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MATH 221 Week 2 HomeworkAssignment
1. Two variableshave apositive linearcorrelation.Doesthe dependentvariableincrease or
decrease asthe independentvariable increases?
2. Discussthe differencebetweenrand p?
3. The scatter plotof a paireddataset isshown.Determine whetherthere isaperfectpositive
linearcorrelation,astrongpositive linearcorrelation,aperfectnegative linearcorrelation,astrong
negative linearcorrelation,ornolinearcorrelationbetweenthe variables.
4. Identifythe explanatoryvariableandthe response variable?
5. Two variableshave apositive linearcorrelation.Isthe slope of the regressionline forthe
variable positive ornegative?
6. Givena setof data anda correspondingregressionline,describe all valuesof x thatprovide
meaningful predictionsfory.?
7. Match the descriptionwithadescriptionbelow?
8. Match the descriptionwithadescriptionbelow?
9. Match the descriptionwithitssymbol(s)?
10. Match the regressionequationy=0.00114x+2.53 withthe appropriate graph?
11. Match the regressionequationy=1.662x+83.34 withthe appropriate graph?

2. 12. Use the value of the linearcorrelationcoefficienttocalculate the coefficientof determination.
What doesthistell youaboutthe explainedvariationof the dataaboutthe regressionline?Aboutthe
unexplainedvariation?r=-0.775
13. Use the value of the linearcorrelationcoefficienttocalculate the coefficientof determination.
What doesthistell youaboutthe explainedvariationof the dataaboutthe regressionline?Aboutthe
unexplainedvariation?r=0.244
14. The equationusedtopredictcollege GPA (range 0-4.0) isy = 0.23+ 0.51x1+0.002x2, where x1is
highschool GPA (range 0-4.0) andx2 is college boardscore (range 200-800). Use the multiple regression
equationtopredictcollege GPA fora highschool GPA of 3.5 and a College boardscore of 400.
15. The equationusedtopredictthe total bodyweight(inpounds) of afemale athleteata certain
school isy=-125+3.59x1+1.42x2, where x1 isthe female athlete’sheight(ininches) andx2isthe female
athlete’spercentbodyfat.Use the multipleregressionequationtopredictthe bodyweightforafemale
athlete whois64 inchestall andhas 19% bodyfat.
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MATH 221 Week 3 HomeworkAssignment
1. The access code for a car’s securitysystemconsistsof fourdigits.The firstcannotbe 9 andthe
lastdigitmustbe evenorzero.How manydifferentcodesare variable?
2. A probabilityexperimentconsistsof rollinga6-sideddie.Findthe probabilityof the event
below.Rollinganumberlessthan6?
3. Use the frequencydistribution,whichshowsthe responseof asurveyof college studentswhen
asked,”howoftendoyouwear a seatbeltwhenridingina car drivenbysomeone else?.Findthe
followingprobabilities of responseof collegestudentsfromthe surveychosenatrandom.
4. Determine whetherthe eventEand f are independentordependent.Justifyanswer?
5. The table belowshowsthe resultsof asurveyinwhich146 familieswere askedif theyowna
computerandif theywill take asummervacationthisyear?

