|~[ǪmKllmY90f8T9ry-93|WLXF>ǓFr^î+'6ɾLùk27AC%Gg>g.wth70\cd}>CcMMPy 6oef|@m6\۴tyeug-%mwۖūɬEf)3 (${f|wOh-qY̹2~VATo zvj&k;noybf(g=sfʨ93)|\tDBDѻNz]B#q}E|&l/ڿO?ѱh[pqI[Ӣ9¼A8E{{,DgiTIem>=t 7 R;B#T$EQ]Ck( S? |0{ܲ^UHFy ndfKo,۬5?8-ّW`0x㚱z~4tax0Ks4^ik!ױsVS#}Lʎ1ҷ/$+o//w0J\?`8 㬆G<B5Qѳ>ޘ3Jϰ+c$\e9[Y؝A_~Xy=G i0ߒ "EHys'549rq.ݾZri@1De#}vFlHlƹ,.2l&BbЍM$Ul.qYj$6esY|6gӠ mflfR\XeCe}v%<籫|v5|]k۳\]ǶϺzh7"=c<͇ vxlmnmh>{mEhm6Oq{ҶF'`m1m߱ 6En&mFEѾ +R &Ҷ%ľiR۽m=8WG ?#(D!#*CThM@T#4Q&!B4%HD#jf hG]RD!J J"}.tX⠫81AFF ]݈vX9!1h\`Fh,`Fh`F6!'g!v6"z(!u:g*!mGDU6CT Q53t7pt;aG_?vXQ'r+8jp XrXQ h)q89"-Ͱp;G7 q4pGN.qt,D9 _税04DEId D?$ $2TN".CqK"2C]L5C#Ifh P1 P!$G0T@2CHq%ُOS>a9h6Ϧ !}uyD#D>EDDzI2D((B(*A#@#*DTQ!Gy^$-ؾ'F#dW )~l}KUL6-H ln܈qa(@w@wcOIfiEʾj;**f?Y'w$ݻGY籱_ pwÃ~=k<n"dra-J"'qw\N֊ Iw!휽btzB0H;|7Yoh{&iorHȪJ׻A{M[=A z"{K 󒃪c{0]QoZ[ ۵C Ё(=7L@eTf)+6(mܾ,+;*ThwY09nM37C뼜~rL&')Gi9v)\p#c#1\/G(G3yp[c2\'-ʱas㘓c9>͡I:3|Km 9 s)LW8 yx.<1DZ)pv4 5$UU46tH߂N+Z0NN(9j1p|4` ʑRq؂rL6jq2` 17 8؂rTocsjlA9EU8<` UqjrCs 1O04B3 5Sk<ڻ<1UFEӛ+H[o/c34%hz2/oȘn !g:2Vd9SA؛CdL "gėIdL#'ș>'2Y'șZ|YEӓULr|9_1癞 SK"|y"MfIez,eFT協)S7R*oLUH2Uy#eFT協)S7R*oLUH2Uy#eFT )yyՔ m|q^ q~W? 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Review of Significance@"222 222223223&2. Review of 1 sample test on the mean@"222 2222232233. Hypothesis test on 2 means@"s22 2 22222333.1 Pooled variance$j22 2 2222232233.2 Different variance$.22 2 22222322223*4. Deciding on whether variances are equal@"722 2 222223223%5. Hypothesis tests about proportions@"22 2 22222335.1 One population%222 2222232235.2 Two populations%222 2222232222223 Lab 6 7nov05D!222 2222233@Example 6.3.2 Pooled Variance Independent Samples t-Test p.6-3"&22P2v(RxWn@vJKCHA(4͡J+~$T@\I,]knj RKȣaֱSI -"Y{曙<%cQX)-ʰŹE xMIN3C$l.HQW9w)"(LRZ0H\IaǤ-p< u.ZD6JMn"`#ļM>*QēM8Ιܲ^ }0POKn\ALZ>shJ¤ITHRh  %uEX!5tVPHL=UTIU+H;]\\`UH0|{.@#v 2 |@|nLvAS]\D(b0'R\Z.< n(/*s¢PLWK(t:Ǖbyq! <7jvvX<v7jX Yҭvw%~>~w~Z'2h;hܣK7=$_D&ѽc!۳ GZ_$E$mK?