MAT 120 FINAL EXAM PRACTICE TEST
QUESTIONS AND 100% CORRECT
ANSWERS 2024
TheGmeanGvalueGofGlandGandGbuildingsGperGacreGfromGaGsampleGofGfarmsGisG$1300,
withGaGstandardGdeviationGofG
$100.GTheGdataGsetGhasGaGbell-shapedGdistribution.GAssumeGtheGnumberGofGfarmsGinGtheGsampleGisG75.
(a)GUseGtheGempiricalGruleGtoGestimateGtheGnumberGofGfarmsGwhoseGlandGandGbuildingGvaluesGperGacreGar
eGbetweenG
$1200GandG$1400.
___Gfarms.
(b)GIfG26GadditionalGfarmsGwere
Gsampled,GaboutGhowGmanyGofGtheseGadditionalGfarmsGwouldGyouGexpectGtoGhaveGlandGandGbuildingGvalu
esGbetweenG
$1200GperGacreGandG$1400GperGacre?
___GfarmsGoutGofG336.G-GANSWERGGSectionG2.4
ANSWER:
(a)G51.
(b)G18.
Work:
(a)
nG=G75
meanG=G1300.
standardGdeviationsG=G100
,betweenG1200GandG1300GisG100.GOneGstandardGdeviation.
BetweenG1400GandG1300GisG100.GOneGstandardGdeviation.G
68%GofGdataGfallsGwithinG1GstandardGdeviation.
75G*G0.68G=G51.
(b)
26G*G0.68G=G17.68.GroundGtoG18.
TheGmonthlyGutilityGbillsGinGaGcityGareGnormally
Gdistributed,GwithGaGmeanGofG$100GandGaGstandardGdeviationGofG$12.
FindGtheGprobabilityGthatGaGrandomlyGselectedGutilityGbillGisG(a)GlessGthanG$67,G(b)GbetweenG$83GandG$100
,GandG(c)GmoreGthanG$130.
(a)GTheGprobabilityGthatGaGrandomlyGselectedGutilityGbillGisGlessGthanG$67GisG___?
(b)GTheGprobabilityGthatGaGrandomlyGselectedGutilityGbillGisGbetweenG$83GandG$100GisG___?
(c)GTheGprobabilityGthatGaGrandomlyGselectedGutilityGbillGisGmoreGthanG$130GisG__?G-GANSWERGGSectionG5.2
ANSWER:
(a)G0.0030.
(b)G0.4222.
(c)G0.0062
, Work:
(a)G(67G-G100)/12G=G-2.75....G-2.75GONGCHARTG2.GisG0.0030.
(b)
(83-100)/12G=G-1.42....GUSEGCHARTG2.
-1.42GonGchartGisG0.0778.
(100-100)/13G=G0....G0GonGchartGisG0.5000.
0.5000G-G0.0778G=G0.4222
(c)
(130-100)/12G=G2.5....G2.5GonGchartGisG0.9938.
1G-G0.9938G=G0.0062.
TheGdataGgivenGbelowGshowGtheGnumberGofGovertimeGhoursGworkedGinGoneGweekGperGemployee.GUseGthe
GdataGtoGcompleteGpartsG(a)GandG(b).
OvertimeGhoursG|GEmployees
0G|G8
1G|G12
2G|G30
3G|G53
4G|G42
5G|G26
6G|G19
(a)GConstructGtheGprobabilityGdistributionGbyGcompletingGtheGtableGbelow.
xG|GP(x)
0G|
QUESTIONS AND 100% CORRECT
ANSWERS 2024
TheGmeanGvalueGofGlandGandGbuildingsGperGacreGfromGaGsampleGofGfarmsGisG$1300,
withGaGstandardGdeviationGofG
$100.GTheGdataGsetGhasGaGbell-shapedGdistribution.GAssumeGtheGnumberGofGfarmsGinGtheGsampleGisG75.
(a)GUseGtheGempiricalGruleGtoGestimateGtheGnumberGofGfarmsGwhoseGlandGandGbuildingGvaluesGperGacreGar
eGbetweenG
$1200GandG$1400.
___Gfarms.
(b)GIfG26GadditionalGfarmsGwere
Gsampled,GaboutGhowGmanyGofGtheseGadditionalGfarmsGwouldGyouGexpectGtoGhaveGlandGandGbuildingGvalu
esGbetweenG
$1200GperGacreGandG$1400GperGacre?
___GfarmsGoutGofG336.G-GANSWERGGSectionG2.4
ANSWER:
(a)G51.
(b)G18.
Work:
(a)
nG=G75
meanG=G1300.
standardGdeviationsG=G100
,betweenG1200GandG1300GisG100.GOneGstandardGdeviation.
BetweenG1400GandG1300GisG100.GOneGstandardGdeviation.G
68%GofGdataGfallsGwithinG1GstandardGdeviation.
75G*G0.68G=G51.
(b)
26G*G0.68G=G17.68.GroundGtoG18.
TheGmonthlyGutilityGbillsGinGaGcityGareGnormally
Gdistributed,GwithGaGmeanGofG$100GandGaGstandardGdeviationGofG$12.
FindGtheGprobabilityGthatGaGrandomlyGselectedGutilityGbillGisG(a)GlessGthanG$67,G(b)GbetweenG$83GandG$100
,GandG(c)GmoreGthanG$130.
(a)GTheGprobabilityGthatGaGrandomlyGselectedGutilityGbillGisGlessGthanG$67GisG___?
(b)GTheGprobabilityGthatGaGrandomlyGselectedGutilityGbillGisGbetweenG$83GandG$100GisG___?
(c)GTheGprobabilityGthatGaGrandomlyGselectedGutilityGbillGisGmoreGthanG$130GisG__?G-GANSWERGGSectionG5.2
ANSWER:
(a)G0.0030.
(b)G0.4222.
(c)G0.0062
, Work:
(a)G(67G-G100)/12G=G-2.75....G-2.75GONGCHARTG2.GisG0.0030.
(b)
(83-100)/12G=G-1.42....GUSEGCHARTG2.
-1.42GonGchartGisG0.0778.
(100-100)/13G=G0....G0GonGchartGisG0.5000.
0.5000G-G0.0778G=G0.4222
(c)
(130-100)/12G=G2.5....G2.5GonGchartGisG0.9938.
1G-G0.9938G=G0.0062.
TheGdataGgivenGbelowGshowGtheGnumberGofGovertimeGhoursGworkedGinGoneGweekGperGemployee.GUseGthe
GdataGtoGcompleteGpartsG(a)GandG(b).
OvertimeGhoursG|GEmployees
0G|G8
1G|G12
2G|G30
3G|G53
4G|G42
5G|G26
6G|G19
(a)GConstructGtheGprobabilityGdistributionGbyGcompletingGtheGtableGbelow.
xG|GP(x)
0G|