3. 6. A distributioncentre receivesshipmentsof aproductfrom three differentfactoriesinthe
quantitiesof 50,30, and 25. Three timesa productisselectedatrandom, eachtime without
replacements.Findthe probabilitiesthat(a) all three productscame fromthe third factoryand (b) none
of the three productscame from the thirdfactory.
7. A standarddeckof a cards contains52 cards.one card isselectedfromthe deck.
8. The percentdistributionof livemultiple-deliverybirths(three ormore babies) inaparticular
yearfor women15 to24 yearsoldinthe pie charts.Findeachprobability.
9. The table belowshowsthe numberof male andfemale studentsenrolledinnursingata
universityforacertainsemester.A studentisselectedatrandom.Completeparts(a) through(d).
10. Outside ahome,there isa 5-keykeypadwithlettersA,B,C,DandE that can be usedto penthe
garage if the correct five lettercode isentered.Eachkeymayusedonlyonce. how many codesare
possible?
11. How manydifferent10-letterwords(real orimaginary) canbe formedfromthe following
letters?
12. A horse race has11 entriesandone personowns2 of those horses.Assumingthatthere are no
ties,whatisthe probabilitythatthose twohorse finishfirstandsecond?
13. Determine the requiredvalueof the missingprobabilitytomake the distributionadiscrete
probabilitydistribution.
14. A frequencydistributionisshownbelow.Complete parts(a) through(e).
15. A frequencydistributionisshownbelow.Complete parts(a) through(e).
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MATH 221 Week 4 HomeworkAssignment
1. The histogramseachrepresentpartsof a binomial distribution.eachdistributionhasthe same
probabilityof success,p,butdifferentnumbersof trails,n.Identifythe unusual valuesof x ineach
histogram.

4. 2. About40% of babiesbornwitha certainailmentrecoverfully.A hospital iscaringforsix babies
born withthisailment.The randomvariable representsthe numberof babiesthatrecoverfully.Decide
whetherthe experimentsare binomial experiments.If itis,identifyasuccess,specifythe valuesof n,p
and q,listthe possible valuesof the randomvariable x.
3. Findthe mean,Variance,andstandarddeviationof the binomial distributionwiththe given
valuesof n andp?
4. 56% of menconsiderthemselvesprofessional’sbaseballsfans.Yourandomlyselect10menand
ask eachif he considershimself aprofessionalbaseball fan.Findthe probabilitythatthe numberwho
considersthemselvesbaseball fansis (a) exactlyeight,(b) atleasteight,and(c) lessthaneight.If
convenient,use technologytofindprobabilities.
5. Fiftypercentof householdssaytheywouldfeel secure if theyhad$50,000 in savings.You
randomlyselect8householdsandaskthemif theywouldfeel secureif theyhad$50,000 insavings.Find
the probabilitythatthe numberthattheysaytheywouldfeel secure is(a) exactlyfive,(b) more than
five,(c) atmost five
6. 44% of adultssay cashewsare theirfavorite kindof nut.Yourandomlyselect12 people andask
each to name theirfavorite nut.Findthe probabilitythatthe numberwhosaycashewsare theirfavorite
nut (a) exactlythree,(b) atleastfour,and(c) at mosttwo.
7. 33% Of College StudentsSayTheyUse CreditCardsBecause Of The RewardsProgram.You
RandomlySelect10 College StudentsAndAskEachTo Name The ReasonHe Or She UsesCreditCards.
FindThe ProbabilityThatThe NumberOf College StudentsWhoSayTheyUse CreditCards Because Of
The RewardsProgram Is(A) Exactly2, (B) More Than Two,And(C) BetweenTwoAndFive Inclusive
8. 37% of womenconsiderthemselvesfansof professional baseball.yourandomlyselectsix
womenandask eachif she considersherself afanof professional baseball.(a) Constructabinomial
distributionusingn=6and p=0.37
9. Giventhatx has a poissondistributionwithµ=8,whatisthe probabilitythatx=3?
10. Giventhatx has a poissondistributionwithµ=0.1,whatis the probabilitythatx=2?
11. Decide whichprobabilitydistribution- binomial ,geometric,orPoisson- appliestothe question
youdon’tneedto answerthe question.
12. Decide whichprobabilitydistribution- binomial ,geometric,orPoisson- appliestothe question
youdon’tneedto answerthe question.
13. Findthe indicatedprobabilitiesusingthe geometricdistributionorPoissondistribution.Then
determine if the eventsare unusual.If convenient,use apoissonprobabilitytable ortechnologytofind
the probabilities.

