The data is from 80 universities and colleges. If total costs are higher at private colleges one would also suspect that debt is higher.  Do the data support that mean indebtedness is significantly higher for those attending a private school versus a public school?  Show all necessary statistics and state a clear conclusion in non-statistical language. State your null and alternative hypotheses Calculate or highlight the appropriate test statistic in the output Highlight the p-value or critical value comparison to determine the conclusion of the test Make a clear concluding statement without using the words reject or hypothesis. Copy and paste the highlighted output Make a clear conclusion about mean indebtedness between private and public schools. If mean debt is higher from private schools, then construct the appropriate confidence interval to estimate how much higher and interpret these results in the context of mean debt incurred. School Type of Term

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The data is from 80 universities and colleges.

If total costs are higher at private colleges one would also suspect that debt is higher.  Do the data support that mean indebtedness is significantly higher for those attending a private school versus a public school?  Show all necessary statistics and state a clear conclusion in non-statistical language.

  1. State your null and alternative hypotheses
  2. Calculate or highlight the appropriate test statistic in the output
  3. Highlight the p-value or critical value comparison to determine the conclusion of the test
  4. Make a clear concluding statement without using the words reject or hypothesis.

Copy and paste the highlighted output

Make a clear conclusion about mean indebtedness between private and public schools.

If mean debt is higher from private schools, then construct the appropriate confidence interval to estimate how much higher and interpret these results in the context of mean debt incurred.

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
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: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
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
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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