ࡱ> KPJ{  bjbjBrBr .   ZZZZZnnnnnPqqqyP{P{P{P{P{P{PRxU{PZqqqqq{PZZPqRZZyPqyPjJOph.YL2ePP0PLJ,V,VdO,VZOqqqqqqq{P{PqqqPqqqq,Vqqqqqqqqq : 2.2 Normal Distribution Worksheet Answers AP Statistics The EPA fuel economy estimates for automobile models tested recently predicted a Normal model with a mean of 24.8 mpg and a standard deviation of 6.2 mpg. In what interval would you expect the central 68% of autos to be found? Between 18.6 mpg and 31 mpg About what percent of autos should get less than 31 mpg? About 84% What percent of cars should get between 31 and 37 mpg? About 13.4% What percent of cars should get more than 20 mpg? About 78% Describe the gas mileage of the worst 20% of all cars? The worst 20% of all cars get less than 19.59 mpg. Some IQ tests are standardized to a Normal model with a mean of 100 and a standard deviation of 16. What score would begin the interval for the top 16% of all scores? Use the Empircal Rule (68/95/99.7%) to find your answer. Validate this answer using the z-scores table. Empirical Rule: 1 SD above116 Z-scores: 113.42 (table), 115.91 (calc) The top 10% of all scores represent the label of genius. What is the range of scores for anyone who qualifies as a genius? At least 120.48 What proportion of test takers score a 130 or higher? About 3% Assume the cholesterol levels of adult American women can be described by a Normal model with a mean of 188 mg/dL and a standard deviation of 24. What percent of adult women do you expect to have cholesterol levels over 200 mg/dL? About 30.85% What percent of adult women do you expect to have cholesterol levels between 150 and 170 mg/dL? About 16.95% Estimate the interquartile range of the cholesterol levels. 32.16 Above what value are the highest 15% of womens cholesterol levels? Above 212.96 While only 5% of babies have learned to walk by the age of 10 months, 75% have earned to walk by 13 months of age. If the age at which babies develop the ability to walk can be described by a Normal Distribution model, find the mean and standard deviation of the Normal model. mean = 12.14; SD = 1.282 Wildlife biologists believe that the weights of adult trout can be described by a Normal model. Fishermen report that 22% of all trout caught were thrown back because they weigh below the 2-pound minimum, and only 6% weighed over 5 pounds. What are the mean and standard deviation of the model? Mean = 3, SD = 1.293 ").