Clearly one would assume that private colleges and universities would have a higher annual total cost as tuition is higher at private institutions. Construct a 95% confidence interval to estimate how much more it would cost annually to attend a private institution and interpret these values in a clear sentence. This is asking you to construct a confidence interval estimate of the difference in mean tuition. 1) Please perform an F-test for Equal Variances to determine which Two-sample t-test and SE to use. Copy and paste the necessary F-test output below and clearly state your conclusion 2) Then perform the appropriate two-sample t-test to get the necessary descriptive statistics to construct the confidence interval. Show all necessary work and/or paste your Excel output. SchoolType of TermLocationType of SchoolAverage Total SATTOEFL ScoreRoom and BoardAnnual Total CostAverage IndebtednessArizonaStateUniversity120108004.312.712.9BallStateUniversity1109851412.58.21Cal.StateUniv.-Fresno11095505.413.18.761ClemsonUniversity130113013.912.49.983CollegeofWilliam&Mary120129514.519.413.424FloridaInternationalUniv.110113502.7104.139FloridaStateUniversity110118014.511.516.5GeorgeMasonUniversity1201055151713GeorgiaStateUniversity010111507.415.48.08MontclairStateUniversity120102505.310.24.5NorthCarolinaStateUniv.11011451414.314.991OregonStateUniversity010107214.415.510.5PurdueUniversity110109514.515.211.839SanDiegoStateUniversity11094516.213.66.75SlipperyRockUniv.ofPenn.13095503.612.917SUNY-Binghamton120103914.613.46.245TexasA&MUniversity110115013.912.714.1Univ.ofGeorgia01011801411.910.8Univ.ofHawaii-Manoa110107504.712.63.617Univ.ofHouston110106514.112.19.404Univ.ofMaryland120117015.515.716.637Univ.ofMass.-Amherst120110014.216.410.2Univ.ofNevada-LasVegas11098005.512.310Univ.ofNewHampshire130111014.418.69.66Univ.ofNorthCarolina-C.H.110122514.515.29.406Univ.ofTexas-Austin110121513.912.910.2Univ.ofVermont110111515.122.421.5VirginiaCommonwealthUniv.110100514.316.314.73VirginiaTech130126513.514.910.327WestVirginiaUniversity110102514.611.710.7BabsonCollege121116517.626.418BostonCollege121128517.526.815.855BostonUniversity11112351727.914.463BowdoinCollege12113451627.813.64BryantCollege021108016.720.618BucknellUniversity13112551525.412.5CanisiusCollege111114305.918.814.824CarnegieMellonUniversity111133516.125.615.683CaseWesternReserveUniv.11113301522.226.031ClarkUniversity111112114.424.417.5ColbyCollege011127515.727.911.63ColgateUniversity131130015.927.69.236CollegeofHolyCross111127516.726.812.634EmoryUniversity111131016.526.615.309FordhamUniversity111115017.423.48.593Franklin&MarshallCollege111126014.526.411.5GeorgeWashingtonUniversity111123516.926.714.368GeorgetownUniversity111133017.527.514.013GettysburgCollege131120014.826.411.75HarvardUniversity11114651728.911.65IonaCollege12195517.319.818LafayetteCollege111118516.326.711.499LaSalleUniversity111110506.720.811.7LehighUniversity11112251626.813.84ManhattanCollege11195217.1229.268NewYorkUniversity111126017.828.617.318NiagaraUniversity121106505.417.611.577NortheasternUniversity011105518.223.425.603NorthwesternUniversity021135016.124.211.98ProvidenceCollege111118516.722.917.5RiceUniversity111139516182.323RochesterInst.Technology021118506.121.817.5SeattleUniversity011110015.319.512SetonHallUniversity121103017.120.814.9SienaCollege121109505.417.618.248SouthernMethodistUniversity121115015.321.312.113St.BonaventureUniversity131109815.117.514StanfordUniversity021143017.327.812.774SyracuseUniversity111118017.224.314.5TulaneUniversity111127016.327.513.845Univ.ofChicago011137017.328.814.073Univ.ofMiami121114517.125.716.068Univ.ofNotreDame121132014.823.816.572Univ.ofPennsylvania111135517.528.617.621Univ.ofPortland111113504.518.913.896Univ.ofScranton011111506.621.613.5VanderbiltUniversity111129517.127.314.5VillanovaUniversity12112421724.817.125WakeForestUniversity121128015.223.718.703YaleUniversity111145016.728.913.574 1SchoolType of Term Location Type of School Average Total SAT TOEFL Score Room and Board Annual Total Cost Average Indebtedness2 ArizonaStateUniversity3 BallStateUniversity4 Cal.StateUniv.-Fresno5 ClemsonUniversity6 CollegeofWilliam&Mary7 FloridalnternationalUniv.8 FloridaStateUniversity9 GeorgeMasonUniversity10 GeorgiaStateUniversity11 MontclairStateUniversity12 NorthCarolinaStateUniv.13 OregonStateUniversity14 PurdueUniversity15 SanDiegoStateUniversity16 SlipperyRockUniv.ofPenn.17 SUNY-Binghamton18 TexasA&MUniversity19 Univ.ofGeorgia20 Univ.ofHawaii-Manoa21 Univ.ofHouston22 Univ.ofMaryland108098524.312.712.91112.58.21119555.413.18.76113113013.912.49.9831129514.519.413.4241111352.7104.13911118014.511.516.5110551171311157.415.48.08110255.310.24.51111451414.314.9911107214.415.510.511.83911109514.515.21194516.213.66.75139553.612.9171103914.613.46.24511115013.912.714.1111801411.910.81110754.712.63.61711106514.112.19.4041117015.515.716.63723 Univ.ofMass.-Amherst1110014.216.410.224 Univ.ofNevada-LasVegas25 Univ.ofNewHampshire119805.512.31013111014.418.69.6626 Univ.ofNorthCarolina-C.H.11122514.515.29.40627 Univ.ofTexas-Austin11121513.912.910.228 Univ.ofVermont11111515.122.421.516.329 VirginiaCommonwealthUniv30 VirginiaTech31 WestVirginiaUniversity32 BabsonCollege33 BostonCollege34 BostonUniversity35 BowdoinCollege36 BryantCollege37 BucknellUniversity38 CanisiusCollege39 CarnegieMellonUniversity11100514.314.731126513.514.910.32711.726.411102514.610.711116517.61811128517.526.815.85527.927.811112351714.463111345113.641108016.720.61813112551525.412.511111435.918.814.824111133516.125.615.68340 CaseWesternReserveUniv.1111330122.226.03141 ClarkUniversity42 ColbyCollege43 ColgateUniversity44 CollegeofHolyCross45 EmoryUniversity46 FordhamUniversity47 Franklin&MarshallCollege48 GeorgeWashingtonUniversi49 GeorgetownUniversity50 GettysburgCollege111112114.424.417.511127515.727.911.6311130015.927.69.236127526.826.611116.712.634111131016.515.309111115017.423.48.5931111260123514.526.411.51116.926.714.36811133017.527.514.01311120014.826.411.753440 575 543*52 669 7-52 5450X++ 6 54t354 m47 7*55 6674t 674

