ࡱ> 241S#` Lbjbjmm .PKKKK,KudLpLLLLMMM+u-u-u-u-u-u-u$vh.yQu9NMMNNQuLLuOOONLL+uON+uOOnprLXL p0GKN!q su0uAqdyxO:y@rrnystM" NO!N5NMMMQuQuO MMMuNNNN$%("( Math 179 Sample Final Name:__________________ Cell phones and other electronic devices (other than your calculator) are to be turned off and put away for the entire duration of the exam. Some questions are to be done manually (without the aid of a calculator). Answers must be supported by work to receive full credit. If the calculator is used, you must state the inputs and relevant output and interpret to receive full credit. (11) Nine people were asked how many cats they have in their house. The data is given by the dot-plot below. Use this to answer the following:  (7)* Manually compute the 5-number summary for this data. Show all calculations. (4)* Sketch the box and whisker plot of this data just above the number line given (Using the values obtained manually in part a). Show all work below the number line. 024681012 Math 179 Sample Final (8) State the level of data used (for example, Nominal). If the data is numerical, state whether or not it is discrete or continuous. (2)Bob is examining the aggressiveness of animals on a 0-10 scale. (2)Alicia is conducting a study on students sleeping habits and records what time they wake up each morning. (2)Alicia also studies the amount of time each student sleeps (in total minutes). (2)Elise writes down temperatures (in Celsius) when she sees more than 20 people playing outside in the quad. (12) Let A denote Athletic. Let B denote Brown eyes. You are told that 41% of the population has brown eyes. You are told that 64% of the population is athletic. You are told that 35% of the population is neither athletic nor do they have brown eyes. Answer the following: (3) What is P(A and B)? (3) What is P(A|B)? (3) What is P(B|A)? (3) Do these seem to be independent events? Why or why not? Math 179 Sample Final (10) The weights of men are normally distributed with a mean of 172 lb and a standard deviation of 29 lb. (You may assume no continuity correction is needed). (5)What percentage of men weigh under 160 lbs? (5) 49 males are chosen at random. What is the probability that their average weight is under 160 lbs? (12) 21 adult females were selected at random and their heights were measured. Measurements are in inches. Height is assumed to have a Normal distribution. 63, 69, 63, 63, 60, 69, 65, 68, 62, 64, 61, 68, 62, 60, 64, 64, 62, 63, 61, 68, 70 (6) Construct a 95% Confidence interval for  EMBED Equation.3  if you know  EMBED Equation.3 . (6)* Manually construct a 90% CI for  EMBED Equation.3 assuming that  EMBED Equation.3 is unknown. Math 179 Sample Final (15) 14 out of 20 people who drank the local water in a small village in Mexico got severe intestinal cramping. 