<=>! " = ? w x   ; m o 1 2 = >  J K Z Ÿ}rhNIhNIOJQJh *thAfOJQJhNI5B*OJQJphhAfOJQJhAfhAfOJQJhDXhd >CJOJQJ^JhDXhd >OJQJ^JhAfhd >5OJQJ^JhAfh?5OJQJ^JhNI5B*OJQJ^JphhAfh 5OJQJ^J,<=>?  ; p q [ ^ 2 HgdAf8^8gdNI & FgdAf & FgdAfgdZ [ ^ / 2 @AFH  ׭ hNIhNI5B*OJQJphh^7b5B*OJQJphh *thAfOJQJhNI5B*OJQJphhAfhAfOJQJhAfOJQJhNIOJQJ' h^hgdNI & FgdAf,1h/ =!"`#$% ^ 2 0@P`p2 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p8XV~_HmH nH sH tH @`@ NormalCJ_HaJmH sH tH >@>  Heading 1$$@&a$CJDA D Default Paragraph FontViV  Table Normal :V 44 la (k (No List @@  cList Paragraph ^PK![Content_Types].xmlN0EH-J@%ǎǢ|ș$زULTB l,3;rØJB+$G]7O٭V$ !)O^rC$y@/yH*񄴽)޵߻UDb`}"qۋJחX^)I`nEp)liV[]1M<OP6r=zgbIguSebORD۫qu gZo~ٺlAplxpT0+[}`jzAV2Fi@qv֬5\|ʜ̭NleXdsjcs7f W+Ն7`g ȘJj|h(KD- dXiJ؇(x$( :;˹! I_TS 1?E??ZBΪmU/?~xY'y5g&΋/ɋ>GMGeD3Vq%'#q$8K)fw9:ĵ x}rxwr:\TZaG*y8IjbRc|XŻǿI u3KGnD1NIBs RuK>V.EL+M2#'fi ~V vl{u8zH *:(W☕ ~JTe\O*tHGHY}KNP*ݾ˦TѼ9/#A7qZ$*c?qUnwN%Oi4 =3N)cbJ uV4(Tn 7_?m-ٛ{UBwznʜ"Z xJZp; {/<P;,)''KQk5qpN8KGbe Sd̛\17 pa>SR! 3K4'+rzQ TTIIvt]Kc⫲K#v5+|D~O@%\w_nN[L9KqgVhn R!y+Un;*&/HrT >>\ t=.Tġ S; Z~!P9giCڧ!# B,;X=ۻ,I2UWV9$lk=Aj;{AP79|s*Y;̠[MCۿhf]o{oY=1kyVV5E8Vk+֜\80X4D)!!?*|fv u"xA@T_q64)kڬuV7 t '%;i9s9x,ڎ-45xd8?ǘd/Y|t &LILJ`& -Gt/PK! ѐ'theme/theme/_rels/themeManager.xml.relsM 0wooӺ&݈Э5 6?$Q ,.aic21h:qm@RN;d`o7gK(M&$R(.1r'JЊT8V"AȻHu}|$b{P8g/]QAsم(#L[PK-![Content_Types].xmlPK-!֧6 0_rels/.relsPK-!kytheme/theme/themeManager.xmlPK-!0C)theme/theme/theme1.xmlPK-! ѐ' theme/theme/_rels/themeManager.xml.relsPK] Z    8@0(  B S  ?#+ c 33")">x;opp##1? K]22AG ==bo    ")">x;opp##1? K]22AG ==bo    Pxx&ejB LSR8Jm\@6 ,= %Dgc,FShy/2g;@E&u::@n,ABA~884-N RwV ,K5zWh[U.;WyH8|chdhҩ*#m  Xxlͦ}(x"h ^`hH)h^`o()pp^p`.@ @ ^@ `.^`.^`.^`.^`.PP^P`.88^8`o(.^`.pL^p`L.@ ^@ `.^`.L^`L.^`.^`.PL^P`L.h hh^h`OJQJo(h88^8`.h ^`OJQJo(h   ^ `OJQJo(h   ^ `OJQJo(oh xx^x`OJQJo(h HH^H`OJQJo(h ^`OJQJo(oh ^`OJQJo(Z^`o(.^`o()h^`.2 2 ^2 `.  ^ `.L^`L.^`.rr^r`.BLB^B`L.hhh^h`.h hh^h`OJQJo(^`o()  ^ `OJPJQJ^J)  ^ `.xLx^x`L.HH^H`.^`.L^`L.h^`.h^`.hpLp^p`L.h@ @ ^@ `.h^`.hL^`L.h^`.h^`.hPLP^P`L.h^`.h^`.hpLp^p`L.h@ @ ^@ `.h^`.hL^`L.h^`.h^`.hPLP^P`L.^`^J.h^`o()pp^p`.@ @ ^@ `.^`.^`.^`.^`.PP^P`.h ^`OJQJo(h^`.h pp^p`OJQJo(h @ @ ^@ `OJQJo(h ^`OJQJo(oh ^`OJQJo(h ^`OJQJo(h ^`OJQJo(oh PP^P`OJQJo(h^`o()h ^`hH.h pL^p`LhH.h @ ^@ `hH.h ^`hH.h L^`LhH.h ^`hH.h ^`hH.h PL^P`LhH.hh^h`.88^8`o(.