Exam 2 Fall 2010

Exam 2 Fall 2010 - STA-3E2} Exam 2 October 25, 2&10...

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Unformatted text preview: STA-3E2} Exam 2 October 25, 2&10 Randal! Mifier Name: Studem Number; Instrucuuns: Read every quesrion carefitlEyr T0 receive fun credit fer any question, you must provide {he formuias used in the probiem. shew year work, and give the curreet answer in reference te the problem. for exampie” “The mean age of an FIU studeurs is 27 years.“ Rememberr d0 not round your caicuéatiens uutéi you ebtain yuur fiua} answer and then reund to four significant figures. Whenever the question says, expiairr why, 0f justify. you must provide the coherent reasoning as re why you auswered the way you did. I. ('25 points) An airiine wants to seiecr a computer software package for its reservatieu system Three sufiware packages; ( L '2“ and 3) are commercially ave-nimble. The airfiue wiii choose the package that bumpe as few eassengersr on average? as: possible during a month. An experiment is set up in which each paekage is used to make reservatiens for five randomly reelected weekS. {A total of 15 weeks in rhe experiment.) Ere number Ofpasseugers bumped fer each week is given beiow, Conduct‘ a res: {0 determine if‘ehe meau number 0f pegseugere bumped difiers for the three sefiware packages. Test at Q: = .01 ‘ {Sum kliSum Xmsquared IMeazr Xl {Paekage}: i2 {4 7 3 I} 117 {39 iPaekageZ; he 9 610112 £47 £461 {94 iPaekageEIJR 14 9h] 116162 We }12.4 E STAm3123 Exam 2 October 25, 2010 Randafl Miller 2. {$5 points} A local consumer reporter wants :0 compare the average costs of grocery items purchased at three differenr supermarkets“ Winn-Dixie, Pubiix, and KaShN Kerry Prices (in dollars) were recorded for a sampie ef 60 randomly selected greeery items at each of the three supermarkete. In order to reduce item— fe~i£em variation. the prices were reeerried for each item on the same day at each supermarket E Item ] Winn—Dixie Pubiix [Kash “N Kerry i I neg; ThirstTewei f 1.21 {1.59 E l 2) PosiGeiden Crisp W £3.78 2.99 g 335 g 59) Colgate Shave .94 § EJO i L19 § 60} foam/Arc Kid Bean‘ :55 {.56 ] .38 e Seance eff SS MS F Super Market 1 39.23 Item g 108.5 Error f 0.0336655 Total } are] 222.20873HE What is the purpose of blocking on item in this study? Compiete the ANOVA Table above: 18 there eviderree {0 indicate a difference in the mean price»: of the three sepermarkers‘? Test at a = .85 Lu STA—3 E 23 Exam 2 October 25. 2010 Randall Milier {30 pointe) A physician and president 0f 3 Tampa Health Maintenance Organization {HMO} is afiempting {0 Show the benefits ef managed heahh care {0 an insurance company. The physician believes that certain {ypes of doctors are mere cost=effeeiive than others. One theory is that ?rimary Speeiafty is an imperiam fame: in measuring the eost—effecstiveness cf physicians. Te investigate this. the presiden: ehtained indegendem random sample 0f 20 HMO physicians fiem each of feet primary speeéahiesteheraé Practice (GP). maternal Medicine {EM}, Pediatrics (FED), and Family Physicians (FF) «ahd recorded {he total per member per month charges for each. In erder tea cempare the mean Charges for the few“ speeieity groups“ the data wiIE be subjected £0 a one~way ANOVA, The resuits of the Bonferroei analysis is Summarized beiow Group PEI) PP GP PM SampEe Mean 25.3 30.6 4 I .4 Which pfimary speciahies have significantly {ewer mega) charges than internal Medicine (EM)? STA-3.123 Exam ‘2 Qetober 25.; 2010 Randaii Mifier {15 paints) A beverage distributer wanteci to determme. the combinatiea of advertising agency {twe IeveES) and advertising medium (three Ievek} that wouid profiuce the iargest increase in saies per acivenising fiellar. Each of {he advertising agencies prepared copy or fiim, as required for each 0f the media—-- newgpapen radio, and television. Twelve smaii towns; of roughly the $211316 size were Seiectefi for the experiment, and two each were assigned to receive and advertisement prepared and trammitted by each of the six Agency—Meaiium combinations. The delinr increases in sales per advertising (101131”. baseé on a E— month sales period are shown in the {able AS is the ANOVA tabie. Cemplete {he ANOVA Table. Advertising Medium Newspaper Radio Televisien Ageney‘ I i 15.3“ 12.? 20.1414 12.1162 .2 i513 22.4 243‘ 28.8 12.5‘ 9.4 Saarce df SS M’S F All Treatments E § 3 E5 "44! J Agency i 39.96"! I Medium I 99. I ( Agency X Medium é Error 1 5.? Tmal "I 349.849] 1 Would you {est the main effects faemrs‘ Agency amd Medium, in this example if testifig at (2' 2,31? Expiain why or Why net. ‘Ji STA—3123 Exam 2 October 25“ 2010 Randafi Mine? Extra Credit} A market research firm is interested in the possible success of new flavors of ice cream A study was conducted with three éifferent flavors" eeaeh, amend. and coconut Three participants wez'e given a sample 0f each ice cream i}: mndom order. end asked to rate the flavors on a EGO-point seaie, The :‘esults are given in the tabie belew m FLAVOR Eartieipent Peach iAimond %0e013u£ {Sum Sum X—squared Mean 3 1 651 73g (23% 33523 67 1 2 7d 33; :33? 17268 $5.33 } 3 73! 791 64 25666 2’2 Sam 208 249 195 Sum X—Squared 34454 $9314 12689 Mean 6 .33 80 65 ee Censtruct an ANOVA summary {abie using the infatuation gives. it Is there sufficient evidence 03? a difference in [he mean ratings for the three flavers? Use (2! = *05 . ...
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This note was uploaded on 07/23/2011 for the course STA 3123 taught by Professor Staff during the Fall '08 term at FIU.

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Exam 2 Fall 2010 - STA-3E2} Exam 2 October 25, 2&10...

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