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Test Bank For Probability and Statistics for Engineering and the Sciences 9th Edition By Jay L. Devore, Matt Carlton|9781305251809| All Chapters included| Complete A+ Guide $17.99   Add to cart

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Test Bank For Probability and Statistics for Engineering and the Sciences 9th Edition By Jay L. Devore, Matt Carlton|9781305251809| All Chapters included| Complete A+ Guide

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Test Bank For Probability and Statistics for Engineering and the Sciences 9th Edition By Jay L. Devore, Matt Carlton|9781305251809| All Chapters included| Complete A+ Guide

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  • November 10, 2024
  • 355
  • 2024/2025
  • Exam (elaborations)
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  • by matt carlton
  • 9781305251809
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Test Bank For Probability and Statistics for Engineering and the Sciences 9th Edition
By Jay L. Devore, Matt Carlton




Chapter f1 f– fOverview fand fDescriptive fStatistics
SHORT fANSWER

1. Give fone fpossible fsample fof fsize f4 ffrom feach fof fthe ffollowing fpopulations:
a. All fdaily fnewspapers fpublished fin fthe fUnited fStates
b. All fcompanies flisted fon fthe fNew fYork fStock fExchange
c. All fstudents fat fyour fcollege for funiversity
d. All fgrade fpoint faverages fof fstudents fat fyour fcollege for funiversity

ANS:

a. Houston fChronicle, fDes fMoines fRegister, fChicago fTribune, fWashington fPost
b. Capital fOne, fCampbell fSoup, fMerrill fLynch, fPulitzer
c. John fAnderson, fEmily fBlack, fBill f Carter, fKay fDavis
d. 2.58. f2.96, f3.51, f3.69

PTS: f1

2. A fSouthern fState fUniversity fsystem fconsists fof f23 fcampuses. fAn fadministrator fwishes fto fmake fan
finference fabout fthefaverage fdistance fbetween fthe fhometowns fof fstudents fand ftheir fcampuses. fDescribe
fand fdiscuss fseveral fdifferent fsampling fmethods fthat fmight fbe femployed. fWould fthis fbe fan fenumerative
for fan fanalytic fstudy? fExplain fyour
reasoning.

ANS:
One fcould ftake fa fsimple frandom fsample fof fstudents ffrom fall fstudents fin fthe fCalifornia fState fUniversity
fsystem fandfask feach fstudent fin fthe fsample fto freport fthe fdistance ffrom ftheir fhometown fto fcampus.
fAlternatively, fthe fsample fcould fbe fgenerated fby ftaking fa fstratified frandom fsample fby ftaking fa fsimple
frandom fsample ffrom feach fof fthe f23 fcampuses fand fagain fasking feach fstudent fin fthe fsample fto freport
fthe fdistance ffrom ftheir fhometown fto fcampus.
Certain fproblems fmight farise fwith fself freporting fof fdistances, fsuch fas frecording ferror for fpoor frecall.
fThis fstudy fisfenumerative fbecause fthere fexists fa ffinite, fidentifiable fpopulation fof fobjects ffrom fwhich fto
fsample.

PTS: f1

3. A fMichigan fcity fdivides fnaturally finto ften fdistrict fneighborhoods. fHow fmight fa freal festate fappraiser fselect
fa fsample foffsingle-family fhomes fthat fcould fbe fused fas fa fbasis ffor fdeveloping fan fequation fto fpredict
fappraised fvalue ffrom fcharacteristics fsuch fas fage, fsize, fnumber fof fbathrooms, fand fdistance fto fthe fnearest
fschool, fand fso fon? fIs fthe fstudy fenumerative for fanalytic?

ANS:

One fcould fgenerate fa fsimple frandom fsample fof fall fsingle ffamily fhomes fin fthe fcity for fa fstratified
Page f1 fof f290

,frandom fsample fbyftaking fa fsimple frandom fsample ffrom feach fof fthe f10 fdistrict fneighborhoods. fFrom
feach fof fthe fhomes fin fthe fsample fthe fnecessary fvariables fwould fbe fcollected. fThis fwould fbe fan
fenumerative fstudy fbecause fthere fexists fa ffinite, fidentifiable fpopulation fof fobjects ffrom fwhich fto
fsample.




Page f2 fof f290

,2



PTS:
f1
4. An fexperiment fwas fcarried fout fto fstudy fhow fflow frate fthrough fa fsolenoid fvalve fin fan fautomobile’s
fpollution-control fsystem fdepended fon fthree ffactors: f armature flengths, fspring fload, fand fbobbin fdepth. f Two
fdifferent flevels f(low fand fhigh)fof feach ffactor fwere fchosen, fand fa fsingle fobservation fon fflow fwas fmade ffor
feach fcombination fof flevels.

a. The fresulting fdata fset fconsisted fof fhow fmany fobservations?
b. Is fthis fan fenumerative for fanalytic fstudy? fExplain fyour freasoning.

ANS:
a. Number fobservations fequal f2 f2 f2=8
b. This fcould fbe fcalled fan fanalytic fstudy fbecause fthe fdata fwould fbe fcollected fon fan
fexisting fprocess.fThere fis fno fsampling fframe.

PTS: f1

5. The faccompanying fdata fspecific fgravity fvalues ffor fvarious fwood ftypes fused fin fconstruction f.

.41 .41 .42 .42. .42 .42 .42 .43 .44
.54 .55 .58 .62 .66 .66 .67 .68 .75
.31 .35 .36 .36 .37 .38 .40 .40 .40
.45 .46 .46 .47 .48 .48 .48 .51 .54

Construct fa fstem-and-leaf fdisplay fusing frepeated fstems fand fcomment fon fany finteresting ffeatures fof fthe fdisplay.

ANS:
One fmethod fof fdenoting fthe fpairs fof fstems fhaving fequal fvalues fis fto fdenote fthe fstem fby fL, ffor
f‘low’ fand fthe fsecondfstem fby fH, ffor f‘high’. f Using fthis fnotation, fthe fstem-and-leaf fdisplay fwould
fappear fas ffollows:

3L 1 stem: ftenths
3H 56678 leaf: f hundredths
4L 000112222234
5L 144
5H 58
6L 2
6H 6678
7L
7H 5

The fstem-and-leaf fdisplay fon fthe fprevious fpage fshows fthat f.45 fis fa fgood frepresentative fvalue ffor fthe
fdata. fIn faddition, fthe fdisplay fis fnot fsymmetric fand fappears fto fbe fpositively fskewed. fThe fspread fof
fthe fdata fis f.75 f- f.31 f= f.44,fwhich fis f.44/.45 f= f.978 for fabout f98% fof fthe ftypical fvalue fof f.45. fThis
fconstitutes fa freasonably flarge famount fof fvariation fin fthe fdata. fThe fdata fvalue f.75 fis fa fpossible
foutlier.

PTS: f1

6. Temperature ftransducers fof fa fcertain ftype fare fshipped fin fbatches fof f50. fA fsample fof f60 fbatches fwas
fselected, fand fthe fnumber fof ftransducers fin feach fbatch fnot fconforming fto fdesign fspecifications fwas
fdetermined, fresulting fin fthe ffollowingfdata:
Page f3 fof f290

, 3


0 4 2 1 3 1 1 3 4 1 2 3 2 2 8 4 5 1 3 1
2 1 2 4 0 1 3 2 0 5 3 3 1 3 2 4 7 0 2 3
5 0 2 3 2 1 0 6 4 2 1 6 0 3 3 3 6 1 2 3

a. Determine ffrequencies fand frelative ffrequencies ffor fthe fobserved fvalues fof fx f= fnumber fof
nonconformingftransducers fin fa fbatch.
b. What f proportion f of fbatches fin fthe f sample fhas fat fmost ffour f nonconforming f transducers? f What
fproportion f has ffewerfthan ffour? fWhat fproportion fhas fat fleast ffour fnonconforming funits?

ANS:

a.
Number Frequency Relative
fNonconforming fFrequency
0 7 0.117
1 12 0.200
2 13 0.217
3 14 0.233
4 6 0.100
5 3 0.050
6 3 0.050
7 1 0.017
8 1 0.017
1.001
The frelative f frequencies fdon’t fadd fup fexactly fto f1because fthey fhave fbeen frounded

b. f The f number f of f batches f with f at f most f 4 f nonconforming f items f is f 7+12+13+14+6=52, f which f is
f a f proportion f off52/60=.867. fThe fproportion fof fbatches fwith f(strictly) ffewer fthan f4 fnonconforming
fitems fis f46/60=.767.

PTS: f1

7. The fnumber fof fcontaminating fparticles fon fa fsilicon fwafer fprior fto fa fcertain frinsing fprocess fwas
fdetermined ffor feachfwafer fin fa fsample fsize f100, fresulting fin fthe ffollowing ffrequencies:

Number fof particles Frequency Number fof Frequency
f particles
0 1 8 12
1 2 9 4
2 3 10 5
3 12 11 3
4 11 12 1
5 15 13 2
6 18 14 1
7 10


a. What fproportion fof fthe fsampled fwafers fhad fat fleast ftwo fparticles? fAt fleast fsix fparticles?
b. What fproportion fof fthe fsampled fwafers fhad fbetween ffour fand fnine fparticles, finclusive? fStrictly
Page f4 fof f290

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