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Unformatted text preview: 2010 AP” STATISTICS FREEQIESPONSE OUESTIGNS (Form B) 5.15m advartisfing agmcy in a large city is conducting a survey of admits to investigate whemc: there: 18 am association between highest {cm} of educationai axhievemem and primary seam: for news The company takes a mnéom sample of 2,500 adults m the city The results are shown It: the table belcw . .g “(mummwgmkw oMWmWWQW w HIGEEST LEYEL OF EDUCATIONAL ACHIEVEMWI‘W .. Wu MWWN WW High Schml Graduate But Nat College wow MW W «WWW MWWWW (a) if an mink is m be scicctcd at madam from mis sampie, what is the probability that the seiected adth is a coiiegc gmduate‘flabtains news primariiy from the interns? (b) If an adult who is a college graduate is to be seiacted at random fmm this sample, what is the pmbabflity that the selected adult 91mins nawg primarily fmm the Manet? (c) When selecting an aduit at random from the sample cf 2,500 aduits, am the events “is a college graduate” and “obtains ms primariiy fmm the interact" independent? instify yam answer. ((3) The company wants to wnduct a statistiflal test to invegtigmc whether there IS an association between educational achievement anti primary source for ncws for adults 12: me city What is the name of Che statimcal test that simuid be used? What are the apprnpriate degrees of freedom for this test? / \A b WWC S V» é‘w“ OC. (0013+ (3519+? ‘v‘w b93+b$7flf&fi);4c 9 ‘95) 33W 5) Sum/u? PC MC PLBB - PUA® 0V6" VC&\10 b P(CV\~C—CVV\¢4‘ C (mfg, fiwéwi‘) = i : 351} ‘P‘ ,1 m9 va'if Shawn @013 0/ 3:31! 337 C. WW3 ~ Cu) m {CWFGQM Mink PCB) PCCCC Km 5V3:Mc4 CinwC> PC ‘ {£35, jvmhéx) 94: :1 (m ‘C‘ CC MAM/CW», ME I 3350 ' WUBC’ Wm) \V 155 557 7g 97"; > mlr wCJCPfhaéLfl'C 0C 70 CFSJ‘ MD QSSOCCOCCML-llhdfiblkdbmge, E if juSC 76 164' AM) - (if \S (AW/(0C GHQ" (5413”m ’ "‘ ‘fi 50? 0/ koijMAj *Ca0r<»‘~ 'h: br \e’wwu J, WM moo/Ce. 2000 AP® STATISTICS FREE-RESPONSE QUESTIONS 4. Baby walkers are seats hanging from frames that allow babies to sit upright with their legs dangling and feet touching the floor. Walkers have wheels on their legs that allow the infant to propel the walker around the house long before he or she can walk or even crawl. Typically, babies use walkers between the ages of 4 months and 11 months. Because most walkers have tray tables in front that block babies’ views of their feet, child psychologists have begun to question whether walkers affect infants' cognitive development. One study compared mental skills of a random sample of those who used walkers with a random sample of those who never used walkers. Mental skill scores averaged 113 for 54 babies who used walkers (standard deviation of 12) and 123 for 55 babies who did not use walkers (standard deviation of 15). (a) Is there evidence that the mean mental skill score of babies who use walkers is different from the mean mental skill score of babies who do not use walkers? Explain your answer. m i EITAI IS/pu Mimi»; WM “Rf/i wdaj 8%}! H0 Hit/UL” é/ANO W (/J‘” W25: WWW i V did/"J U", Mgr. It 017$ N0 VJ Winn—Ii oSSI/LV'M’ df' of Plan . RIl/l/l.lf\0LU/V\ bITl/I" 50 W~PUJ 0f balm!) VFW VAWé‘I.IsW.ij SC IJ’C Jfai‘ NbvmoQ Wu batik (Oi/twin (Nags) CW ‘2 330 Noamm. itaiwauod 13am wk» We Mkw glottal ._ (imitative of: 120910 We. ow in} my WCK‘M 09' J—Sampu 4/1654 rIly comFm/iwj Mal/“9 JC‘I—L—W’W "0 Isms? 019409.23 Pyaiweoow’ (QWM (”A or,“ “is W2 "I 12’ 15* /+,—— 94 53 “I < 0(7 “I W {,f‘j5 of Iris Eviabtwts CAI/lei odor Sit/(u JAN, Val up 1 new ) \i T? “HM (l) CIDEVKVCJ h“ HACK-Wk)“ git/(l IS 4E” I00 lat/.5 Vito (ital 4., / fl“ ’ V ‘ a ‘ 01M. “a use Walbtt_3_ (b) Suppose that a study using this design found a statistically significant result. Would it be reasonable to conclude that using a walker causes a change in mean mental skill score? Explain your answer NO anEK and part/(,4; (‘ottn bulb) Io? Mach In a (OWQII I7 Mki/blIOOI (XPQVIIWVCI- 71M; t5 (3ij 0M. obgewaamm >1ij 50 0t Mugat WICLI‘twsI/uk‘o 0am mt I9! W9€WMII Copyright © 2000 College Entrance