5. 14. Findthe indicatedprobabilitiesusingthe geometricdistributionorPoissondistribution.Then
determine if the eventsare unusual.If convenient,use apoissonprobabilitytable ortechnologytofind
the probabilities.
15. Findthe indicatedprobabilitiesusingthe geometricdistributionorPoissondistribution.Then
determine if the eventsare unusual.If convenient,use apoissonprobabilitytable ortechnologytofind
the probabilities.
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MATH 221 Week 5 HomeworkAssignment
1. A studywas conductedthat resultedinthe followingrelative frequencyhistogram.Determine
whetherornot the histogramindicatesthatanormal distributioncouldbe usedasa model forthe
variable.
2. findthe area of the shadedregion.the graphdepictsthe standardsnormal distributionwith
mean0 and standarddeviation1
3. findthe area of the indicatedregionunderthe standardnormal curve.
4. findthe area of the indicatedregionunderthe standardnormal curve.
5. findthe area of the indicatedregionunderthe standardnormal curve.
6. findthe area of the indicatedregionunderthe standardnormal curve.
7. Assume the randomvariable x isnormallydistributedwithmeanµ=85 and standarddeviation=4
findthe indicatedprobability
8. Assume the randomvariable x isnormallydistributedwithmean=84 and standarddeviation=4
findthe indicatedprobability.
9. A surveywasconductedtomeasure the heightof men.Inthe survey,respondentswere
groupedbyage.In the 20-29 groupthe groupswere normallydistributed,withameanof 68.7 inches

6. and a standarddeviationof 2.0 inches.A studyparticipantisrandomlyselected.Complete partsa
throughc
10. Use the normal distributionof SATcritical readingscoresforwhichthe meanis506 and the
standarddeviationis116. Assume the variable x isnormallydistributed.
(a)Whatpercentof the SAT verbal scoresare lessthan 600?
(b)If 1000 SAT verbal scoresare randomlyselected,abouthow manywouldyouexpecttobe greater
than 550?
11. Findthe indicated z-score showninthe graphto the right.
12. Findthe indicatedz-score showninthe graphto the right.
13. Findthe z-score that has95.8% of the distribution’sareatoitsright.
14. Findthe z-score that has98% of the distribution’sarealiesbetween –zandz.
15. In a surveyof a womenina certaincountry (ages20-29), the meanheightwas65.2 incheswith
a standardsdeviationof 2.74 inches.Answerthe followingquestionsaboutthe specifiednormal
distribution.
16. The time spent(indays) waiting fora hearttransplantintwostatesfor patientswithtype A+
bloodcan be approximatedbyanormal distribution,asshowninthe graphto the right.Complete
parts(a) and (b) below.
17. A populationhasamean=79 anda standarddeviation=12findthe meananddeviationof a
samplingdistributionof samplemeanswithsample size n=36
18. The graph of the waitingtime (inseconds) atared lightisshownbelow onthe leftwithitsmean
and standarddeviation.Assume thatasample sixe of 100 isdrawnfrom the population.Decidewhichof
the graphs labelled(a)-(c) wouldmostcloselyresemblethe samplingdistributionof the sample means.
Explainyourreasoning.
19. A machine usedtofill gallon-sizedpaintcansisregulatedsothatthe amountof paintdispensed
has a meanof 133 ouncesand a standarddeviationof 0.30 ounce.You randomlyselect50 cans and
carefullymeasure the contents.The sample meanof the cansis132.9 ounces.Doesthe machine need
to be reset?Explainyourreasoning.
A manufacturerclaimsthatthe life spanof itstiresis49,000 miles.Youworkfora consumerprotection
agencyand youare testingthese tires.Assume the life spanof these tiresare normallydistributed.You
select100 tiresat randomand testthem.The meanlife spanis 48,898 miles.Standarddeviation=900
Assume the manufacturersclaimiscorrect,whatisthe probabilitythe meanis48,898 or less?

