STATS FINAL EXAM PRACTICE
PROBLEMS QUESTIONS WITH
COMPLETE ANSWERS
A rrRegression rrAnalysis rrwas rrconducted rrof rrBusiness rrStudents rrwho rrwanted rrto rrget
rrtheir rrMBA. rrThe rrRegresion rrAnalysis rrshows rrthe rrVerbal rrGMAT rrEntrance rrExam
rrscore rrfor rreach rrof rr10 rrMBA rrstudents rralong rrwith rrtheir rrgrade rrpoint rraverage
rr(GPA) rrin rrundergraduate rrschool.
Output rrfrom rra rrregression rranalysis rrfollows:
A. rrThe rrslope rrof rrthe rrline rrequals rr
B. rrThe rry-intercept rris rr
C. rrPredict rrthe rrGMAT rrscore rrwith rra rrstudent rrwho rrhas rra rrGPA rrof rr3.6. rr
D. rrThe rrvalue rrof rrthe rrcorrelation rrcoefficient rris rr- rrAnswer rra. rr79.33
b. rr27.31
c. rr312
d. rr0.94
The rrcorrelation rrbetween rrtwo rrvariables rrx rrand rry rris rrr rr= rr0.4. rrIf rrwe rrused rra
rrregression rrline rrto rrpredict rry rrusing rrx, rrwhat rrpercent rrof rrthe rrvariation rrin rry rrwould
rrbe rrexplained rrby rrthe rrlinear rrregression rrof rry rron rrx? rr- rrAnswer rr16%
If rrSSR= rr16 rrand rrSSE rr= rr4,
a. rrSST rr=
b. rrthe rrcoefficient rrof rrdetermination rris rr- rrAnswer rra. rr20
b. rr0.8
Five rrparts rrare rrselected rrfor rrinspection rrfrom rra rrlarge rrshipment rrof rrparts. rrThe
rrparts rrare rrlabeled rr01 rrthrough rr50. rrUse rrthe rrrandom rrdigits rrbelow rrto rrselect rrthe
rrfive rrunique rrparts rrfor rrinspection.
66925 rr39550 rr78458 rr11206 rr19876 rr87151 rr31260 rr52421 rr- rrAnswer rr50, rr45, rr12,
rr06, rr19
A rrsurvey rrwas rrconducted rrof rrSTAT rr206 rrstudents rrand rrthey rrwere rrasked rrtheir
rrheight rrin rrinches.
The rrmean rrof rrthe rrsample rrwas rr69.52 rrinches. rrThe rrstandard rrdeviation rrof rrthe
rrsample rrwas rr4.1 rrinches.
,a. rrWhat rris rryour rrheight rrin rrinches? rr(Round rrto rra rrwhole rrnumber. rrYour rranswer
rrmust rrbe rrbetween rr60 rrand rr80)
b. rrCalculate rrthe rrZ-score rrfor rryour rrheight. rr(Round rrto rr2 rrdecimal rrplaces)
c. rrIs rryour rrheight rrconsidered rran rrextreme rroutlier? rr(Yes rror rrNo) rr- rrAnswer rra. rr70
b. rr1
c. rrno
The rrdata rrtable rrbelow rrrepresents rra rrsample rrof rrdata rrfrom rrthe rrLakeLevels
rrdatabase rrfor rrLake rrMurray rrWater rrLevels rrin rr2023. rrData rris rrgiven rrin rrFeet rrMSL.
rrThe rrfull rrpool rrlevel rris rr360.00 rrfeet.
a. rrThe rrsample rrsize, rrn, rris
b. rrThe rrSum rris
c. rrThe rrMean rris
d. rrThe rrVariance rris rr
e. rrThe rrStandard rrDeviation
f. rrThe rrMedian rris rr
g. rrThe rrRange rris
h. rrQ1 rris rr
i. rrQ3 rris rr
j. rrThe rrIQR rris rr
k. rrUsing rrthe rrIQR rrmethod, rrare rrthere rrany rroutliers rrin rrthe rrdata?
