Solutions Manualm
to accompany
m
STATISTICS FOR ENGINEERS AND
m m m m
SCIENTISTS
by
William Navidim
, Table of Contents
m m
Chapter 1 ....................................................................................................................1
m
Chapter 2 ..................................................................................................................13
m
Chapter 3 ..................................................................................................................53
m
Chapter 4 ..................................................................................................................72
m
Chapter 5 ................................................................................................................ 115
m
Chapter 6 ................................................................................................................ 133
m
Chapter 7 ................................................................................................................ 168
m
Chapter 8 ................................................................................................................ 190
m
Chapter 9 ................................................................................................................ 209
m
Chapter 10 .............................................................................................................. 229
m
,SECTIONm1.1 1
Chapter 1 m
Section 1.1 m
1. (a)mThempopulationmconsistsmofmallmthemboltsminmthemshipment.mItmismtangible.
(b) Thempopulationmconsistsmofmallmmeasurementsmthatmcouldmbemmademonmthatmresistormwithmthatmohm
meter.mItmismconceptual.
(c) Thempopulationmconsistsmofmallmresidentsmofmthemtown.mItmismtangible.
(d) Thempopulationmconsistsmofmallmweldsmthatmcouldmbemmadembymthatmprocess.mItmismconceptual.
(e) Thempopulationmconsistsmofmallmpartsmmanufacturedmthatmday.mItmismtangible.
3.m (a)mFalse
(b)mTrue
5. (a)mNo.m Whatmismimportantmismthempopulationmproportionmofmdefectives;mthemsamplemproportionmismonlymanmappr
ox-
mimation.m Thempopulationmproportionmformthemnewmprocessmmayminmfactmbemgreatermormlessmthanmthatmofmthem
oldmprocess.
(b) No.m Thempopulationmproportionmformthemnewmprocessmmaymbem0.10mormmore,mevenmthoughmthemsamplempropo
rtionmwasmonlym0.09.
(c) Findingm2mdefectivembottlesminmthemsample.
7. Amgoodmknowledgemofmthemprocessmthatmgeneratedmthemdata.
, 2 CHAPTERm4
Section 1.2 m
1. False
3. No.mInmthemsamplem1,m2,m4mthemmeanmism7/3,mwhichmdoesmnotmappearmatmall.
5. Themsamplemsizemcanmbemanymoddmnumber.
7. Yes.mIfmallmthemnumbersminmthemlistmaremthemsame,mthemstandardmdeviationmwillmequalm0.
9. Themmeanmandmstandardmdeviationmbothmincreasembym5%.
11.m m Themtotalmnumbermofmpointsmscoredminmthemclassmofm30mstudentsmism30m 72m m 2160.m Themtotalmnumbermofmpo
intsmscoredminmthemclassmofm40mstudentsmism40m m 79m m 3160.mThemtotalmnumbermofmpointsmscoredminmbothmclasse
smcombinedmism2160m m 3160m m 5320.m Theremarem30m m 40m m 70mstudentsm inmbothmclassesmcombined.m Theref
oremthemmeanmscore
formthemtwomclassesmcombinedmism5320m 70m m 76.
13.m(a)mAllmwouldmbemmultipliedmbym2.54.
(b)mNotmexactlymthemsame,mbecausemthemmeasurementsmwouldmbemamlittlemdifferentmthemsecondmtime.
15.m (a)mThemsamplemsizemismnm m 16.mThemtertilesmhavemcutpointsm 1m 3m 17m m 5m67mandm 2m 3m 17m m 11m33.mThemf
irstmtertilemismthereforemthemaveragemofmthemsamplemvaluesminmpositionsm5mandm6,mwhichmism 44m m 46m 2m m 45.m
Themsecondmtertilemismthemaveragemofmthemsamplemvaluesminmpositionsm11mandm12,mwhichmism 76m m 79m 2m m 7
7m5.