αLoI?KIz]ORU3m|7W&,k>99<8qtNfŹGF!۫?N pns##_g~ '-N;ⳛ67vcrV |7jw~ fTUCx3:%K]OwB2q&X -z {lL&Rğ)y(N?3lA8MxΙ.v&axRwm=>,,}(My:zz/.pTBpCӾ,ϓXk 222223223QExample 6.4 Testing for Equality of Means when you have the Original Data p.6-7"x&22Q2<(xUKo@^)M+UE8 jNҪCrE &dz݇ԋ\8EsvzϦۻG@h[ 1Rd>X 였q'&ep`1aRxƭІ ܐ~b`(,|H1%!+dEHH%ehDB0rsC-̱&۴ tҵJ~O].3\p-3hv9Eդ5ɡVf@.⹺LO u^O])j\ k^,/D,>YqKՏV} eo<񫶧RTPm==RpYص0qF1!?(#ᰃ]W#G?Qld<7^,rɧA;ėIJBP;E ݣ0$GlaEuD&aBsjl&-8҆-!7h``h36;FId K]sA21Q.o+̱ELOs5mTkM+tjggiH{`fl^$zѼt,V1M A0=ڐuHwI&޽r;wӓ.ƏMw45iZ#owyutُ~\Kx'4 6|R#% PV~'BVAv< {AHoYr: .fdˑNG'u0CT]JSX]8Ƀm5 [>hmZaah,Di9x`/I'yCxVk]¯z$ю:Ta~y Ξ{\|Po,6ǗcX#Q8nz8Nа]4O)~MjKu=`}(owMT]B e[AQڍ}4c k@4XK1_~A WˈOO8}[,~ &Z0ğOcj\{UQp։K)HtZY';=.w ]`׻0. wRSOiqxN\մzm[OM,222223223DExample 6.6 Large Sample Hypothesis Tests on One Proportion p.6-13"&22S2[[ (RxVAo0N4$!VeBBL X"LⶖR;uE)HHʋTIQڤ$ib}q4=Fy^YxnPT 8LKEm+ `J _E-Ƹ D l0M0z@\طv'l$K>-Hx/W*T$tT_BC8q pXҾF t͘gTҠeJ}IWYp wqhDŽ@fZ p>c um}0ƀPmsR ~U ͂y~Xci^/.mN3@3 R@V]U֤ vi ^&tuN utl/ܝe.ZWu=kcR[e42$0XchyCJpxyI`1Ó yyM@7++O90O7sXl ]gG?A:9ä6&>htsZNl![9TOtAo1bbtgB]!?{bo2_O=5$uI'7-ךKEݹ:^k/y %<:Z]mY}) 5S222223223*Exercise 6.6.1a, b and c Hypothesis Tests"b&22T2E8 E8 dulexZ_lG;k$4n>ߝ/uZ珝6MՄ @e|7wuw#B+% BHbTBз E<"!$*|7s6mf;~ߟfnO]vp$O rr+1~Q:s&gMl5l^4Gڮp 䎨ի[%~t ۑNO(K]E.xM QVSV\sYtkqq`+܊ps\8.la{YFz%427LjY& <,[j\@QwC:!H^j(5 Me)l^x"Mne~drkA- mdaKT"xh( s*$c m窉-фGBL&L 8,; kD5VްT-[Qr !)^eOq4g)[M@R%,Yc"bիFEYiQjоh9YB!zQ\&ksFuح,h2 P qLV" !Iu!rh4pBՋea*{w 6FS&K%YTӨD F] D $K|9́0 _b6!k|6pGl:uQG1 sQ&r4q;~lzƟv2 ɗ,s.)(JB J_(K.u:s-{ixt" q% hm'MC")HҬ9Lv H|$NZ )r;Pqe;P)KFp(i= mA0V!LC]?aΐT{B] }Z{юt 5~mQ{\~Dm:z5:mGN"24B]+YM;Ocѡ$;gh6 4>ǩ<hixb^OQ~'%o1y ߇H!3IrIk ms ~GGKx;P( AmRHRR>2A6(LQ4$t:6 IY_4ٓ:>xӪI3(QS z@i$~T7˓Ij^ɖ4}>L}A׃>#_(LSy7@剶5Q >:ùIa.̇xpoaH4=25)*gtJCi 0eu;MmVehԌizeL2=innt908gb00~`lo,y|K ϋkeiZ-ʧVgT|䭍j (O|=&?`(%eYŋ3F:zi9@+U~UGUT{#=ߵFc/Dmbd0b7G~ :q^uvn>dWbqJl=YdJUlCh;"ė#M@w[=:|yB|ULEe}|,U`FESQ?t[.]!