l. rrIs rrthe rrdata rrskewed? rr(Yes rror rrNo)
Calculate rrthe rrZ-score rrfor rrthe rrvalue rrm. rr356.28 rr- rrAnswer rra. rr10
b. rr3523.59
c. rr352.33
d. rr4.85
e. rr2.204
f. rr351.95
g. rr6.18
h. rr350.26
i. rr354.2
j. rr3.94
k. rrno
l. rryes
m. rr1.79
Here rrare rrboxplots rrof rrthe rrnumber rrof rrcalories rrin rr20 rrbrands rrof rrbeef rrhot rrdogs,
rr17 rrbrands rrof rrmeat rrhot rrdogs, rrand rr17 rrbrands rrof rrpoultry rrhot rrdogs. rr- rrAnswer
rrbeef
A rrresearcher rrfor rra rrfast rrfood rrrestaurant rris rrtiming rrhow rrlong rrit rrtakes rrfor rran
rrorder rrto rrbe rrdelivered rrto rra rrcustomer rrat rra rrwalk rrup rrcounter. rrThe rrfollowing
rrstem rrand rrleaf rrplot rrshows rrthe rrtime rrin rrminutes rrthat rrit rrtakes rrto rrdeliver rrthe
rrorder. rrThe rrminimum rrtime rris rr2.1 rrminutes. rr- rrAnswer rr8.5 rrminutes
, Many rrwholesale rrstores rroffer rrfree rrsamples rrfor rrcustomers rrto rrtaste rrthings rrin
rrorder rrto rrincrease rrsales. rrLet's rrassume rrthat rrCostco rrprovides rrfree rrsamples rrof
rrcheese rrfor rreveryone rrwho rrwalks rrby rrthe rrcheese rraisle. rrHistorically, rr35% rrof rrthe
rrcustomers rrwho rrsampled rra rrproduct rrpurchased rrit.
A) rrWhat rris rrthe rrprobability rrexactly rr10 rrof rrthe rrnext rr25 rrcustomers rrwho rrtaste rrthe
rrcheese rrwill rrpurchase? rr
B) rrWhat rris rrthe rrexpected rrnumber rrof rrthese rr25 rrcustomers rrto rrpurchase? rr
C) rrWhat rris rrthe rrstandard rrdeviation rrof rrthe rrnumber rrof rrpurchases? rr- rrAnswer rra.
rr0.141
b. rr8.75
c. rr2.38
A rrpolitical rrcommittee rrconsists rrof rreight rr(8) rrDemocrats rrand rrfour rr(4) rrRepublicans.
rrA rrsubcommittee rrof rrsix rr(6) rrunique rrpeople rrneeds rrto rrbe rrformed.
A) rrDetermine rrthe rrprobability rrthat rrone rrRepublican rrwill rrbe rron rrthe rrsubcommittee
rrif rrit rris rrrandomly rrselected. rr
B) rrDetermine rrthe rrprobability rrthat rrat rrleast rrone rrRepublican rrwill rrbe rron rrthe
rrsubcommittee rrif rrit rris rrrandomly rrselected. rr
C) rrCalculate rrthe rrmean rrfor rrthe rrdistribution rrwhich rrdefines rrselecting rra rrRepublican
rras rra rrsuccess. rr
D) rrCalculate rrthe rrstandard rrdeviation rrfor rrthe rrdistribution rrwhich rrdefines rrselecting
rra rrRepublican rras rra rrsuccess. rr- rrAnswer rra. rr0.2424
b. rr0.969
c. rr2
d. rr0.85
A rrset rrof rrfinal rrexamination rrgrades rrin rra rrstatistics rrcourse rris rrnormally rrdistributed,
rrwith rra rrmean rrof rr73 rrand rra rrstandard rrdeviation rrof rr8. rrThe rrprobability rris rr5% rrthat
rra rrstudent rrtaking rrthe rrtest rrscores rrhigher rrthan rrwhat rrgrade. rr(Use rrZ-Table) rr-
rrAnswer rr86
I rrlove rrlots rrof rrpizza rrcombinations. rrI rrcould rreat rrit rrevery rrday. rrHow rrmany rrdifferent
rrpizzas rrcan rrI rrcreate rrfrom rrthe rrfollowing rrchoices?
1 rrCrust: rrThree rr(3) rrcrusts, rrchoose rrone rr(1).
1 rrSauce: rrThree rr(3) rrsauces, rrchoose rrone rr(1).
4 rrMeats: rrTen rr(10) rrmeats, rrchoose rrfour rr(4).
2 rrVegetables: rrTwelve rr(12) rrvegetables, rrchoose rrtwo rr(2). rr- rrAnswer rr124,740
Given rrthe rrsummary rrstatistics rrin rrthe rrtable rrbelow, rrCalculate rrthe rrStandard rrScore
rrfor rrx rr= rr50.
