Solutions Manualp
to accompany
p
STATISTICS FOR ENGINEERS AND
p p p p
SCIENTISTS
by
William Navidip
, Table of Contents
p p
Chapter 1 ....................................................................................................................1
p
Chapter 2 ..................................................................................................................13
p
Chapter 3 ..................................................................................................................53
p
Chapter 4 ..................................................................................................................72
p
Chapter 5 ................................................................................................................ 115
p
Chapter 6 ................................................................................................................ 133
p
Chapter 7 ................................................................................................................ 168
p
Chapter 8 ................................................................................................................ 190
p
Chapter 9 ................................................................................................................ 209
p
Chapter 10 .............................................................................................................. 229
p
,SECTIONp1.1 1
Chapter 1 p
Section 1.1 p
1. (a)pTheppopulationpconsistspofpallpthepboltspinpthepshipment.pItpisptangible.
(b) Theppopulationpconsistspofpallpmeasurementspthatpcouldpbepmadeponpthatpresistorpwithpthatpohmmeter.
p Itpispconceptual.
(c) Theppopulationpconsistspofpallpresidentspofptheptown.pItpisptangible.
(d) Theppopulationpconsistspofpallpweldspthatpcouldpbepmadepbypthatpprocess.pItpispconceptual.
(e) Theppopulationpconsistspofpallppartspmanufacturedpthatpday.pItpisptangible.
3.p (a)pFalse
(b)pTrue
5. (a)pNo.p Whatpispimportantpisptheppopulationpproportionpofpdefectives;pthepsamplepproportionpisponlypanpapprox-
pimation.p Theppopulationpproportionpforpthepnewpprocesspmaypinpfactpbepgreaterporplesspthanpthatpofpthepoldppro
cess.
(b) No.p Theppopulationpproportionpforpthepnewpprocesspmaypbep0.10porpmore,pevenpthoughpthepsamplepproportionp
wasponlyp0.09.
(c) Findingp2pdefectivepbottlespinpthepsample.
7. Apgoodpknowledgepofpthepprocesspthatpgeneratedpthepdata.
, 2 CHAPTERp4
Section 1.2 p
1. False
3. No.p Inpthepsamplep1,p2,p4pthepmeanpisp7/3,pwhichpdoespnotpappearpatpall.
5. Thepsamplepsizepcanpbepanypoddpnumber.
7. Yes.pIfpallpthepnumberspinptheplistparepthepsame,pthepstandardpdeviationpwillpequalp0.
9. Thepmeanpandpstandardpdeviationpbothpincreasepbyp5%.
11.p p Theptotalpnumberpofppointspscoredpinpthepclasspofp30pstudentspisp30p 72p p 2160.p Theptotalpnumberpofppointspscor
edpinpthepclasspofp40pstudentspisp40p p 79p p 3160.pTheptotalpnumberpofppointspscoredpinpbothpclassespcombinedpisp2
160p p 3160p p 5320.p Thereparep30p p 40p p 70pstudentsp inpbothpclassespcombined.p Thereforepthepmeanpscore
forptheptwopclassespcombinedpisp5320p 70p p 76.
13.p(a)pAllpwouldpbepmultipliedpbyp2.54.
(b)pNotpexactlypthepsame,pbecausepthepmeasurementspwouldpbepaplittlepdifferentpthepsecondptime.
15.p(a)pThepsamplepsizepispnp p 16.pTheptertilesphavepcutpointsp 1p 3p 17p p 5p67pandp 2p 3p 17p p 11p33.pThepfirstptertilep
ispthereforepthepaveragepofpthepsamplepvaluespinppositionsp5pandp6,pwhichpisp 44p p 46p 2p p 45.pThepsecondptertilep
ispthepaveragepofpthepsamplepvaluespinppositionsp11pandp12,pwhichpisp 76p p 79p 2p p 77p5.
(b)pThepsamplepsizepispnp p 16.p Thepquintilesphavepcutpointsp ip 5p 17p forpip p 1p 2p 3p 4.p Thepquintilesparepthereforep
thepaveragespofpthepsamplepvaluespinppositionsp3pandp4,pinppositionsp6pandp7,pinppositionsp10pandp11,pandpinppos
itionsp13pandp14.p Thepquintilesparepthereforep 23p p 41p p 2p p 32,p 46p p 49p p 2p p 47p5,p 74p p 76p p 2p p 75,pand
82p p 89p p 2p p 85p 5.
to accompany
p
STATISTICS FOR ENGINEERS AND
p p p p
SCIENTISTS
by
William Navidip
, Table of Contents
p p
Chapter 1 ....................................................................................................................1
p
Chapter 2 ..................................................................................................................13
p
Chapter 3 ..................................................................................................................53
p
Chapter 4 ..................................................................................................................72
p
Chapter 5 ................................................................................................................ 115
p
Chapter 6 ................................................................................................................ 133
p
Chapter 7 ................................................................................................................ 168
p
Chapter 8 ................................................................................................................ 190
p
Chapter 9 ................................................................................................................ 209
p
Chapter 10 .............................................................................................................. 229
p
,SECTIONp1.1 1
Chapter 1 p
Section 1.1 p
1. (a)pTheppopulationpconsistspofpallpthepboltspinpthepshipment.pItpisptangible.
(b) Theppopulationpconsistspofpallpmeasurementspthatpcouldpbepmadeponpthatpresistorpwithpthatpohmmeter.
p Itpispconceptual.
(c) Theppopulationpconsistspofpallpresidentspofptheptown.pItpisptangible.
(d) Theppopulationpconsistspofpallpweldspthatpcouldpbepmadepbypthatpprocess.pItpispconceptual.
(e) Theppopulationpconsistspofpallppartspmanufacturedpthatpday.pItpisptangible.
3.p (a)pFalse
(b)pTrue
5. (a)pNo.p Whatpispimportantpisptheppopulationpproportionpofpdefectives;pthepsamplepproportionpisponlypanpapprox-
pimation.p Theppopulationpproportionpforpthepnewpprocesspmaypinpfactpbepgreaterporplesspthanpthatpofpthepoldppro
cess.
(b) No.p Theppopulationpproportionpforpthepnewpprocesspmaypbep0.10porpmore,pevenpthoughpthepsamplepproportionp
wasponlyp0.09.
(c) Findingp2pdefectivepbottlespinpthepsample.
7. Apgoodpknowledgepofpthepprocesspthatpgeneratedpthepdata.
, 2 CHAPTERp4
Section 1.2 p
1. False
3. No.p Inpthepsamplep1,p2,p4pthepmeanpisp7/3,pwhichpdoespnotpappearpatpall.
5. Thepsamplepsizepcanpbepanypoddpnumber.
7. Yes.pIfpallpthepnumberspinptheplistparepthepsame,pthepstandardpdeviationpwillpequalp0.
9. Thepmeanpandpstandardpdeviationpbothpincreasepbyp5%.
11.p p Theptotalpnumberpofppointspscoredpinpthepclasspofp30pstudentspisp30p 72p p 2160.p Theptotalpnumberpofppointspscor
edpinpthepclasspofp40pstudentspisp40p p 79p p 3160.pTheptotalpnumberpofppointspscoredpinpbothpclassespcombinedpisp2
160p p 3160p p 5320.p Thereparep30p p 40p p 70pstudentsp inpbothpclassespcombined.p Thereforepthepmeanpscore
forptheptwopclassespcombinedpisp5320p 70p p 76.
13.p(a)pAllpwouldpbepmultipliedpbyp2.54.
(b)pNotpexactlypthepsame,pbecausepthepmeasurementspwouldpbepaplittlepdifferentpthepsecondptime.
15.p(a)pThepsamplepsizepispnp p 16.pTheptertilesphavepcutpointsp 1p 3p 17p p 5p67pandp 2p 3p 17p p 11p33.pThepfirstptertilep
ispthereforepthepaveragepofpthepsamplepvaluespinppositionsp5pandp6,pwhichpisp 44p p 46p 2p p 45.pThepsecondptertilep
ispthepaveragepofpthepsamplepvaluespinppositionsp11pandp12,pwhichpisp 76p p 79p 2p p 77p5.
(b)pThepsamplepsizepispnp p 16.p Thepquintilesphavepcutpointsp ip 5p 17p forpip p 1p 2p 3p 4.p Thepquintilesparepthereforep
thepaveragespofpthepsamplepvaluespinppositionsp3pandp4,pinppositionsp6pandp7,pinppositionsp10pandp11,pandpinppos
itionsp13pandp14.p Thepquintilesparepthereforep 23p p 41p p 2p p 32,p 46p p 49p p 2p p 47p5,p 74p p 76p p 2p p 75,pand
82p p 89p p 2p p 85p 5.