10 out of 25 people who bought bottled water while in the same village got severe intestinal cramping. Answer the following: (5) What is the relative risk of those who drink local water compared to those who drink bottled water? (5) What is the absolute risk reduction in switching from tap water to bottled water? (5) How many people would need to switch from local water to tap water to avoid one case of intestinal cramping? (10) Suppose each person has a 4.5% chance of developing Alzheimers disease. What is the probability that of 1000 randomly selected people, between 40 and 100 (including endpoints) are afflicted in their lifetime? Use any method appropriate. Math 179 Sample Final (15) Given the following output regarding a test on color blindness, answer the following using complete sentences (and staying as far away from statistical jargon as possible). The test was regarding the proportion of males who are colorblind. Test and CI for One Proportion Test of p = 0.08 vs p < 0.08 95% Upper Exact Sample X N Sample p Bound P-Value 1 26 500 0.052000 0.071422 0.010 (3) What is the null hypothesis? (3) What is the alternate hypothesis? (3) What is the conclusion at the 2% significance level? (6) Find the 98% Confidence interval for the true proportion of males who are colorblind from the data in this study. (6) How many people must be surveyed if you want to be 99% confident that your sample proportion is within .05 of the population proportion? (6) If =29 lbs, how many people must be surveyed if you want to be 90% confident that your sample average is within 1 lb of the population mean? Math 179 Sample Final (10) You think that as people age, they get more scars. You take a small random sample. Your data are: AGE714222742485270SCARS22425756 Perform a linear regression and graph the regression on the scatter-plot provided below and give all important information (Equation, r2)  (For practice, do this question on the computer). Predict the mean number of scars of people age 62. Math 179 Sample Final (15) Given the data and scatter-plot, answer the following questions: Time (years)0123# of rabbits251233  (4)Perform and graph two regressions (for practice purposes, do this on the computer) (linear, exponential). (3)Which regression do you feel is most appropriate and why? (3)Using your answer in b), what is the predicted rabbit population in year 4? (round to nearest Rabbit) (5)Suppose the rabbit population in year 4 actually turned out to be 43. What model would you use to predict the rabbit population in year 5? Predict the rabbit population in year 5 with this new mode 01E J K L M N O P Q R - U b c s t } ~   1 _ b c f g % ( ) * - 2 Q "#XY:;躾ؾ躶亾h h>h@FPhS+CJaJhS+CJOJQJ^JaJhEtGjhS+UhgKh^jh!hS+hj!2h:=?h,;H123 