\zԱ^iMƮxZ{g6ѢҳJ q)Vv£dJ0lt@?i;l!ξ2. NennO u_yH lC?٬~xxD7w>iE7NUP'G+>ⵞ;DSdxw0H4Z !=8D5]?7Rt.i I~x7sfN˒_ya-ew{3N-#'cpؖ|~,^❷tC{3Kƍtg{%PMp':i|2222232238Example 6.7 Hypothesis Tests on Two Proportions p.6-17"&22U2dulexU[o0vu!o<EjP7q0MgI"-;YW~^* Mi9|b;zu^|։ZDc86e|tXxp$Z`c63A^؅> "A'HA6H񊊫HL ;Bv"Sj3j/`Ac&B2ac&`_CO6 71(z:QKЦ 7r6aa m f`7bˡֿѶ7T-kI٪؜q]ܟ8y;Jw+?=ȓ+X!2ܲʲn޾Ù7+k!>_h% 03!~1VbKj73M^jQSH^3[ V@Z]q5 Cƒ#h싪Q7"!l%?ot.ezRQzRVz \ ˒_ < I5KvA;DA}4A ) &ʉ=%6cs3N; /i#.<6aX5?\L/ϻ}e${$i OOK}U5kc42222232239Exercise 6.7 Hypothesis Tests on Two Proportions p.6-18"&22V2}idulexVn@ABU$`"jR*ZBmEPQ*CLIlH R R7YAb' -N4J8vƞ;{gXf°$<L&- L* ܆u.my\St+azݎ`[w%Hz\ie/FxٗSHX5@:w& Z2xաAR߳'AmYcb̏j߾+uH^e4DUf+3<6LN7+w4ցZhM!Af0Jŋf0y-U]Kd lwiz/IlFsunaKf{#6٭Cd؞)`ždG6O;˹&PeP[UP( 4j3WAr%'K\}vT{ vpf!ǰePg|kz't؟ciNc } i Hh6LBܒhNL1Lj|GpIOk"'L_I=iNh7FX%I8 Is)xb8-q6 r|_f6@<1e^iyOOҼwWZogy ~`+][qЋ_; ۃűCALteޅ 2'J[Lo0̱'d"5c.#HҢ_T)zӼyD݊u*hYPDŽViA7u;}j=aS ;qP$\:|+ ?ﲽ{W\?> ٨‹I {w;wG.);9yyz9M} (s22222322223 Reading 6D!822m2 2222233Pryce, Chapter 6B"222 222223223 M&M 4th Ed.B"_222 2222233%M&M section 6.2 and exercises for 6.2d#222 222223223Chapters 7 & 8d#Z222 222223223Optional: sections 6.3 and 6.4d#222 22222322222222223L8: Regression|22t2 2222233Lect 8 21nov05< 222 2222233$1. Linear & Non-Linear RelationshipsV!y222 2222232232. Fitting a line using OLSV!=222 2222232233. Inference in RegressionV!222 2222232234. Ommitted Variables & R2V!222 2222232235. Types of Regression AnalysisV!222 2222232236. Properties of OLSV!M222 2222232237. Assumptions of OLSV!222 2222232238. Doing Regression in SPSSV!222 22222322223Lab 8 14nov05< o222 2222233frֳ8;ssnߋjfДñn$젢fcfTGO(U#35(sæ)cfNI#2iY%af2mcTƔSU4] TJOhc⊬XCthTZz.mU̔biԲJrT3 cҟ֔(<(9(#8Rk P!9t4 cT2tuQI%7I y2F4kek3|zVDyF54>e͜U,m̴lb&&ߗ9JR2gSjFG&LH5#Ids>ce`/EtPO``ڄ_P:!{1[;Ѵ>@8EhbPBUa;R'ڋÆi#OkapF ᜕Hnb"aZJЩ mDIk Q|Y}1-Xprq71je0Qmj۹ #~jQ=bA,N 8s)ɼ;RF5FKHJ|<{a9#dMaɾ~E9yL߱'??ZA@cx })}Ν;ןl_NѾ (USf<Ԝњg2*x M+IMpA=e^%/Hx:CF!7mK?