^`.  ^ `.  ^ `.xLx^x`L.HH^H`.^`.L^`L.hh^h`OJQJo(hHh8^8`OJQJ^Jo(hHoh^`OJQJo(hHh ^ `OJQJo(hHh ^ `OJQJ^Jo(hHohx^x`OJQJo(hHhH^H`OJQJo(hHh^`OJQJ^Jo(hHoh^`OJQJo(hH88^8`o()^`. L ^ `L.  ^ `.xx^x`.HLH^H`L.^`.^`.L^`L.hhh^h`.h88^8`OJQJ^Jo(hHoh^`OJQJo(hHh  ^ `OJQJo(hHh  ^ `OJQJ^Jo(hHohxx^x`OJQJo(hHhHH^H`OJQJo(hHh^`OJQJ^Jo(hHoh^`OJQJo(hHh hh^h`OJQJo(h ^`OJQJo(^`o()^`OJPJQJ^J)  ^ `. L ^ `L.xx^x`.HH^H`.L^`L.h ^`OJQJo(hpp^p`.h @ @ ^@ `OJQJo(h ^`OJQJo(h ^`OJQJo(oh ^`OJQJo(h ^`OJQJo(h PP^P`OJQJo(oh   ^ `OJQJo(^`o() ^`hH. L^`LhH. m ^m `hH. =^=`hH.  L^ `LhH. ^`hH. ^`hH. }L^}`LhH.h h^h`hH.h 8^8`hH.h L^`LhH.h  ^ `hH.h  ^ `hH.h xL^x`LhH.h H^H`hH.h ^`hH.h L^`LhH.h ^`hH.h ^`hH.h pLp^p`LhH.h @ @ ^@ `hH.h ^`hH.h L^`LhH.h ^`hH.h ^`hH.h PLP^P`LhH.hhh^h`OJQJo(hHh88^8`OJQJ^Jo(hHoh^`OJQJo(hHh  ^ `OJQJo(hHh  ^ `OJQJ^Jo(hHohxx^x`OJQJo(hHhHH^H`OJQJo(hHh^`OJQJ^Jo(hHoh^`OJQJo(hHh^`o()h ^`hH.h pL^p`LhH.h @ ^@ `hH.h ^`hH.h L^`LhH.h ^`hH.h ^`hH.h PL^P`LhH.88^8`o()^`. L ^ `L.  ^ `.xx^x`.HLH^H`L.^`.^`.L^`L.\@6(x,ABAK5zWjgc,g;= %*#mdhSRRwV4-Nu::@hy/@<x&.;W XxE&<8|c fT       J                 tl${0         fT                          fT                fT         J                Bk                   fT                .H%                                   fT        8FS        Af d Rz }<Xa|5d >NI^7b c*fej[u}?6@D8DXc4`N so=S_  @ 8@UnknownG*Ax Times New Roman5Symbol3. *Cx Arial7.@ CalibriCNComic Sans MS;Wingdings?= *Cx Courier NewA$BCambria Math"1h!,G YY!Z4  G 2qHP ?*f2!xx 'Name:__________________________________Preferred Customer Wenona Youngd                 Oh+'0  $0 P \ h t(Name:__________________________________Preferred CustomerNormalWenona Young5Microsoft Office Word@0@?@ACDEFGHILMNORS^UVWXYZ[\]_`Root Entry F;hQ 1TableVWordDocument.SummaryInformation(:DocumentSummaryInformation8BMsoDataStore :zhphIDUU2HJP==2:zh@xhItem PropertiesSHHRCE0P1NB==2 :zh@xhItem  Properties OZZJHILYSN==2 azh`ƂhItem T{PropertiesHIAC20NKU2LQ==2azhphItem #Properties'UCompObj-r  !"$%&()*+,. DocumentLibraryFormDocumentLibraryFormDocumentLibraryForm This value indicates the number of saves or revisions. The application is responsible for updating this value after each revision. metaAttributes"/>   F Microsoft Word 97-2003 Document MSWordDocWord.Document.89q