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 t
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 t
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
| School | School | |||
| Type of Term | Not sure, probably based on | Type of Term | semesters - 1 , quarters - 0 | |
| semesters - 1 , quarters - 0 | Location | urban (1), suburban (2), rural (3) | ||
| Type of School | private - 1 , public - 0 | |||
| Location | Not sure, 3 locations | Average Total SAT | average combined math and verbal only | |
| Maybe urban (1), suburban (2), rural (3) | TOEFL Score | 1 - TOEFL >= 550, 0 - otherwise | ||
| Room and Board | Recorded in thousands of dollars | |||
| Type of School | private - 1 , public - 0 | Annual Total Cost | Recorded in thousands of dollars | |
| Average Indebtedness | Recorded in thousands of dollars | |||
| Average Total SAT | average combined math and verbal only | |||
| TOEFL Score | 1 - TOEFL >= 550, 0 - otherwise | |||
| (test of English as | Test which scores proficiency in 4 skills | |||
| foreign language) | reading, listening, speaking and writing | |||
| Room and Board | Recorded in thousands of dollars | |||
| Annual Total Cost | Recorded in thousands of dollars | |||
| Average Indebtedness | Recorded in thousands of dollars |
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
| 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 | 0 |
Transcribed Image Text:Type of Term
semesters - 1, quarters - 0
urban (1), suburban (2), rural (3)
private - 1, public - 0
average combined math and verbal only
1- TOEFL >= 550, 0 - otherwise
Location
Type of School
Average Total SAT
TOEFL Score
Room and Board
Recorded in thousands of dollars
Annual Total Cost
Recorded in thousands of dollars
Average Indebtedness
Recorded in thousands of dollars
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