(E6 b1#y;cGs_) Y ɪ 3|d!a'zC9$g7ۅJX&LCc>TNm>$K4Z3=Ԩ$ɤN܁h#E5I 1& $S/YIl x<^B2`S^@V‰J1o "E"{bO+i;AieXuHr1B(?Γx6f:~`NVV@I@$42 MR2c!IohI j$~Ul9n4m}1)4QOX)$A5^h;dm4 Lz 2 i Fl 10+xb9CRz=N 9d,v֬VP(yz&=)(yu"eA9M4z䭊O.g@ִحLBS@m%teCec0O Vl##seGTtFI\-m 9\F%W|$\IaK&Yl6|uͅyR$uOYށdq-z/,}A *9!":Bi`j5(q:::ZH\ J V* e4uS2_×a1m<_6H[Ylףߟڽ繽ھOkNcKȢVH2tIon/5|{u<4+K خ/5j{~TkZU;|[Co9_2˘E?-j/y-W^?]gk\^{kVZB*HG2fGZj|de_׷v  gqc_9nY]j,Uki#l^2߳پ{K !>ZmҭctJ%m_gcĻTN|c1"WC] pnÔ GV[6Q\ne ⊏eL`Gɲ,؄ʪ`\_Kt{}$ۣQ&L9L"ݗc |}I.:J$z2[l>=Aw#1D!#^CĻnkG؆F>}+…5y;|tOG?/lH')$/d:U:Q;.wl˛ [ԷebCᶬHm^%uRP\lLPnNZKu܁:.qj>ĕ//A=bkwQQ$-nl @,W`(7^Hu>,[n48HuX9(qKY颾E1= S wa4E}2nu;F@qep^̭QI> ??/EΉpt=[.h4GU»!5#rςً|',of҈Fʕ*zkD|kP:f:$oDi"A~DMVZ𿑣Mgۏb?<]}^J2`=GpY^C3`p>;$́ΆiƪLzð>& HaU0ϰI0l d86)̰J== ϟqgrs}~C7''9=lZ[ D5TJp|zc8n'sj=\} L[=$PLkr_n v&* E:oIhAsLy]xehd-TZ\M?m7 U`=g`fyMR@h-UUH$'=D#?2[`M >胁=|χqaC2#bw,|Ǯ>Q|ŗzz׻ ?׻.~-Ə/aao*6Yxzk{.P{u|ACϺ!bv}jAs:O8'ޝȯv>W :{#+|&cq}̬7B5%H]h'4濾X.Ю]`\D`lzO?^'OELW`:n|~0q(!`uޞ퐢C aC0NVtL瓻%Oۤt |̛y8ݚ % :;{TjQcq}θH90xO5 }FNBW>`d3rbO^-Fljt6+ӔqvI7?׳Iz=x4?TMg3z?L앦Lz? o~.y=.߄~њ{)4AJ=k=8ޱmi/Կ%.t)]x+Z]iu^#j빿^@s_U<oĝSt>LOͥEghf͔`{o=A}cF}-4yˏ7TQn*Y~W2n.`WvcvnؼUp.UUJ6ΥyWIa JUJ逮7n*M~W?MyuSw|l7y7%DP7.`\%Yvs![,WtRieZA& fFίQ.NY"*g5p-Tיhs /ey|7h[+8p+3zv| ]ܷVurBb,Bȯ d bRvpGʐ2\_|NƹT!Gϊ97WOiU2!^ 1![וL-Ar2NQ"rS9swj]r>C2)OKԱ9^|BNQ.ǵ#U!(^5CFNK M`>srsrs%v"T!g>>!_@@rx8L   "hb Bs4(0g?3Q(̠$ 13 NE  *t`?`{nc=0aDgG5p- Hp5`7j_~QnbN W 0E 璚XSX^XWBrG~ۜS*BR+JȲsF $TP>ilֆ$6} 0T"s~iQfj_j9N}6 ێN2V'ݏn,`X JCiXs d"vbȬϒAH{.c $0TtsQhɈ΃0Qʨdm T`$in!e\\IzP2Wel3z# Ya%Z˸i3֍><+/wQ3Øhဩ.Œ;t' Ǜڦ&V|G|.\sET1˲ƭK=qLM#NZmcUK~OsNڇiۭ!Ljܦc?eM~i'o/+_S,4˙۶p]S$eEIqr<~<&'k'Mj?,k_st888huYo#JB*CAԈS>bzAy㯽Kİx[KkK<}?*8L^{Vuaq<֙]OƮ\Ow>38VLtv8o!yq{p{pp6ĉC39833IiWt{_8~ޏݱ79<Ʊ k4Ő [>ߙOhԂ;ƢمVrA()X Gxt W~ԌIICwA?ɓ޷L+ ։$Mo G;c_5[E`/}koߵtB8?m10HطӾ%KF~wv_m Hv>TVIu@﷫Bݕ;Al'N< 'G̉G0 |\v|H(O<[os:Wr ?7On2222232239Example 7.3.3 Applying the Rule of Thumb for CIs p.7-15&!