Examination Board and Educational Testing Service. All rights reserved. AP is a registered trademark of the College Entrance Examination Board. GO ON TO THE NEXT PAGE. -12- ' 2001 AP® STATISTICS FREE-RESPONSE QUESTIONS 5. A growing number of employers are trying to hold down the costs that they pay for medical insurance for their employees. As part of this effort, many medical insurance companies are now requiring clients to use generic brand medicines when filling prescriptions. An independent consumer advocacy group wanted to determine if there was a difference, in milligrams, in the amount of active ingredient between a certain “name” brand drug and its generic counterpart. Pharmacies may store drugs under different conditions. Therefore, the consumer group randomly selected ten different pharmacies in a large city and filled two prescriptions at each of these pharmacies, one for the “name” brand and the other for the generic brand of the drug. The consumer group's laboratory then tested a randomly selected pill from each prescription to determine the amount of active ingredient in the pill. The results are given in the following table. N o my? 0v cit/4* ACTIVE INGREDIENT - PO 3: +70, 170 CL (in milligrams) {£44442 E W PM IPharmacy 1;2l3§415l6£7ls|9;101 Name brand 245 l 244 240 250 243 l 246 l 246 l 246 247 250 1 Generic brand 246 l 240 235 l 237. 2—43__. 239 L241» 23s zgsjmggi l (Li -S 43 o x: «S —2> -3 eke Based on these results, what should the consumer group’s laboratory report about the difference in the active ingredient in the two brands of pills? Give appropriate statistical evidence to support your response. {k 3 ’ , » y . [I g ‘ ‘ 4,; ‘ YVICI’I—(w OI Pan/f; ’I" ”I“; i" (‘13 a /_§0V‘VP(/ + k54_ rm)!» CLIP" {'V( 9, (1 fix 3‘ .) W (1 “,9 6&4 ET: 4'- fl 3 (Jr/KTI I/Lr‘ {Ob/“2C3 ~ i. S—I'ak 1 ”“3/I4) : 0 (>3 “mam dip/@Kmu 1‘1“ arm—{- 010 aCfiI/f I’I +0 Ihfisfldiiémfi' @Wrwé " Na We bm Pf") W [X 07 Warn '. 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S . , O " TO THE NEXT PAGE. ‘HAM +I/\Q W.0.4/\ Okvkuvdgol’ oclwe \V\ V4 par 13 “6+ ’HH 54M. 2010 AP” STATISTICS FREE-QRESPONSE QUESTIONS 3. A humane smicty wanted to estimate with 95 percent confidence: the properties!) cf househoids in its county that awn a: ices: mm dog. (a) {arm—pm the 95136::th confidant: level in this context. The human: society salmtzd a madam 82mph: 0f househtfids in its county and used thfl sample to estimate the pmportion of ail huuscheids that own at least om: dag. The conditions for cficuiating a 95 percent confidence interval for the proportion of households in this mum}; that own at least one dog were checked and verified, and the resulting confidence intents? was 0921? § (3.119. (b) A natimmi pet products association ciaémeé that 39 percent at" 3:31 Amican houschnids owned at least one flog. Bees the humane society’s interval estimate gravid: evidence that the propoflion of dog owners in its county is different from thus clam natioaal pmpurtion? Explain. (c) Haw many hoasehoids were sgiectad in the humane society’s sample? Show how you obtained your answer. 0\. L9 :1)» WW 4D ,E‘QMPU M&“:;,Man) ”HM/VS) 95‘?) 011’fo ComQOUU/tu ‘Mjrévwii WM (11th ‘H/W W PWPOVH‘JF of MOM? Maids“ iv 545 com. H404 own a4 (emf Me. 0033 ,—. ‘ an...“ .mmw x WK?! NPPALMA Saudi; 9 op ‘qu/yr {i c; P 4 99') (cemm ,4 LOV\J€K+“ b_ QM “HIM COW-Q'OUMQ \ngw/C (3 (4,84 87 / .33L>) 3757:. {5 u JAM _i\n4€vv& 0W5 m? vadx £m‘djmq AWOL “HM ¥Vupbvfioi~ OB 060a owner iL H3 {mm-K? V5 dhf‘iirmrxi MM 4 \M C » '3‘ “0490" 279“]- it» Mkvvaf» g ‘3‘? J'sz’jl M56. P 7* “Mia (,owmi (Abmciwmw 1 0m: W1" :1) VM. “R (M [w ( P‘s/”bpy"! “um . C- a”? : Wat/3w 5f EVV‘M V P“ "L“ 4;? 5 "14‘“? 2+ 213 HO: '4°“'* ”N 31° "3 WV w» OLE/15 war J Ho) — WNW/{(24 z)“ ...
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  • Winter '17
  • Dietrich
  • Statistics, Simple random sample, College Entrance Examination Board, Generic brand, college entrance examination, mental skill score

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