MATH/GM 533 Final ExamI I I
1. (TCO ID) IPuttingPeople2Work Ihas Ia Igrowing Ibusiness Iplacing Iout-of-work IMBAs. IThey
Ic laim Ithey Ican Iplace Ia Iclient Iin Ia Ijob Iin Itheir Ifield Iin Iless Ithan I36 Iweeks. IYou Iare Igiven Ithe
Ifollowing Idata Ifrom Ia Isample.
Sample Isize: I100
Population Istandard Ideviation: I5
ISample Imean: I34.2
Formulate Ia Ihypothesis Itest Ito Ievaluate Ithe Iclaim. I(Points I: I10)
IHo: Iµ I= I36; IHa: Iµ I≠ I36
Ho: Iµ I≥ I36; IHa: Iµ I< I36
IHo: Iµ I≤ I34.2; IHa: Iµ I> I34.2
Ho: Iµ I> I36; IHa: Iµ I≤ I36
Ans. Ib.
H0 Imust Ialways Ihave Iequal Isign, I< I36 Iweeks
2. (TCO IB) IThe IRepublican Iparty Iis Iinterested Iin Istudying Ithe Inumber Iof Irepublicans Ithat Imight
Ivote Iin Ia Iparticular Icongressional Idistrict. IAssume Ithat Ithe Inumber Iof Ivoters Iis Ibinomially
Idistributed Iby Iparty Iaffiliation I(either Irepublican Ior Inot Irepublican). IIf I10 Ipeople Ishow Iup Iat Ithe
Ipolls, Idetermine Ithe Ifollowing:
Binomial Idistribution
10 I I In
0.5 I p
cumulative
X P(X)
Iprobability
0 0.00098 0.00098
1 0.00977 0.01074
2 0.04395 0.05469
3 0.11719 0.17188
4 0.20508 0.37695
5 0.24609 0.62305
6 0.20508 0.82813
7 0.11719 0.94531
8 0.04395 0.98926
9 0.00977 0.99902
, 10 0.00098 1.00000
What Iis Ithe Iprobability Ithat Ino Imore Ithan Ifour Iwill Ibe Irepublicans? I(Points I: I10)
I38%
12%
21%
62%
Ans. Ia
look Iat Ix=4, Icumulative Iprobability
3. I(TCO IA) ICompany IABC Ihad Isales Iper Imonth Ias Ilisted Ibelow. IUsing Ithe IMinitab Ioutput Igiven,
Idetermine:
(A) Range I(5 Ipoints);
(B) Median I(5 Ipoints); Iand
(C) The Irange Iof Ithe Idata Ithat Iwould Icontain I68% Iof Ithe Iresults. I(5 Ipoints).
IRaw Idata: Isales/month I(Millions Iof I$)
23
45
34
34
56
67
54
34
45
56
23
19
Descriptive IStatistics: ISales
Variable Total ICount Mean StDev Variance Minimum Maximum Range
ISales 12 40.83 15.39 236.88 19.00 67.00 48.00
Stem-and-Leaf IDisplay: ISales
IStem-and-leaf Iof ISales IN I= I12
ILeaf IUnit I= I1.0
1 1 9
3 2 33
3 2
6 3 444
6 3
1. (TCO ID) IPuttingPeople2Work Ihas Ia Igrowing Ibusiness Iplacing Iout-of-work IMBAs. IThey
Ic laim Ithey Ican Iplace Ia Iclient Iin Ia Ijob Iin Itheir Ifield Iin Iless Ithan I36 Iweeks. IYou Iare Igiven Ithe
Ifollowing Idata Ifrom Ia Isample.
Sample Isize: I100
Population Istandard Ideviation: I5
ISample Imean: I34.2
Formulate Ia Ihypothesis Itest Ito Ievaluate Ithe Iclaim. I(Points I: I10)
IHo: Iµ I= I36; IHa: Iµ I≠ I36
Ho: Iµ I≥ I36; IHa: Iµ I< I36
IHo: Iµ I≤ I34.2; IHa: Iµ I> I34.2
Ho: Iµ I> I36; IHa: Iµ I≤ I36
Ans. Ib.
H0 Imust Ialways Ihave Iequal Isign, I< I36 Iweeks
2. (TCO IB) IThe IRepublican Iparty Iis Iinterested Iin Istudying Ithe Inumber Iof Irepublicans Ithat Imight
Ivote Iin Ia Iparticular Icongressional Idistrict. IAssume Ithat Ithe Inumber Iof Ivoters Iis Ibinomially
Idistributed Iby Iparty Iaffiliation I(either Irepublican Ior Inot Irepublican). IIf I10 Ipeople Ishow Iup Iat Ithe
Ipolls, Idetermine Ithe Ifollowing:
Binomial Idistribution
10 I I In
0.5 I p
cumulative
X P(X)
Iprobability
0 0.00098 0.00098
1 0.00977 0.01074
2 0.04395 0.05469
3 0.11719 0.17188
4 0.20508 0.37695
5 0.24609 0.62305
6 0.20508 0.82813
7 0.11719 0.94531
8 0.04395 0.98926
9 0.00977 0.99902
, 10 0.00098 1.00000
What Iis Ithe Iprobability Ithat Ino Imore Ithan Ifour Iwill Ibe Irepublicans? I(Points I: I10)
I38%
12%
21%
62%
Ans. Ia
look Iat Ix=4, Icumulative Iprobability
3. I(TCO IA) ICompany IABC Ihad Isales Iper Imonth Ias Ilisted Ibelow. IUsing Ithe IMinitab Ioutput Igiven,
Idetermine:
(A) Range I(5 Ipoints);
(B) Median I(5 Ipoints); Iand
(C) The Irange Iof Ithe Idata Ithat Iwould Icontain I68% Iof Ithe Iresults. I(5 Ipoints).
IRaw Idata: Isales/month I(Millions Iof I$)
23
45
34
34
56
67
54
34
45
56
23
19
Descriptive IStatistics: ISales
Variable Total ICount Mean StDev Variance Minimum Maximum Range
ISales 12 40.83 15.39 236.88 19.00 67.00 48.00
Stem-and-Leaf IDisplay: ISales
IStem-and-leaf Iof ISales IN I= I12
ILeaf IUnit I= I1.0
1 1 9
3 2 33
3 2
6 3 444
6 3