J L N T U V X $IfgdS+ & FgdS+gdgK & Fgd,;gd,;LX Z \ ^ ` b $Ifb c e g ) $$Ifa$kd $$Ifl֞4 t4t'''''''@644 lapFg i k m p s $$Ifa$s t u v x )$$$gdS+kd$$Ifl֞4 t4t'''''''@644 lapFx y z { | } ~   ` a b c & ' ( ) *  & Fgd^jgd^j & FgdS+ & FgdS+gdS+ 9:;<=ST & Fgd(gd( & Fgd>gd> & Fgd,;gd^j;=FRST'-n4Fabqr !4567EFYZ}j$TL h(CJUVaJjX hJh(EHUj%TL h(CJUVaJj hJh(EHUjSL h(CJUVaJj, h}j;h(EHUjL h(CJUVaJjh(Uh-2hEtGh h:=?h(h>/#$%&'34^gd( & Fgd(gd( & Fgd(hijklmnopqrsz{?@A & Fgd,; & Fgd(gd(Z[\lmno|yzEI]t '2 +,L"$&8PRV氢旓h!h,; h(h(h(CJOJQJ^JaJ h(5CJOJQJ\^JaJ h:=?5h(h(5hEtGhgKh h:=?h-2h@FPh(jh(UjMhJh(EHU:ABCDE & Fgd,;gdgK & Fgd(gd(  <j ! & Fgd(h^hgd( 7$8$H$`gd( 7$8$H$gd( h7$8$H$`hgd( & Fgd(gd(!"#,-./012$&RTV $IfgdNF & FgdEtGgd! & Fgd,;8^8gd( & Fgd(gd(V\/0FGX[\fgktelmAaLLLLMLNLUh j"hF\h:=?Uh CJOJQJ^JaJhHCJaJhHCJOJQJ^JaJhHhA(+h:=? hxrhNFjhxrhNFUhxrhNFH*hNFCJaJh!hNFCJaJhNFhEtG5 #&),/068:<>@BDFGH & FgdNFgdNFFf $IfgdNFFfw $$Ifa$gdNFYZ[\]^_`abcdefghijkgdH & F gdEtGgdA(+ & FgdNFgdNFDkd $$Iflr`,p''D'D'D'D644 lap2 $$Ifa$gdH $IfgdHMHgdHkd!$$Iflr`,p''D'D'D'D644 lap2 $$Ifa$gdHhjklmLMLNLLh^hgdEtG & FgdEtGgdEtG & Fgd:=? ^`gd:=?l. (Round to nearest rabbit). (The regressions you might consider would be:  EMBED Equation.3  and  EMBED Equation.3  NLOLbLcLdLeLjLkL~LLLLLȻj,h:=?h:=?EHUjuP h:=?CJUVaJjl*h:=?h:=?EHUj3P h:=?CJUVaJh:=?jh:=?U ,1h/ =!"#$%  Dd,>  C Abz_@@W@.VD9nN_@@W@.PNG  IHDR MHsRGB pHYs+IDATx^8Н.+5*!~Ss!$jk;!@g {#@4h0CX J5@C4!%@  @!V @c  @ fA  @@ @`3ՠ X 0Df>Р pY~|{p2ЃxTx{;}NUXr$@@.$*h0,Gh0B @Sr$@@.$*h0,Gh0B @Sr$@@.$*D6|MyBia +{L`iuy a fBnB @@/4^Y 0{CR󲥗xe/;g~CO6IDI a D6ˊCO+@4u x9WZX (0tL<0tyͬˆNL٥ q`Z-`/+ = L<0tyͬˆN̲/+  &:мfցeC\io?YO-  @Hk?l0sp6\LiBY/5m*O>-O_~݉ a d! LG =O@h00|bnN>^?axC*ݼk;yt*G&;l(`.]>'@@^ pi 3y` pi 3y` piT6g}9IENDB`$$If!vh5555555#v:V l@6,59/ /  / apF#$$If!vh5555555#v:V l@6,59/ /  / / / / apFDd b  c $A? ?3"`?2: a%Ћw"p 9`! a%Ћw":Rx=N Aa=3/$ ;n-(pC (/ ,!Y)|4g;g!dR!&qTv?/ڐ+̣Вad> KE*qr V~0]~g^gSgqu[=W3.DžrZzyy\MBzaى {E[XAoS:6<Dd b  c $A? ?3"`?2OoUb` 9`!ZOoU 8H(xcdd``fed``baV d,FYzP1n: B@?b u 00 ㆪaM,,He`0 @201d++&18\ _mʠ T1V|=8oT>& Ma`ϕ@${\P ns2͕a[\ 5.pȂf `p\021)W2lԡ"|b@3X?5$eDd b  c $A? ?3"`?2?>>5cD 9`!>>5cD:Rxcdd`` @c112BYL%bpu 18\ _o0Usi#.F{s+p]6b;vF&&\y @ ]` {> 1@`2`|6Dd b  c $A? ?3"`?29  !"#$%&'(*+,-./0A36879;:<>=?@RQBCDEFGHIJKLMNOPUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~Root Entry# F[G5 Data )/WordDocument".PObjectPool% )G[G_1290798767F)G)GOle CompObjfObjInfo  "#$%&'(*+,-/ FMicrosoft Equation 3.0 DS Equation Equation.39q R  FMicrosoft Equation 3.0 DS Equation Equation.39qEquation Native )_1290884073 F)G)GOle CompObj fObjInfo Equation Native  9_1290884133F)G)GOle  0 =2.5 FMicrosoft Equation 3.0 DS Equation Equation.39q hI CompObj fObjInfo Equation Native )_1290884132F)G)GOle CompObjfObjInfoEquation Native ) FMicrosoft Equation 3.0 DS Equation Equation.39q `c,  FMicrosoft Equation 3.0 DS Equation Equation.39q_1353318195F)G)GOle CompObjfObjInfoEquation Native n_1353318261F)G7,GOle CompObj fR l y=2.2354*2.2307 x FMicrosoft Equation 3.0 DS Equation Equation.39qwx<' y=47.2691+69.9e "1.66ObjInfo!Equation Native 1TableT.zSummaryInformation($!45xOh+'0 <H h t  Math 179 Exam 1 Spring 2009HP Authorized CustomerNormalCampus Technology Services2Microsoft Office Word@d@!d@c&@N$0F9`! N$0F:`R!x=N Aa=3/v,Hn-xYE,<Q#kqj33@hy}E5䟗.ToȰe HwZ*pRh7u~5fmoҟcwlJ粜® 9.a0yXFLf'Rۛ/܃(ب(/_~?^59$$If !v h55H5555555 #v#vH#v :V l 6, 55H5 9 / /  /  a pZ kd<$$Ifl (Mr)''H''''''' 6$$$$44 la pZG$$If !v h55H5555555 #v#vH#v :V l 6, 55H5 9 / /  / /  a pZ kd$$Ifl (Mr)''H''''''' 6$$$$44 la pZDd L0  # A";v-ww#ɝ9@=v-ww#ɝ-:m:v#x hUe|GcP'O46eiRR\߉G&J $H7-!!A4-̥ELK9o}s^;|;W 06$G0Jx`C ua7dc!1F<!]D2PۗfrE!e$(CfQjܢ/T |$񁌷B?ƳrGS!!axm-m?F}ly&}QGQu(nGlKy$_mPpWlT1/z;)۳VPb,g#xk{W R1ePnͫE_2#ejf.l},nEq?(3!NpQ}FSn`@mQp;Z]*K.E(n\r„օOP/#N`ĜYNr'VObOEB6ɡ",ބ/'I'Ƭ–UP=WGو5VXۺ2cݿ?Xbb~2c 'w.ؾ?t.F^6e]Cה86_<'IE1tž}R,eXɡ@ʼfZA-V<ْ~M'T'}̓YdyB:͓KLzjTkpcO)I9eJrVv]n0SRusCóPX\7$:C:aR& :ևΎt[%}UB>OGG:O)u zp.=Us! R-fԽW>S4.VT8hK eU)ߨ7jz_h'k|_WXk::v7S]e"g7>ѥl;c c屮ؼo\~5x{8QEmHe;znkJiG6.eW*6V"e%DR5vd&*-l5HdUq8rw+q܉{'Rjҟq#,`aǕ{8Rc8R[b_؈0̓"w))w#RN[T_19W86# nFEgs}ơ7Fb9ms^|Zu?]zEݡ+9]#;"Н kݽs)u!3ױbpʿ _WV0 wZ/%2lX6q) g?{[.{4j<%jcND17k23}d> s|A*2df8ȜA8,s|2kA K?k1Όy^s߅tpLU=}(7A-.˽Q8p|?q?رO`ߏWgN \b(y1Zy1:Ug ~[}IWJ.ssІD.3;rתٙd~olh?(zC r~0krĖ+M&' oW^q0/|_co-#YKs++%%t(9[r,+_nsփ(V^²Zwz yp|g2raZLFwi܅,w=كV;yN3_wnRO).rR|SQ)!'iZ#_u;UF̉wz_79@Exd¾X!/1/xgs-r#-}{X$$If!vh55D5D5D5D#v#vD:V l6,55D9/ /  / / / ap2$$If!vh55D5D5D5D#v#vD:V l6,55D9/ / / / /  ap2Dd E$$0   # A "Q:eoU0)`^w4-"9@=%:eoU0)`^w4L*l'YL;xZhUU7uXԖZC]XύG-%Y:"# -YIQ, *ِ bL!#V$y;s߻s[nߝs>sw(aIzO<Pdg . !@XRt6B le ]a-OO!;q㲽Rx$qH< \DCy4P,n;d-Rm{P_|͍;S;Y0b&6 {'mYl[Wug6̷`OlɅVMs5WaόLJ{bpSp^}cg|,zY.r#K~ ҄n;,T_AnG(d699HvG7Qu6u_Mo-_JOjBZ~6Xنֺ?V5VϘLD==1ApX-rC>q[h-}%yeԇo٧ rýPdv_?4;%ي "ſw8nDͽ >vl [v-һTW`kGrT10<o2~Y~3] dx'F72e?k=3~d2ia}AC6e)~O8{u}n>:^*0!~z~w1 dxFs_l,YG^GD&.:^Zw0~V&^p埱ƉzXtH;$lǎDFߤIj?'qj #mk|L705ufֈYH;|?2沱e 1lŚ>݋5^fR(cЬ6&M>JlV:1KԊ"F'OIL/cz%q˧0=)ޞ@f}WsxW{xOxO5Bx[w;6x5뻎xk .5NaZ;yF 0p*,33K?X;?JIp&hQNS.N&COxRKrR/L0$aDd hb  c $A? ?3"`?2 u!}. *9`! u!}.  @ &|Mxcdd``fd``baV d,FYzP1n:&&^! KA?H1x ㆪaM,,He`I? 01d++&1Dl\ _ﰥsi#/ < g#7wcȄJ sHt'\FPl2TVfa&lg`jSΌjt& XI9 6\\g|":LrjkQ.p `p:adbR ,.Ie(ԡ[> 13XDd b  c $A? ?3"`?2 Ty¸BV-9`!Ty¸BV @2xڥS=KA-DNAI@w460)' 9#׉G#Vm/@%(x#.fyfvA@y`|E!cb躮@)ŚqB@\ 89sh0W "e$ܽxz87]y(5sVU/uX8oTꬺLԚP+F[~ OMޚ H |i - ݘoF0ғ~GnHSh~(2B֔= #{(tdr !#)i FĐ6;̌{\ԙď3'2(&4;LHS:(LKMU#A֎CXxW1ἳYlRC+hl$'E9 c&_9՜.+,0 hp|  ISO) ' Math 179 Exam 1 Spring 2009 Title  FMicrosoft Office Word Document MSWordDocWord.Document.89qDocumentSummaryInformation8)4CompObj.q@@@ NormalCJ_HaJmH sH tH DAD Default Paragraph FontRi@R  Table Normal4 l4a (k@(No ListP123JLNTUVXZ\^`bcegikmpstuvxyz{|}~`abc&'()*9:;<=ST#$%&'3 4 h i j k l m n o p q r s z { ? @ A B C D E   <j !"