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 inter

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
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
Transcribed Image Text: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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman