ࡱ> 130 'bjbj  cc' *ceeeeeeteezjcc;P"Bt@r+W 03;; :   Economics 103A Dr. Tom Means Exams #2 Fall 2003 Name Answer all of the questions in order. Show all of your work. No credit will be given for correct answers with no work shown. Partial credit will be awarded where possible. Point values are shown to the left of each question. Good luck. (60 points) 1. Consumer Retorts, a leading consumer magazine, claims that the super-extra-large pizza's served at Vinnie Gumba's Pizza Joint are not 30 inches in diameter. A random sample of 25 pizza's yields the following results: the sample mean equals 30.20 inches 8 people ordered the Gumba Fish Special pizza (fish heads, anchovies, sardines, and garlic) it is known from previous studies that the population standard deviation equals 0.4 inches. (10) a. At the 1% level of significance, test the hypothesis that the proportion of people ordering the Gumba Fish Special is less than 40%. (5) b. What sample size is required if you want to be 90% sure that the sample proportion will be within 4% points of the true proportion. (5) c. Set up a 80% confidence interval for the true proportion? (10) d. Test the hypothesis that the true population mean is not equal to 30 inches. Set the type one error equal to 10%. (5) e. What sample size is required if you want to be 98% sure that the sample mean will be within 0.05 inches of the true mean. (5) f. Set up a 95% confidence interval for the true mean? (5) g. Calculate the probability of the type two error assuming an alternative population mean of 29.75 inches. (Hint: use only the loewr cutoff value based on part d.) 2. Consumer Retorts magazine decided to test another claim by Vinnie. He claims that his jars of Tasty Tomato Sauce have an average net weight of 16 ounces. A sample of 16 jars yields the following information: - a sample mean of 15.75 ounces and a sample standard deviation of 0.5 ounces. (5) a. Set up a 99% confidence interval for the true population mean? (10) b. At the 5% level, test the hypothesis whether the true net weight is less than 16 ounces. >BIF R S \ ) 4  PQe&,7Nh' h9)W5h9)Wh9)W5OJQJh9)W>*OJQJh9)WCJOJQJh9)WOJQJ#=>JKF G $ % J   # $ f g f g P & F^ 0^`0$a$PQ&'xy%&'^ 0^`0 #P<0/ =!"#8$8%|HH@R(,, `,-^&'666666666vvvvvvvvv666666>6666666666666666666666666666666666666666666666666hH6666666666666666666666666666666666666666666666666666666666666666666666666662 0@P`p2( 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p8XV~OJQJ_HmH nH sH tH <`< NormalCJ_HmH sH tH DA D Default Paragraph FontViV 0 Table Normal :V 44 la (k ( 0No List TC`T Body Text Indent0^`0OJQJPK![Content_Types].xmlj0 u$Nwc$ans@8JbVKS(.Y$8MVgLYS]"(U֎_o[gv; f>KH|;\XV!]օ Oȥsh]Hg3߶PK!֧6 _rels/.relsj0 }Q%v/C/}(h"O = C?hv=Ʌ%[xp{۵_Pѣ<1H0ORBdJE4b$q_6LR7`0̞O,En7Lib/SeеPK!kytheme/theme/themeManager.xml M @}w7c(EbˮCAǠҟ7՛K Y, e.|,H,lxɴIsQ}#Ր ֵ+!,^$j=GW)E+& 8PK!\theme/theme/theme1.xmlYOoE#F{o'NDuر i-q;N3' G$$DAč*iEP~wq4;{o?g^;N:$BR64Mvsi-@R4Œ mUb V*XX! cyg$w.Q "@oWL8*Bycjđ0蠦r,[LC9VbX*x_yuoBL͐u_. DKfN1엓:+ۥ~`jn[Zp֖zg,tV@bW/Oټl6Ws[R?S֒7 _כ[֪7 _w]ŌShN'^Bxk_[dC]zOլ\K=.:@MgdCf/o\ycB95B24S CEL|gO'sקo>W=n#p̰ZN|ӪV:8z1f؃k;ڇcp7#z8]Y / \{t\}}spķ=ʠoRVL3N(B<|ݥuK>P.EMLhɦM .co;əmr"*0#̡=6Kր0i1;$P0!YݩjbiXJB5IgAФ޲a6{P g֢)҉-Ìq8RmcWyXg/u]6Q_Ê5H Z2PU]Ǽ"GGFbCSOD%,p 6ޚwq̲R_gJS֣9)嗛(:/ak;6j11太x~<:ɮ>O&kNa4dht\?J&l O٠NRpwhpse)tp)af] 27n}mk]\S,+a2g^Az )˙>E G鿰L7)'PK! ѐ'theme/theme/_rels/themeManager.xml.relsM 0wooӺ&݈Э5 6?$Q ,.aic21h:qm@RN;d`o7gK(M&$R(.1r'JЊT8V"AȻHu}|$b{P8g/]QAsم(#L[PK-![Content_Types].xmlPK-!֧6 /_rels/.relsPK-!kytheme/theme/themeManager.xmlPK-!\theme/theme/theme1.xmlPK-! ѐ' theme/theme/_rels/themeManager.xml.relsPK] ' % ' P'8@0(  B S  ?))_`eopu+0)#37=$  "#$()34fglmpefgklo'*+xy}~$)::::::::::::::::: tt^t`OJQJo(-9)W)@'`@UnknownGTimes New Roman5Symbol3 Arial9Palatino9MNew York"AU&U& [-$;2dA-; HP?';0 Exam #2 S'97KATHRYN S. MEANS Tom Means  Oh+'0  < H T `lt|'Exam #2 S'97KATHRYN S. MEANS Normal.dotm Tom Means2Microsoft Macintosh Word@F#@p#c@z#t@z#t- ՜.+,0 hp|  'A  Exam #2 S'97 Title !"#$%&')*+,-./2Root Entry F*%Bt41TableWordDocument SummaryInformation( DocumentSummaryInformation8(CompObj`ObjectPoolW%BtW%Bt F Microsoft Word 97-2004 DocumentNB6WWord.Document.8