Given information: The data represents the values of annual total cost of private school and public…

Answered: Clearly one would assume that private…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Clearly one would assume that private colleges and universities would have a higher annual total cost as tuition is higher at private institutions. Construct a 95% confidence interval to estimate how much more it would cost annually to attend a private institution and interpret these values in a clear sentence. This is asking you to construct a confidence interval estimate of the difference in mean tuition.

1) Please perform an F-test for Equal Variances to determine which Two-sample t-test and SE to use. Copy and paste the necessary F-test output below and clearly state your conclusion

2) Then perform the appropriate two-sample t-test to get the necessary descriptive statistics to construct the confidence interval. Show all necessary work and/or paste your Excel output.

School	Type of Term	Location	Type of School	Average Total SAT	TOEFL Score	Room and Board	Annual Total Cost	Average Indebtedness
ArizonaStateUniversity	1	2	0	1080	0	4.3	12.7	12.9
BallStateUniversity	1	1	0	985	1	4	12.5	8.21
Cal.StateUniv.-Fresno	1	1	0	955	0	5.4	13.1	8.761
ClemsonUniversity	1	3	0	1130	1	3.9	12.4	9.983
CollegeofWilliam&Mary	1	2	0	1295	1	4.5	19.4	13.424
FloridaInternationalUniv.	1	1	0	1135	0	2.7	10	4.139
FloridaStateUniversity	1	1	0	1180	1	4.5	11.5	16.5
GeorgeMasonUniversity	1	2	0	1055	1	5	17	13
GeorgiaStateUniversity	0	1	0	1115	0	7.4	15.4	8.08
MontclairStateUniversity	1	2	0	1025	0	5.3	10.2	4.5
NorthCarolinaStateUniv.	1	1	0	1145	1	4	14.3	14.991
OregonStateUniversity	0	1	0	1072	1	4.4	15.5	10.5
PurdueUniversity	1	1	0	1095	1	4.5	15.2	11.839
SanDiegoStateUniversity	1	1	0	945	1	6.2	13.6	6.75
SlipperyRockUniv.ofPenn.	1	3	0	955	0	3.6	12.9	17
SUNY-Binghamton	1	2	0	1039	1	4.6	13.4	6.245
TexasA&MUniversity	1	1	0	1150	1	3.9	12.7	14.1
Univ.ofGeorgia	0	1	0	1180	1	4	11.9	10.8
Univ.ofHawaii-Manoa	1	1	0	1075	0	4.7	12.6	3.617
Univ.ofHouston	1	1	0	1065	1	4.1	12.1	9.404
Univ.ofMaryland	1	2	0	1170	1	5.5	15.7	16.637
Univ.ofMass.-Amherst	1	2	0	1100	1	4.2	16.4	10.2
Univ.ofNevada-LasVegas	1	1	0	980	0	5.5	12.3	10
Univ.ofNewHampshire	1	3	0	1110	1	4.4	18.6	9.66
Univ.ofNorthCarolina-C.H.	1	1	0	1225	1	4.5	15.2	9.406
Univ.ofTexas-Austin	1	1	0	1215	1	3.9	12.9	10.2
Univ.ofVermont	1	1	0	1115	1	5.1	22.4	21.5