Z rr= rr____________ rr- rrAnswer rr1.8
PROBLEMS QUESTIONS WITH
COMPLETE ANSWERS
A rrRegression rrAnalysis rrwas rrconducted rrof rrBusiness rrStudents rrwho rrwanted rrto rrget
rrtheir rrMBA. rrThe rrRegresion rrAnalysis rrshows rrthe rrVerbal rrGMAT rrEntrance rrExam
rrscore rrfor rreach rrof rr10 rrMBA rrstudents rralong rrwith rrtheir rrgrade rrpoint rraverage
rr(GPA) rrin rrundergraduate rrschool.
Output rrfrom rra rrregression rranalysis rrfollows:
A. rrThe rrslope rrof rrthe rrline rrequals rr
B. rrThe rry-intercept rris rr
C. rrPredict rrthe rrGMAT rrscore rrwith rra rrstudent rrwho rrhas rra rrGPA rrof rr3.6. rr
D. rrThe rrvalue rrof rrthe rrcorrelation rrcoefficient rris rr- rrAnswer rra. rr79.33
b. rr27.31
c. rr312
d. rr0.94
The rrcorrelation rrbetween rrtwo rrvariables rrx rrand rry rris rrr rr= rr0.4. rrIf rrwe rrused rra
rrregression rrline rrto rrpredict rry rrusing rrx, rrwhat rrpercent rrof rrthe rrvariation rrin rry rrwould
rrbe rrexplained rrby rrthe rrlinear rrregression rrof rry rron rrx? rr- rrAnswer rr16%
If rrSSR= rr16 rrand rrSSE rr= rr4,
a. rrSST rr=
b. rrthe rrcoefficient rrof rrdetermination rris rr- rrAnswer rra. rr20
b. rr0.8
Five rrparts rrare rrselected rrfor rrinspection rrfrom rra rrlarge rrshipment rrof rrparts. rrThe
rrparts rrare rrlabeled rr01 rrthrough rr50. rrUse rrthe rrrandom rrdigits rrbelow rrto rrselect rrthe
rrfive rrunique rrparts rrfor rrinspection.
66925 rr39550 rr78458 rr11206 rr19876 rr87151 rr31260 rr52421 rr- rrAnswer rr50, rr45, rr12,
rr06, rr19
A rrsurvey rrwas rrconducted rrof rrSTAT rr206 rrstudents rrand rrthey rrwere rrasked rrtheir
rrheight rrin rrinches.
The rrmean rrof rrthe rrsample rrwas rr69.52 rrinches. rrThe rrstandard rrdeviation rrof rrthe
rrsample rrwas rr4.1 rrinches.
,a. rrWhat rris rryour rrheight rrin rrinches? rr(Round rrto rra rrwhole rrnumber. rrYour rranswer
rrmust rrbe rrbetween rr60 rrand rr80)
b. rrCalculate rrthe rrZ-score rrfor rryour rrheight. rr(Round rrto rr2 rrdecimal rrplaces)
c. rrIs rryour rrheight rrconsidered rran rrextreme rroutlier? rr(Yes rror rrNo) rr- rrAnswer rra. rr70
b. rr1
c. rrno
The rrdata rrtable rrbelow rrrepresents rra rrsample rrof rrdata rrfrom rrthe rrLakeLevels
rrdatabase rrfor rrLake rrMurray rrWater rrLevels rrin rr2023. rrData rris rrgiven rrin rrFeet rrMSL.
rrThe rrfull rrpool rrlevel rris rr360.00 rrfeet.
a. rrThe rrsample rrsize, rrn, rris
b. rrThe rrSum rris
c. rrThe rrMean rris
d. rrThe rrVariance rris rr
e. rrThe rrStandard rrDeviation
f. rrThe rrMedian rris rr
g. rrThe rrRange rris
h. rrQ1 rris rr
i. rrQ3 rris rr
j. rrThe rrIQR rris rr
k. rrUsing rrthe rrIQR rrmethod, rrare rrthere rrany rroutliers rrin rrthe rrdata?