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MATH 221 Week 6 HomeworkAssignment
1. Giventhe same sample statistics,whichlevel of confidence wouldproduce the widest
confidence interval?
2. Use the valuesonthe numberline tofindthe samplingerror.
3. Findthe marginof errorfor the givenvaluesof c,s, and n.
4. Constructthe confidence intervalforthe populationmean?
5. Construct the confidence interval forthe populationmean
6. Use the confidence interval tofindthe estimatedmarginof error.Thenfindthe sample mean.A
biologistreportsaconfidence intervalof (2.1,3.1) whenestimatingthe meanheight(incentimeters) of a
sample of seedlings.
7. Findthe minimumsample sizenneededtoestimateµforthe givenvaluesof C,S,and E.
8. You are giventhe sample meanandthe sample meanandthe sample standarddeviation.Use
thisinformationtoconstructthe 90% and95% confidence intervalsforthe populationmean.Interpret
the resultsandcompare the widthsof the confidence intervals.If convenient,use technologyto
construct the confidence intervals.
9. You are giventhe sample meanandthe sample standarddeviation.Use thisinformationto
construct the confidence intervalsforthe populationmean.whichinterval iswider?If convenient,use
technologytoconstructthe confidence intervals.
10. You are giventhe sample meanandthe sample standarddeviation.Use thisinformationto
construct the 90% and 95% confidence intervalsforthe populationmean.Whichinterval iswider?If
convenient,use technologytoconstructthe confidence intervals.
11. People were polledonhowmanybookstheyreadthe previousyear.How manysubjectsare
neededtoestimate the numberof booksreadthe previousyearwithinone bookwith95% confidence?
Initial surveyresultsindicatethat= 19.2 books.
12. A doctor wantsto estimate the HDL cholesterolof all 20 to 29 year oldfemales.How many
subjectare neededtoestimate the HDLcholesterol within2pointswith99% confidence assuming

8. deviation=17.2?suppose the doctorwouldbe contentwith95% confidence.How doesthe decrease in
confidence affectthe sample size required?
13. Constructthe indicatedconfidence interval forthe populationmeanusing(a) at-distribution(b)
if you hadincorrectlyusedanormal distribution,whichintervalwouldbe wider?
14. In the followingsituation,assumethe randomvariable isnormallydistributedanduse anormal
distributionorat distributiontoconstructa 90% confidence intervalforthe populationmean.If
convenientuse technologytoconstructthe confidence interval.
15. Use the givenconfidence interval tofindthe marginof errorand the sample proportion.
16. A researcherwishestoestimate,with99% confidence,the proportionof adultswhohave high-
speedinternetaccess.Herestimate mustbe accurate within5% of the true proportion.
17. Use the givenconfidence interval tofindthe marginof errorand the sample proportion.
18. A researcherwishestoestimate,with99% confidence,the proportionof adultswhohave high
speedinternetaccess.herestimate mustbe accurate within5% the true proportion.
19. The table to the right showsthe resultsof a surveyinwhich2560 adultsfrom countryA,1127
adultsfromcountry B,and 1079 adultsfromcountry C were askedif humanactivitycontributesto
global warming.Complete parts(a),(b),and(c)
20. The table showsthe resultsof asurveyinwhichseparate samplesof 400 adultseachfromthe
aest,south,midwest,andwestwere askedif trafficcongestionisaseriousproblemintheircommunity.
Complete parts(a) and(b)
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MATH 221 Week 7 HomeworkAssignment
1. Use the givenstatementtorepresentaclaim.Write itscomplementandstate ish0 and state
whichish0 andwhichis ha.
2. A null andalternative hypothesisisgiven.Determinewhetherthe hypothesistestisleft-tailed,
right-tailed,ortwo-tailed.

