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AP Statistics
Name:
4
n[orw,^Apr"O-a'(.f
trwr-rdh-*t
n-lt-r
National Fuelsavercorporation manufacturesttrePlatinurn
G-asaver,
a devieethey claim.tnay increase Lr
gasmitreageby22%o.."
Herearethepercentchangesl" g* -ilr ug"ior l5 identicalvehicles,
as
presentedin oneof the company'sadvenisemeG:
48.3 46.9 46.8 44.6 402 ge.s 34.6 33.7 28.7
28.7 24.8 10.8 t0.4 6.9 -12.4
oLtk
1' consbuct andinterpret a90% confidenceintervalto
estimatethe meanfuel savingsrn the
populationof all suchvehicles.Follow the Inference
Toolbox.
hh,Jf{oci+i*-t" rrtz v'tt"'n?oriwus. iAq^sr*k^q& $. ,t-0{voL'c{rsef4rr'5
v\^o/alwti11-{1a4OWta{wd&\^ca-il{ '*[,,.'.{* tlrlro.,^)o*Qdp""b^d4 tiltL,
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-h y^oWtc
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v^oS,-Ltg
Jn",",
s+ Ur,S,,,*4^'-dq)Aewp6^XA r^tro-rd& prod,,^cilwd;l[wln(Ioa'fi^s.
+1., rpg-Utz*tDC} Not 3+-tal. Ar'i lot*t>l vo,yaso,,-t.
wJt }\-tq/' - dk" t: Dl.r; ,t W, b^t +tu'rta(( ^o B,-ft.rrs
,-.
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@ lO"luW{r'at-Qt-t-4'* ac+-l NIni.90
ulO.el-ultti
2. Explainwtat*90%oconfdence"meansinthissening.VLt/^'dz
t:
ZO,Uot I Uo_g
At,n"fyvrl*vL>
NV ns L orw,othod4't^^.t Ca4>furcs
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grlt*{-hx_
3. commenton themanufacturer's
claimbasedon yourwork in
ilt
euestionl.
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t,rtrv"L e-pfu.res
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Chapterl0
Quiz10.24
Quiz 10.2D
AP Statistics
Name:
A very interestingareaof researchbeingdoneat SimonFraserUniversityin Canadais in
bioremediation-theuseof living organismsto cleanup pollution.In a recentlyconductedexperiment,
researchers
usedfungi to degradehydrocarbons-theby-productsof incompletecombustionof fossil
fuels.Theseby-productscancausecancer,andtheir accumulation
in waterandsoil posesan
environmentalhazard.
In orderto be cost-effective,
a minimumof 1.00micromoles/minute/gram
of soil of a particular
hydrocarbonmust be degraded.The researchers
addedfungi andgrowthmedia(essent-ially
sugar)to
the soil andin 9 replicatesobtainedthe following degradation
ratesmicromoles/min/g:
1.0
1.93 0.83 0.91 1.08 1.09 1.10 1.88 t.36
Someselectedoutputfrom JMP statisticalsoftwareappearsbelow:
1.242222
lMean
j StdOev
0.403479
Sta
frror
Mean
0.134494
I
1- Give a point estimateof the degradationrate in the presenceof fungi. What is its estimated
standarderror? Interpret the estimated standarderror.
gillfi,t;tl
?V,Ll(
= t.%tL
fit;orunotnftw;x(1
1k,4"rl enor = 0.tgqf
J\*'s i5 lt+ taf"ilrfrtL Xh,*ta"d.d^crir,Iti et +1-Lo(,\fvi bql q
*t ilI eryb
titq af q
2. Calculateand interpret a95Yo confidenceinterval for p .
l. Lsllfi*tl+tt l^ $rubtui
L' f
r*cc dtT,4f)rcscnu
*f eZtv
f 5 uxv-ruown--- owskurt- rrq-9tl'?(. t;rrfr^r*Q
8P- !1turrv- q tuf(i^h, oy ,rLffl,g4hnuic1 -ft*fryul.tt+-,*
g,cttrsU*, owt N lultrLTs
-?lof thiw ftgh*
t^At4r- l ^4t'+ -J qssurul- t tdlgu\tUrt
4',-Jr^
r c-p*' t-t-.6-5
'
r (i-,taz,l 5;)
?fl' uuA'et*t=9. l.L4z r 2.ev("#)
4
6
3. Basedupon the confidenceinterval, doesit appearthat the fungi have increasedthe rate
of
degradation?Be sure to explain the basisof your decision.
h.^f
bt Ornn 4L ftiJ'&inutaiS lrnrcnrw,@^/S ol Aoi.(:nAls
h bL d4r'utrd , an;i- I i: i,. h^.r Ctr*Art^catty rtT*(
ilV pYt*s;ht+ft*t ,tk.l.^.i hnv n{f ittru;
fu-'
chapter
10 Tlf,t
g+ dqr^d-hn
O
euiz10.2D