l. rrIs rrthe rrdata rrskewed? rr(Yes rror rrNo)
Calculate rrthe rrZ-score rrfor rrthe rrvalue rrm. rr356.28 rr- rrAnswer rra. rr10
b. rr3523.59
c. rr352.33
d. rr4.85
e. rr2.204
f. rr351.95
g. rr6.18
h. rr350.26
i. rr354.2
j. rr3.94
k. rrno
l. rryes
m. rr1.79
Here rrare rrboxplots rrof rrthe rrnumber rrof rrcalories rrin rr20 rrbrands rrof rrbeef rrhot rrdogs,
rr17 rrbrands rrof rrmeat rrhot rrdogs, rrand rr17 rrbrands rrof rrpoultry rrhot rrdogs. rr- rrAnswer
rrbeef
A rrresearcher rrfor rra rrfast rrfood rrrestaurant rris rrtiming rrhow rrlong rrit rrtakes rrfor rran
rrorder rrto rrbe rrdelivered rrto rra rrcustomer rrat rra rrwalk rrup rrcounter. rrThe rrfollowing
rrstem rrand rrleaf rrplot rrshows rrthe rrtime rrin rrminutes rrthat rrit rrtakes rrto rrdeliver rrthe
rrorder. rrThe rrminimum rrtime rris rr2.1 rrminutes. rr- rrAnswer rr8.5 rrminutes
, Many rrwholesale rrstores rroffer rrfree rrsamples rrfor rrcustomers rrto rrtaste rrthings rrin
rrorder rrto rrincrease rrsales. rrLet's rrassume rrthat rrCostco rrprovides rrfree rrsamples rrof
rrcheese rrfor rreveryone rrwho rrwalks rrby rrthe rrcheese rraisle. rrHistorically, rr35% rrof rrthe
rrcustomers rrwho rrsampled rra rrproduct rrpurchased rrit.
A) rrWhat rris rrthe rrprobability rrexactly rr10 rrof rrthe rrnext rr25 rrcustomers rrwho rrtaste rrthe
rrcheese rrwill rrpurchase? rr
B) rrWhat rris rrthe rrexpected rrnumber rrof rrthese rr25 rrcustomers rrto rrpurchase? rr
C) rrWhat rris rrthe rrstandard rrdeviation rrof rrthe rrnumber rrof rrpurchases? rr- rrAnswer rra.
rr0.141
b. rr8.75
c. rr2.38
A rrpolitical rrcommittee rrconsists rrof rreight rr(8) rrDemocrats rrand rrfour rr(4) rrRepublicans.
rrA rrsubcommittee rrof rrsix rr(6) rrunique rrpeople rrneeds rrto rrbe rrformed.
A) rrDetermine rrthe rrprobability rrthat rrone rrRepublican rrwill rrbe rron rrthe rrsubcommittee
rrif rrit rris rrrandomly rrselected. rr
B) rrDetermine rrthe rrprobability rrthat rrat rrleast rrone rrRepublican rrwill rrbe rron rrthe
rrsubcommittee rrif rrit rris rrrandomly rrselected. rr
C) rrCalculate rrthe rrmean rrfor rrthe rrdistribution rrwhich rrdefines rrselecting rra rrRepublican
rras rra rrsuccess. rr
D) rrCalculate rrthe rrstandard rrdeviation rrfor rrthe rrdistribution rrwhich rrdefines rrselecting
rra rrRepublican rras rra rrsuccess. rr- rrAnswer rra. rr0.2424
b. rr0.969
c. rr2
d. rr0.85
A rrset rrof rrfinal rrexamination rrgrades rrin rra rrstatistics rrcourse rris rrnormally rrdistributed,
rrwith rra rrmean rrof rr73 rrand rra rrstandard rrdeviation rrof rr8. rrThe rrprobability rris rr5% rrthat
rra rrstudent rrtaking rrthe rrtest rrscores rrhigher rrthan rrwhat rrgrade. rr(Use rrZ-Table) rr-
rrAnswer rr86
I rrlove rrlots rrof rrpizza rrcombinations. rrI rrcould rreat rrit rrevery rrday. rrHow rrmany rrdifferent
rrpizzas rrcan rrI rrcreate rrfrom rrthe rrfollowing rrchoices?
1 rrCrust: rrThree rr(3) rrcrusts, rrchoose rrone rr(1).
1 rrSauce: rrThree rr(3) rrsauces, rrchoose rrone rr(1).
4 rrMeats: rrTen rr(10) rrmeats, rrchoose rrfour rr(4).
2 rrVegetables: rrTwelve rr(12) rrvegetables, rrchoose rrtwo rr(2). rr- rrAnswer rr124,740
Given rrthe rrsummary rrstatistics rrin rrthe rrtable rrbelow, rrCalculate rrthe rrStandard rrScore
rrfor rrx rr= rr50.
Z rr= rr____________ rr- rrAnswer rr1.8