VirginiaCommonwealthUniv.	1	1	0	1005	1	4.3	16.3	14.73
VirginiaTech	1	3	0	1265	1	3.5	14.9	10.327
WestVirginiaUniversity	1	1	0	1025	1	4.6	11.7	10.7
BabsonCollege	1	2	1	1165	1	7.6	26.4	18
BostonCollege	1	2	1	1285	1	7.5	26.8	15.855
BostonUniversity	1	1	1	1235	1	7	27.9	14.463
BowdoinCollege	1	2	1	1345	1	6	27.8	13.64
BryantCollege	0	2	1	1080	1	6.7	20.6	18
BucknellUniversity	1	3	1	1255	1	5	25.4	12.5
CanisiusCollege	1	1	1	1143	0	5.9	18.8	14.824
CarnegieMellonUniversity	1	1	1	1335	1	6.1	25.6	15.683
CaseWesternReserveUniv.	1	1	1	1330	1	5	22.2	26.031
ClarkUniversity	1	1	1	1121	1	4.4	24.4	17.5
ColbyCollege	0	1	1	1275	1	5.7	27.9	11.63
ColgateUniversity	1	3	1	1300	1	5.9	27.6	9.236
CollegeofHolyCross	1	1	1	1275	1	6.7	26.8	12.634
EmoryUniversity	1	1	1	1310	1	6.5	26.6	15.309
FordhamUniversity	1	1	1	1150	1	7.4	23.4	8.593
Franklin&MarshallCollege	1	1	1	1260	1	4.5	26.4	11.5
GeorgeWashingtonUniversity	1	1	1	1235	1	6.9	26.7	14.368
GeorgetownUniversity	1	1	1	1330	1	7.5	27.5	14.013
GettysburgCollege	1	3	1	1200	1	4.8	26.4	11.75
HarvardUniversity	1	1	1	1465	1	7	28.9	11.65
IonaCollege	1	2	1	955	1	7.3	19.8	18
LafayetteCollege	1	1	1	1185	1	6.3	26.7	11.499
LaSalleUniversity	1	1	1	1105	0	6.7	20.8	11.7
LehighUniversity	1	1	1	1225	1	6	26.8	13.84
ManhattanCollege	1	1	1	952	1	7.1	22	9.268
NewYorkUniversity	1	1	1	1260	1	7.8	28.6	17.318
NiagaraUniversity	1	2	1	1065	0	5.4	17.6	11.577
NortheasternUniversity	0	1	1	1055	1	8.2	23.4	25.603
NorthwesternUniversity	0	2	1	1350	1	6.1	24.2	11.98
ProvidenceCollege	1	1	1	1185	1	6.7	22.9	17.5
RiceUniversity	1	1	1	1395	1	6	18	2.323
RochesterInst.Technology	0	2	1	1185	0	6.1	21.8	17.5
SeattleUniversity	0	1	1	1100	1	5.3	19.5	12
SetonHallUniversity	1	2	1	1030	1	7.1	20.8	14.9
SienaCollege	1	2	1	1095	0	5.4	17.6	18.248
SouthernMethodistUniversity	1	2	1	1150	1	5.3	21.3	12.113
St.BonaventureUniversity	1	3	1	1098	1	5.1	17.5	14
StanfordUniversity	0	2	1	1430	1	7.3	27.8	12.774
SyracuseUniversity	1	1	1	1180	1	7.2	24.3	14.5
TulaneUniversity	1	1	1	1270	1	6.3	27.5	13.845
Univ.ofChicago	0	1	1	1370	1	7.3	28.8	14.073
Univ.ofMiami	1	2	1	1145	1	7.1	25.7	16.068
Univ.ofNotreDame	1	2	1	1320	1	4.8	23.8	16.572
Univ.ofPennsylvania	1	1	1	1355	1	7.5	28.6	17.621
Univ.ofPortland	1	1	1	1135	0	4.5	18.9	13.896
Univ.ofScranton	0	1	1	1115	0	6.6	21.6	13.5
VanderbiltUniversity	1	1	1	1295	1	7.1	27.3	14.5
VillanovaUniversity	1	2	1	1242	1	7	24.8	17.125
WakeForestUniversity	1	2	1	1280	1	5.2	23.7	18.703
YaleUniversity	1	1	1	1450	1	6.7	28.9	13.574

