exam 3 - Home a Homework Review for Exam 3 Math 01-B07 The...

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Unformatted text preview: Home (- a digitalveilummactecol- Homework: Review for Exam 3 Math 01-B07, The population meanaml standard deviation are given below. Fini the Inquirer} probability anédflermine whether the given sample mean wouli be considered unusnal. Homework, Qu ium a Tats Fora sample ofn=62Llindthe probability ofa samplemanbeinglessthan249fln=25 andcr=1JI @mmammiewpage : ofthe standardnormaltable, II 1" Text ) D ea 2 (iclicktheicontoviewpageloftheslami'ndnormaltable. Gradeboolr Since the sample size is greater than 30, the cranial limit theorem unbe used to conclude that the distribution of sample means is approximately Study Plan normal, where the mean ofthe sample mms n; is equalto the population mean]: andthe standard deviation ofthe sample means (I; is agnal to (optional) the population standard deviation (1 dividedby the square root ofthe sample size n, as shown by the fmlflas below. = 5 Tools for Succfis n; =11 and a; 7 ll; Multimedia Library As givm inthe problem statmnent, 11:25, so n;=25 Now findo; Substitute o= 1 37 andn=62 into the formula for o; and upli'l'y, Purchase Options F Courge Tools 0' G 1,37 #5 0.174 Qummn is complete. . Home _\ 7 _ _ _ _ _ ‘ (_ Q d‘g‘lalveuumlnmtmb fl httpst'lwww.matl\nl.(aflv'5mdenVPlayerHomewnrk‘ast‘homeworkld_3_511l)9549flquestlonld_lfiiflnshed-€a|5e&dd-}365187&(entenmn-yes&lromPleyerChe mush“ Magmat Kelly Galleg 5 21/241,151‘ ' Homework: Review for Exam 3 -Overview Math 01—307, The population manand standard deviation are given below, Find the required probability anddetermine whether the given sample mm would he considered Imnsnal. Homework, Quium a Tats Fora sample ofn=62Llindthe probability ofa samplemmlnbdnglessthan2493n=25 ando=l,37, aClicktheicontoviewpage z ofthe standardnormaltable. R d Text ». ’ ea 2 (iclicktheicontoviewpageloftheslanhrdnnrmaltable. Gradeboolr Find the probability that the sample mmx will fallinthe givm intmal ofthe sampling distribution by transforming x to a ZrSCOIE um'ng the formula Study Plan below. (optional) _ Tools for Succfis Multimedia Library Purchase Options D Course Tools =5 -0,57 Quwmn ‘5 complete. D n hflpsllwww MMILQWSIudenUPlayeIHumewmkm hommumd 25110954qu [fl (- ‘0 mgualveuummmuol Kelly Gallegos 21 #151 - ‘ » Review for Exam 3 Math 01-307, The populatiunmeanaml slamlarddevialiunaIe givenbelflw. Fini lhe requiredpmbabiliiy arddeienuine Whelhel the given sample meanwoulibe cunsideredlnnmial Fora sample ofn=61findlhepmbabilityofa samplemanbeing less lhan249i‘l'p=25 andcr=1,37, @cfickmemoviewpage 1 ofthe standaxdnm'mallahle, @cnckmnmmvigwpagezomc standardnunnallahle. , x z= 0 x Study Plan (optional) 24.9- 25 0.174 Tools for Succfis 9: -O,57 Multimedia library The probability lhat lhe sample meanislessthan249 is quaint: PG<24,9) =P(z< *057), This pmbability corresponds tothe axes lo theleflof z= *057undenheslandaIdnotmaldislribmimTofindlheaiutothelefiofzusethestandaldnmmallahletofindlheaiuthalcmespmdsto z. Purchage Options ’ Courge Tools Note lhal dihetlechmlogymthe standaxdnm'mallahlecanbe usedlufindthisalubulfotthepmposesofthis explanation, wewilluselhelable, Theaiu that conesponds to 2: *0 57inihe slandaidnormaltahleisolMl Thus,fma sample ofn=61lhepmhalrilityofa samplemeanbin'ng less lhan249flu=25 an‘ch‘leisOlMfl, Tn de'lennine i‘l'a sample meanaf24.9i5 consi‘letedumlsualrecall lhal events wilha probability nilessthan 5% are consflemdunusual Queqmn l5 cnmplete. fl Cut . P t Eecopy Kelly Galleg s ase v d Funnel Painte- ammo a Review for Exam 3 Findthe pmbahilily andimetptel the [esulls Ifconveniem, use technnlngy to find lhe probability, During a cenain week lhe mm price ofgasuline was $2.714 pet gallpn. A tandem sample of 