&22,2(e(Q`sxYoG]$6" )R+H$;DMN^gwGUH.\z+XJ9zIڿ$0}3^;$R2ήg{~쎳!zɥu;;rTvS:קq4L|&S =;74>o٩f, Q;[8e1?Fm4 ְOe1$N 𫙺FGgH7|\LX'Q',|Zu*%X3Fdj"gmhxFĦ,0 8tuGqz19bĺ h&e C>q|/1F9MZ=pO@CWc{{;SgW솨heTDevޚPsؽJna?b|5>Z绮D蓅#[8W?ϋTԉ2ůlA BHѵ`7`ty1_ )6W ښh/onvOQڋrԟkxɶPj BE$M)u!TUNWTS6brηi+UE\0_Jea2R_E3Ϝt:t;½.H*)5h|ǣ~d +lQmqK V3/ѐ=j>c&{YTA(<1lG?,yW1ɱ؉xlW,ʣ߀qa(zK2G 0vR O&xx B|C,YDopOV}P5IK{ rOueA]2ˡvʂ%RTG,ɺy&߱7 ~crFVWqPq5,Qr]R*+nڭ8 *nThIU\|z +_mrEA t>ٲ}@.OaN21(nψT6wT2߼fI s,  b$Lʡ#: Ctsɸ(s+[7m̦MsUsc>2Qymnڭ9mSW|D`ʂs"H× {c;Q$Wvr~VӃ ۅ 䜞ӳ l/I|;@qFuy Άtt>cxL:W}\V5p'qX 3+ * W^K'j9Ʃeݩ5QEUxk4X!qe3O\'.#T¨Wb3KZUczFTگr}Q<*pb~=*uyd ɟ˛ [^ )6bsɽ l}o3׋^lA%-\*oY\|ѻ~mR?{WWp] ?~>)2~m ޱuOQ~(?S k_~*S.?)J,p[ie,!5#]v8ASc5h`qu7̉w:fF7)z k7b|%ot9=6H3ISM F֮VM|Վwobisu{e`'ԍ090&g :Q̙C>{m> Fj>1 :Þ +f= foI>~˦:agaFZ^KQ[D %<9)"U U.k]?&O22222322223 Reading 8< @22o2 2222233"Pryce, Sections 1.4, 1.5; 7.3, 7.4!/222 222223223Other reading:!222 2222233"*Field, A. chapters on regression."222 222223223M*M&M 4th Ed. Chapters 2, 10 and 11; see Chapter 15 for Logistic regression."222 222223223%Kennedy, P. A Guide to Econometrics"^222 222223223Bryman, Alan, and Cramer, Duncan (1999) Quantitative Data Analysis with SPSS for Windows: A Guide for Social Scientists, Chapters 9 and 10."222 222223223OAchen, Christopher H. Interpreting and Using Regression (London: Sage, 1982)."H222 222223223%Pryce, G. Advanced Regression in SPSS"222 222223222222222231L7: Relationships between Categorical Variables22s2 2222233Lect 7 7nov05>!h222 22222331. Independent Events0"222 2222232232. Contingent Events0"222 222223223 3. Chi-Square0"m222 2222232234. Further Study0"1222 22222322223Lab 7 14nov05>!222 2222233$Example 2.3a The Two Sided Die p.2-7("*22`2 222223223CExample 2.3.5 Contingent Probability of Going to University p.2-9("22a2 222223223EExample 2.3c Relationship Between Class and Higher Education p.2-10("R22b2 222223223?Exercise 2.1 Understanding Randomness