1
School
Type of Term Location Type of School Average Total SAT TOEFL Score Room and Board Annual Total Cost Average Indebtedness
2 ArizonaStateUniversity
3 BallStateUniversity
4 Cal.StateUniv.-Fresno
5 ClemsonUniversity
6 CollegeofWilliam&Mary
7 FloridalnternationalUniv.
8 FloridaStateUniversity
9 GeorgeMasonUniversity
10 GeorgiaStateUniversity
11 MontclairStateUniversity
12 NorthCarolinaStateUniv.
13 OregonStateUniversity
14 PurdueUniversity
15 SanDiegoStateUniversity
16 SlipperyRockUniv.ofPenn.
17 SUNY-Binghamton
18 TexasA&MUniversity
19 Univ.ofGeorgia
20 Univ.ofHawaii-Manoa
21 Univ.ofHouston
22 Univ.ofMaryland
1080
985
2
4.3
12.7
12.9
1
1
12.5
8.21
1
1
955
5.4
13.1
8.761
1
3
1130
1
3.9
12.4
9.983
1
1295
1
4.5
19.4
13.424
1
1
1135
2.7
10
4.139
1
1
1180
1
4.5
11.5
16.5
1
1055
1
17
13
1115
7.4
15.4
8.08
1
1025
5.3
10.2
4.5
1
1
1145
1
4
14.3
14.991
1
1072
1
4.4
15.5
10.5
11.839
1
1
1095
1
4.5
15.2
1
1
945
1
6.2
13.6
6.75
1
3
955
3.6
12.9
17
1
1039
1
4.6
13.4
6.245
1
1
1150
1
3.9
12.7
14.1
1
1180
1
4
11.9
10.8
1
1
1075
4.7
12.6
3.617
1
1
1065
1
4.1
12.1
9.404
1
1170
1
5.5
15.7
16.637
23 Univ.ofMass.-Amherst
1
1100
1
4.2
16.4
10.2
24 Univ.ofNevada-LasVegas
25 Univ.ofNewHampshire
1
1
980
5.5
12.3
10
1
3
1110
1
4.4
18.6
9.66
26 Univ.ofNorthCarolina-C.H.
1
1
1225
1
4.5
15.2
9.406
27 Univ.ofTexas-Austin
1
1
1215
1
3.9
12.9
10.2
28 Univ.ofVermont
1
1
1115
1
5.1
22.4
21.5
16.3
29 VirginiaCommonwealthUniv
30 VirginiaTech
31 WestVirginiaUniversity
32 BabsonCollege
33 BostonCollege
34 BostonUniversity
35 BowdoinCollege
36 BryantCollege
37 BucknellUniversity
38 CanisiusCollege
39 CarnegieMellonUniversity
1
1
1005
1
4.3
14.73
1
1265
1
3.5
14.9
10.327
11.7
26.4
1
1
1025
1
4.6
10.7
1
1
1165
1
7.6
18
1
1
1285
1
7.5
26.8
15.855
27.9
27.8
1
1
1
1235
1
7
14.463
1
1
1345
1
13.64
1
1080
1
6.7
20.6
18
1
3
1
1255
1
5
25.4
12.5
1
1
1
1143
5.9
18.8
14.824
1
1
1
1335
1
6.1
25.6
15.683
40 CaseWesternReserveUniv.
1
1
1
1330
1
22.2
26.031
41 ClarkUniversity
42 ColbyCollege
43 ColgateUniversity
44 CollegeofHolyCross
45 EmoryUniversity
46 FordhamUniversity
47 Franklin&MarshallCollege
48 GeorgeWashingtonUniversi
49 GeorgetownUniversity
50 GettysburgCollege
1
1
1
1121
1
4.4
24.4
17.5
1
1
1275
1
5.7
27.9
11.63
1
1
1300
1
5.9
27.6
9.236
1275
26.8
26.6
1
1
1
1
6.7
12.634
1
1
1
1310
1
6.5
15.309
1
1
1
1150
1
7.4
23.4
8.593
1
1
1
1260
1235
1
4.5
26.4
11.5
1
1
1
6.9
26.7
14.368
1
1
1330
1
7.5
27.5
14.013
1
1
1200
1
4.8
26.4
11.75
3440 575 543
*52 669 7
-52 5450X
++ 6 54t354 m47 7
*55 6674t 674

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