(b)mThemsamplemsizemismnm m 16.m Themquintilesmhavemcutpointsm im 5m 17m formim m 1m 2m 3m 4.m Themquintilesmaremth
ereforemthemaveragesmofmthemsamplemvaluesminmpositionsm3mandm4,minmpositionsm6mandm7,minmpositionsm10mand
m11,mandminmpositionsm 13mandm14.m Themquintilesm aremthereforem 23m m 41m m 2m m 32,m 46m m 49m m 2m m 47m 5,m 7
4m m 76m m 2m m 75,mand
82m m 89m m 2m m 85m 5.
to accompany
m
STATISTICS FOR ENGINEERS AND
m m m m
SCIENTISTS
by
William Navidim
, Table of Contents
m m
Chapter 1 ....................................................................................................................1
m
Chapter 2 ..................................................................................................................13
m
Chapter 3 ..................................................................................................................53
m
Chapter 4 ..................................................................................................................72
m
Chapter 5 ................................................................................................................ 115
m
Chapter 6 ................................................................................................................ 133
m
Chapter 7 ................................................................................................................ 168
m
Chapter 8 ................................................................................................................ 190
m
Chapter 9 ................................................................................................................ 209
m
Chapter 10 .............................................................................................................. 229
m
,SECTIONm1.1 1
Chapter 1 m
Section 1.1 m
1. (a)mThempopulationmconsistsmofmallmthemboltsminmthemshipment.mItmismtangible.
(b) Thempopulationmconsistsmofmallmmeasurementsmthatmcouldmbemmademonmthatmresistormwithmthatmohm
meter.mItmismconceptual.
(c) Thempopulationmconsistsmofmallmresidentsmofmthemtown.mItmismtangible.
(d) Thempopulationmconsistsmofmallmweldsmthatmcouldmbemmadembymthatmprocess.mItmismconceptual.
(e) Thempopulationmconsistsmofmallmpartsmmanufacturedmthatmday.mItmismtangible.
3.m (a)mFalse
(b)mTrue
5. (a)mNo.m Whatmismimportantmismthempopulationmproportionmofmdefectives;mthemsamplemproportionmismonlymanmappr
ox-
mimation.m Thempopulationmproportionmformthemnewmprocessmmayminmfactmbemgreatermormlessmthanmthatmofmthem
oldmprocess.
(b) No.m Thempopulationmproportionmformthemnewmprocessmmaymbem0.10mormmore,mevenmthoughmthemsamplempropo
rtionmwasmonlym0.09.
(c) Findingm2mdefectivembottlesminmthemsample.
7. Amgoodmknowledgemofmthemprocessmthatmgeneratedmthemdata.
, 2 CHAPTERm4
Section 1.2 m
1. False
3. No.mInmthemsamplem1,m2,m4mthemmeanmism7/3,mwhichmdoesmnotmappearmatmall.
5. Themsamplemsizemcanmbemanymoddmnumber.
7. Yes.mIfmallmthemnumbersminmthemlistmaremthemsame,mthemstandardmdeviationmwillmequalm0.
9. Themmeanmandmstandardmdeviationmbothmincreasembym5%.
11.m m Themtotalmnumbermofmpointsmscoredminmthemclassmofm30mstudentsmism30m 72m m 2160.m Themtotalmnumbermofmpo
intsmscoredminmthemclassmofm40mstudentsmism40m m 79m m 3160.mThemtotalmnumbermofmpointsmscoredminmbothmclasse
smcombinedmism2160m m 3160m m 5320.m Theremarem30m m 40m m 70mstudentsm inmbothmclassesmcombined.m Theref
oremthemmeanmscore
formthemtwomclassesmcombinedmism5320m 70m m 76.
13.m(a)mAllmwouldmbemmultipliedmbym2.54.
(b)mNotmexactlymthemsame,mbecausemthemmeasurementsmwouldmbemamlittlemdifferentmthemsecondmtime.
15.m (a)mThemsamplemsizemismnm m 16.mThemtertilesmhavemcutpointsm 1m 3m 17m m 5m67mandm 2m 3m 17m m 11m33.mThemf
irstmtertilemismthereforemthemaveragemofmthemsamplemvaluesminmpositionsm5mandm6,mwhichmism 44m m 46m 2m m 45.m
Themsecondmtertilemismthemaveragemofmthemsamplemvaluesminmpositionsm11mandm12,mwhichmism 76m m 79m 2m m 7
7m5.
(b)mThemsamplemsizemismnm m 16.m Themquintilesmhavemcutpointsm im 5m 17m formim m 1m 2m 3m 4.m Themquintilesmaremth
ereforemthemaveragesmofmthemsamplemvaluesminmpositionsm3mandm4,minmpositionsm6mandm7,minmpositionsm10mand
m11,mandminmpositionsm 13mandm14.m Themquintilesm aremthereforem 23m m 41m m 2m m 32,m 46m m 49m m 2m m 47m 5,m 7
4m m 76m m 2m m 75,mand
82m m 89m m 2m m 85m 5.