and Probability p. 2-11("22_2 222223223MExample 7.2.1 Relationship Between Social Class and Voting Preference p.7-2("z&22\2;l;XdulexVn@v_"EEnHT@PZڢBؓ48NpF@]'_*k* WM ~9Q-*'/5߄D0[bl=zնXlCr4dCSsH-,sپ&<7^al}w6o}t$b ~ڟi϶78/_f2?64sg9C 2222232238Example 7.2.3a Relationship Between Class and HE p.7-5("&22]2!!dulexXn6DZ(In.lC ؐ?nZ [a7h:AI wCa73l.{1LV-!S>)Ruzseg/h]o>#I?:]ְm/)~p~@9.>ZA  gMpi&lR wG9ʹ"WQ{f $D8n`{!!MK=cƔ4p4-z(Nd'Izwpa]IEngC(gn=T֣߁(EYSb08Z:qߧ T#}/x .]G1WM,ЫP{u+^ozwx.Ѿ}tyxfy_bf3q,ɚRfIJ!;6kds)^E+S3= r©DqViɈ;9S[*xR;1ଊgW};1ᬊS}šv2h"TG3r_b445Yb5)ŇxW󗵘_MAN, 6~'',QTqJHIlfbpuNA3d_?yIpYj4?<9.3k+xfèKhr9v%zF4+ײN _G=;"hW .Ú֑9e5i fS!OIϔ֦y ^MG/):J(w }-؎p0Ej˵!"NZQI1vcj 9t J\vYr_Ǖ (D`Wq/(@&죭8^DWyvUr{ %&lGis(t^A!;WQb7b/6z_@ɏ&l轆i0'(5aޔ{UrYlA,&l0k(^xLz/>&lXa\פw^ /׬w^loֶE[;YqӿXC&L@n69ɠ?a`66KfmڌϞ&,M3~YlpmglkʅɔZM l5-wv+g|dk~I~k|n~222223223IExample 7.2.3b Relationship Between First Time Buyer and Location p.7-8("22^2 22222322223 Reading 7>!P22n2 2222233'Pryce, Sections 2.1, 2.2, 2.3; 7.1, 7.2<"222 222223223 M&M 4th Ed.<"m222 2222233 Chapter 9.S#q222 22222322222222222 2L>G@2 Arial 22 Arial 22 Arial 22 Arial 2=PQv'Project-Managementw'0x'1y'16777215z'26367{'10053222|'2}'0~'16777215'16777215'6710835'6710835'16777215'13369497'102'11'''''0'0'0'Project Management'Arial'3390457'5000250' bullet1.gif' bullet2.gif' bullet3.gif' bullet4.gif' bullet5.gif''home.gif' title.gif' previous.gif'' ruler.gif'next.gif'background.gif'folder_open.gif'folder_closed.gif' document.gif'folder_open.gif'folder_closed.gif'folder_open.gif'folder_closed.gif'Java Outline with Imagemap'1'1'1'330'220'80'Java Outline with Imagemap'3'0'0'1'1'1'0=(2>(1?(1@(1A( See also: B( See document: C(D(E(F(OPlease send your comments to {MyEmail}. This document was updated {ChangeDate}.G(0H(Table of ContentsI(0K(0L((1(400(300(02@2222:$w2@G3@ EMF@ l@Metafile Companionhexagon.emf   @  G3 % '% V8G3Z>HYZllY>Z>&'`&% '% ( V8E0>X>% ( % ( 22