35 gas slaliuns is drawnfmm lhis pupulaliim Whal is lhe pmbabilitythallhe meanpricefmthe sample was betwem $2,693 and $2,724 that week? Assume a = $0,049, @cnckmnmmvigwpage 1 ofthe standardnunnallahle. @MMkmtompagezofme standaxdnm'mallahle, The pmbability lhat a sample mean lies between $2.693 ani$2.724 canbe foun‘l using the Cenhal Limil Themem. The CenhalljmitTheorem 1, Ifsamples ofn'zenwheren230,a1edtawnfiomanypuplfla|innwithammp amia slaniatddevialiuno,thenlhe samplingdisln'huliunafsample means appmximalesa mmaldisuilyuliun The grealenhe sample she, lhe bell: the appmximatkm 2,Thesampfingdi5ufimfionofsamplemunshasammequalmthepupulafim mean 3,Thesamphngdishibufimofsamplemeanshasaslandasddefiafimeqmllolhe pupulalion slandaIddevialimdih-kiedbythe squaIe (out ofn Aocmding m theCemIalLimil Themem, lhe distributionoflhe sample means willhe appmximately normal Determineihe palamelets oflhe samphngdiskibuliunFirsLiindlhemeanushgthefacllhalthemeanoflhe samplingdiskibuliunislhesameaslhepupulafiunmean n; =2714 Now findthe slandajd deviation ofthe dislrihulinnof sample means, munding In five decimalplaces, me the Casual Limit Theorem, the sampling Quwmn ls cnmplete. fi- ‘adlgltalvellum nextecol https wwwmattullLom/Student/FlayelHomewo asp homeworldd 3.511095495tquestlonl falseatd MIETStEenterwm ethtromPlayerChEl Kelly Gallegos 2/24115 1" - . » Homework: Review for Exam 3 Find the probability and interpret the results. liconvem'ent, use technology to find the probability. During a certain week the mean price ofgasoline was $1.714 per gallon. A random sample of 35 gas stations is drawn from this population “that is the probability that the mean price for the sample was betwem $2,693 and $2,724 that week? Assume o =$0.049. Homework, Qn iufi a Tats @ Click the icon to View page 1 ofthe standard normal table. > Read eText @ Click the icon to View page 2 ofthe standard normal table. Now find the standard deviation ol'the distribution of sample meam, rounding to five decimal places. From the Central Limit Theorem, the sampling “New" distribution or sample means has a standard deviation equal to the population standard deviation divided by the square root orn Study Plan _ (optional) o- e L = ‘ G Tools for Snccfis (1049 \l 35 0.00828 Multimedia Library Pn rcllage Options With these values for the mean and standard deviation the z—score corresponding to a sample mean of2.693 can be folmd, rounding to two decimal F Course Tools places. 5; 2.693 — 2.714 0 0087.8 Questlnn l5 complete. (- ‘6 dlgltnlvellnmneneeol MostVtsited Magneto Kelly Galleg 5 2/24,:‘15 1i Homework: Review for Exam 3 Find the probability and interpret the results. lfconvenient, use technology to find the probability. During a certain week the mm price ofgasoline was $2.714 per gallon. A random sample of 35 gas stations is drawn from this population What is the probability that the mean price for the sample was betwetm $2,693 and $2,724 that week? Assume o =$0.049. Homework, Qnium n Tats @ Click the icon to View page 1 ofthe standard normal table. Q Click the icon to View page 2'. ofthe standard normal table. ) Read eText 0.0003 Gradeboolr ’5 i 2.54 Study Plan _ (optional) While m'thm' technology or a normal distribution table can be used to answer this question, for the purposes ofthis explanation we will use a table = To find the probability that i is less than 2.693, find the value on the table that corresponds to z: r254. Tools for Snccfis = < 7254 Multimedia Library PGQ'W) 7 3:055 ) Pn rcllase Options Now find the ZiSCm'E for a sample mean of 2.724, rolnxfing to two decimal places. D Course Tools 1724* 2.714 0.00l2l =5 1.21 Use the standard normal table to find the probability that i is less than 2.724. anlnn ls complete. ...
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