#,-./012FJLORUX[^abhjlnprtvxyz!"#$%   !#&)*+-IJKL4cd000000 000 000000000000 0000000000 00000000 000000000000 0 0000 00000 00000 000000 00 000 000 000 0000000 00 0T0000 0T000000 0000 00000000000 00000000000000 00 0 000000 0 000000 0 000000 0000000000000000 00000000000 0 000 0 000 0 000 0 000000 0000000 0 0000 00000000000 0000000000 0 000000 000000000000000000000 000 0 0 0 0 0 0 0 0 0 0 0 00 00000 00000 0000 0000123JLNTUVXZ\^`bcegikmpstuvxyz{|}~`ac&'(*9;<=ST#$%&'3 4 h i j k m o p q r s z { ? @ A B C D E   <j !"#,-./012FJLORUX[^abhjlnprtvxyz!"#$%   !#&)*+-IL4000000 000 000000000000 000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00000000000000 000 0000 0000000 00 0,00 0,00 0,00 0,00000 00 00000 0000000 0000 0& 0000000000 0& 00000000000 00 0s 000000 0s 000000 0s 000000 0000000000000000 00000000000 0000 0000 0000 0000000 0000000 0 00@0@0@ 0000000000000000000000 0@0@0@0@0@0@ 0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@ 0000000000000000 0000 0000 00 0@ 0;ZVNLL 'X b g s x A!L!"#$%L 4 6 E Y [ dxz::::::l,"$:eoU0)`^w4-@0(  B S  ?k(!kTK#  B*urn:schemas-microsoft-com:office:smarttagscountry-region9*urn:schemas-microsoft-com:office:smarttagsplace p Y _ JSry|33333333333PQ&+, ':Xc6+7]+"! j9L`btXG3rI:X^g]`WRugVQhrOCqt&luu} lo}"! h ^`o(hH)h ^`hH.h pLp^p`LhH.h @ @ ^@ `hH.h ^`hH.h L^`LhH.h ^`hH.h ^`hH.h PLP^P`LhH.^`o() ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH. h ^`o(hH)^`o() pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH. h ^`o(hH) ^`hH.  ^ `OJPJQJ^J) @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.h ^`o(hH) ^`hH.  ^ `OJPJQJ^J) @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH. h ^`o(hH)h ^`hH.h pLp^p`LhH.h @ @ ^@ `hH.h ^`hH.h L^`LhH.h ^`hH.h ^`hH.h PLP^P`LhH.^`o(.^`o() pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.  ^`o(hH) ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.^`o() ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.^`o()^`o() pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.88^8`o() ^`hH.  L ^ `LhH.   ^ `hH. xx^x`hH. HLH^H`LhH. ^`hH. ^`hH. L^`LhH.88^8`o() ^`hH.  L ^ `LhH.   ^ `hH. xx^x`hH. HLH^H`LhH. ^`hH. ^`hH. L^`LhH. h ^`o(hH)^`o() pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH. QhCqluu7]+ j9cRug^tXG lo}3rI'`          fUy       fU |y      fU        .                  Pu&       H         ^        N3?QLwstv z !dHqA(+S+j!2-2 ::=?NFEtGgK@FP^j~(,;8a >AJUVXZ\^`bcegikmpstFJLORUX[^abhjlnprtvxy   !#&)*@=S==422p@pp8@p@UnknownGz Times New Roman5Symbol3& z Arial?5 z Courier New"qhCCfCCfQ[& _9 )_9 )24 2QHX)?,;2Math 179 Exam 1 Spring 2009HP Authorized CustomerCampus Technology Services@