Now conduct a hypothesis to determine if location of a school is independent of whether it is a private school or a public school. Provide the Excel table of observed and expected values State your null and alternative hypotheses Calculate the observed and expected values for each location. Calculate the Chi-square Test statistic and the p-value Provide a side-by-side visual chart to display the relationship of the three locations for private and public schools Make a clear concluding statement without using the words reject or hypothesis.
Now conduct a hypothesis to determine if location of a school is independent of whether it is a private school or a public school. Provide the Excel table of observed and expected values State your null and alternative hypotheses Calculate the observed and expected values for each location. Calculate the Chi-square Test statistic and the p-value Provide a side-by-side visual chart to display the relationship of the three locations for private and public schools Make a clear concluding statement without using the words reject or hypothesis.
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
Now conduct a hypothesis to determine if location of a school is independent of whether it is a private school or a public school. Provide the Excel table of observed and
- Calculate the observed and expected values for each location.
- Calculate the Chi-square Test statistic and the p-value
- Provide a side-by-side visual chart to display the relationship of the three locations for private and public schools
- Make a clear concluding statement without using the words reject or hypothesis.
| 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 |
Transcribed Image Text:F-Test Two-Sample for Variances Public R&B Private R&B
F-Test Two-Sample for Variances Public Debt Private Debt
Mean
4.5500
6.3320
Mean
10.9368
14.4680
Variance
0.7784
0.9888
Variance
18.5054
14.8320
Observations
30
50
Observations
30
50
df
29
49
df
29
49
0.8036
1.1280
P(F<=f) one-tail
F Critical one-tail
0.2674
P(F<=f) one-tail
0.3477
0.5626
F Critical one-tail
1.6989
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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