9. 3. Write the null and alternative hypotheses.Identifywhichisthe claim.
4. Write the null andalternative hypotheses.Identifywhichisthe claim.
5. 16% of all homeownershave ahome securityalarm.Determine whetherthe hypothesistestfor
thisclaimisleft-tailed,right-tailed,ortwotailed.Explainyourreasoning.
6. A filmdeveloperclaimsmeannumberof picturesdevelopedforacamera with22 exposuresis
more than 19. If a hypothesistestisperformed,how shouldyouinterpretadecisionthat(a) rejectthe
null hypothesisand(b) failstorejectthe null hypothesis?
7. Findthe p-value forthe indicatedhypothesistestwiththe givenstandardizedteststandardized
teststatics, z decide whethertoreject h0for the givenlevel of significance α
8. Findthe critical z values.Assume thatthe normal distributionapplies.
9. Findthe critical values(s) foraleft-tailedz-testwithα=0.06.Include agraphwithyour answer.
10. Testthe claimaboutthe populationmean,µat the givenlevel of significance usingthe given
sample statistics.
11. Testthe claimaboutthe populationmean,µat the givenlevel of significance usingthe given
sample statistics.
12. A randomsample of 82 eightgrade students’scoresona national mathematicsassessmenttest
has a meanscore of 272 witha standarddeviationof 31. Thistestresultpromptsa state’seightgraders
on thisexamismore than 270. At α=0.05, isthere enoughevidence tosupportthe administrator’s
claim?
13. A companythat makescola drinksstatesthatthe meancaffeine contentperone 12-ounce
bottle of colais 55 milligrams.Youworkasa qualitycontrol managerand are askedto testthisclaim.
Duringyour tests,youfindthata random sample of 30 12-ounce bottlesof colahas a meancaffeine
contentof 52.7 milligramswithstandarddeviationof 7.4milligrams.Atα = 0.01, can you rejectthe
company’sclaim?
14. A lightbulbmanufacture guaranteesthatthe meanlife of bulbsisatleast800 hours.A random
sample of 53 bulbshasa meanlife of 778 witha standarddeviationof 60 hours.At alpha= 0.02, do you
have enoughevidence torejecthisclaim?
15. An environmentalistestimatesthatthe meanwaste recycledbyadultsinthe countryismore
than 1 poundper personperday.You want to testthisclaim.Youfindthat the meanwaste recycledper
personperday fora randomsample of 10 adultsinthe country is1.8 poundsand the standarddeviation
is0.3 pounds.Ata=0.10, can yousupportthe claim?Assume the populationisnormallydistributed.
16. A countryraisingthe speedlimitonroadbecause theyclaimthatmeanspeedof vehicle is
greaterthan 40 milesperhour.A random sample of 20 vehicleshasa meanspeedof 41 milesperhour

10. and a standarddeviationof 5.4 milesperhour.Atα=0.10, do youhave enoughevidence tosupportthe
country’sclaim?Parts?Complete parts(a) through(d) below.
17. A travel associationclaimsthatthe meandailymeal costtwoadultstravellingtogetheron
vacationsis$120. A randomsample of 20 such groupsof adultshas a meandailymeal costof $115 and
a standard deviationof $6.00. isthere enoughevidence torejectthe claimatα=0.01? Complete parts
(a) through(d) below.
18. Decide whetherthe normal samplingdistributioncanbe used.If itcan be used,testthe claim
aboutthe populationpatthe givenlevel of significance α usingthe givensamplestatistics.
19. Write the claimmathematicallyandidentifyh0andha. (b) Findthe critical values(s) and
identifythe rejectionregion(s).(c) findthe standardized teststatistic.(d) Decide whethertorejector
fail to rejectthe null hypothesis.Anenvironmental agencyclaimedmore than25% of consumerhas
stoppedbuyingacertainproductbecause of environmentconcerns.Inarandom sample of 1020
consumers,youfind35% have stoppedbuyingthe productatα =0.03, do youhave enoughevidenceto
supportthe claim?
20. Write the claimmathematicallyandidentifyh0andha. (b) findthe critical value(s) andidentify
the rejectionregion(s).(c) findthe standardizedteststatistic(d) decide whethertorejector fail to
rejector fail torejectthe null hypothesis.Anenvironmental concern.Inarandomsample of 1020
consumers,youfind35% have stpedbuyingthe productat α=0.03, do youhave enoughevidence to
supportthe claim?
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