How do private universities and public colleges compare with respect to debt at graduation incurred by students? The accompanying data table contains the average debt at graduation incurred by students for 100 private universities and 100 public colleges. Complete parts (a) through (d) below. Option Average Debt at Graduation ($) Private 5479 Private 12837 Private 12699 Private 17978 Private 18381 Private 20412 Private 14878 Private 17798 Private 16471 Private 15632 Private 19967 Private 20470 Private 24533 Private 26034 Private 24089 Private 24018 Private 22938 Private 27649 Private 23251 Private 24491 Private 24080 Private 21327 Private 15674 Private 24907 Private 33138 Private 35757 Private 28419 Private 30023 Private 22848 Private 14238 Private 35862 Private 31300 Private 28698 Private 32101 Private 28358 Private 32501 Private 38437 Private 28976 Private 35439 Private 31161 Private 23776 Private 27839 Private 30539 Private 30960 Private 24624 Private 34912 Private 34573 Private 26817 Private 37847 Private 32477 Private 30181 Private 16759 Private 30983 Private 24631 Private 33586 Private 26926 Private 28932 Private 33899 Private 29832 Private 34951 Private 32054 Private 44706 Private 33007 Private 31594 Private 27047 Private 31081 Private 26822 Private 36858 Private 29814 Private 29445 Private 29282 Private 25964 Private 26278 Private 29247 Private 32918 Private 37577 Private 37668 Private 31380 Private 29130 Private 28670 Private 31756 Private 31698 Private 29522 Private 36575 Private 29356 Private 27817 Private 36795 Private 33519 Private 23861 Private 30421 Private 28267 Private 34725 Private 34206 Private 33619 Private 30564 Private 28889 Private 25849 Private 33646 Private 31363 Private 26733 Public 17809 Public 21810 Public 21686 Public 17508 Public 20997 Public 27421 Public 24309 Public 26058 Public 24695 Public 19543 Public 21249 Public 18709 Public 17252 Public 26052 Public 27314 Public 19649 Public 24821 Public 24735 Public 23178 Public 19523 Public 22920 Public 24151 Public 33028 Public 20091 Public 24941 Public 27059 Public 29134 Public 24574 Public 33906 Public 20058 Public 22271 Public 27703 Public 23630 Public 19909 Public 22873 Public 25141 Public 20025 Public 10555 Public 20399 Public 28166 Public 31842 Public 22961 Public 24112 Public 28174 Public 15185 Public 13998 Public 35582 Public 26230 Public 23961 Public 25530 Public 17332 Public 21857 Public 14693 Public 24925 Public 26806 Public 35974 Public 24213 Public 23648 Public 24769 Public 25601 Public 18736 Public 21605 Public 23276 Public 21508 Public 26628 Public 17385 Public 20924 Public 23060 Public 24809 Public 30684 Public 28071 Public 16314 Public 22064 Public 29982 Public 12533 Public 21879 Public 21469 Public 24274 Public 22308 Public 26510 Public 18146 Public 31217 Public 25415 Public 23521 Public 31681 Public 23920 Public 20620 Public 26895 Public 26970 Public 22957 Public 21301 Public 15687 Public 22982 Public 21445 Public 35177 Public 25299 Public 27925 Publ.

1. How do private universities and public colleges compare with respect to debt at graduation
incurred by students? The accompanying data table contains the average debt at graduation
incurred by students for 100 private universities and 100 public colleges. Complete parts (a)
through (d) below.
Option Average Debt at Graduation ($)
Private 5479
Private 12837
Private 12699
Private 17978
Private 18381
Private 20412
Private 14878
Private 17798
Private 16471
Private 15632
Private 19967
Private 20470
Private 24533
Private 26034
Private 24089
Private 24018
Private 22938
Private 27649
Private 23251
Private 24491
Private 24080
Private 21327
Private 15674
Private 24907
Private 33138
Private 35757
Private 28419
Private 30023
Private 22848
Private 14238
Private 35862
Private 31300
Private 28698
Private 32101
Private 28358
Private 32501
Private 38437
Private 28976
Private 35439
Private 31161

2. Private 23776
Private 27839
Private 30539
Private 30960
Private 24624
Private 34912
Private 34573
Private 26817
Private 37847
Private 32477
Private 30181
Private 16759
Private 30983
Private 24631
Private 33586
Private 26926
Private 28932
Private 33899
Private 29832
Private 34951
Private 32054
Private 44706
Private 33007
Private 31594
Private 27047
Private 31081
Private 26822
Private 36858
Private 29814
Private 29445
Private 29282
Private 25964
Private 26278
Private 29247
Private 32918
Private 37577
Private 37668
Private 31380
Private 29130
Private 28670
Private 31756
Private 31698
Private 29522
Private 36575
Private 29356
Private 27817

3. Private 36795
Private 33519
Private 23861
Private 30421
Private 28267
Private 34725
Private 34206
Private 33619
Private 30564
Private 28889
Private 25849
Private 33646
Private 31363
Private 26733
Public 17809
Public 21810
Public 21686
Public 17508
Public 20997
Public 27421
Public 24309
Public 26058
Public 24695
Public 19543
Public 21249
Public 18709
Public 17252
Public 26052
Public 27314
Public 19649
Public 24821
Public 24735
Public 23178
Public 19523
Public 22920
Public 24151
Public 33028
Public 20091
Public 24941
Public 27059
Public 29134
Public 24574
Public 33906
Public 20058
Public 22271
Public 27703

4. Public 23630
Public 19909
Public 22873
Public 25141
Public 20025
Public 10555
Public 20399
Public 28166
Public 31842
Public 22961
Public 24112
Public 28174
Public 15185
Public 13998
Public 35582
Public 26230
Public 23961
Public 25530
Public 17332
Public 21857
Public 14693
Public 24925
Public 26806
Public 35974
Public 24213
Public 23648
Public 24769
Public 25601
Public 18736
Public 21605
Public 23276
Public 21508
Public 26628
Public 17385
Public 20924
Public 23060
Public 24809
Public 30684
Public 28071
Public 16314
Public 22064
Public 29982
Public 12533
Public 21879
Public 21469
Public 24274

5. Public 22308
Public 26510
Public 18146
Public 31217
Public 25415
Public 23521
Public 31681
Public 23920
Public 20620
Public 26895
Public 26970
Public 22957
Public 21301
Public 15687
Public 22982
Public 21445
Public 35177
Public 25299
Public 27925
Public 27750
Public 29887
Public 34796
. At the
0.01
level of significance, is there a difference in the variance of average graduation debt incurred by
students for private universities and public colleges?
Let
private university graduates
correspond to subscript
"pr"
and let
public college graduates
correspond to subscript
"pu."

6. Identify the null and alternative hypotheses. Choose the correct answer below.
A.
H0:
2pr2pu
H1:
2pr=2pu
B.
H0:
2pr>2pu
H1:
2pr2pu
C.
H0:
2pr=2pu
H1:
2pr2pu
D.
H0:
2pr2pu
H1:
2pr>2pu
Identify the test statistic for this test.
5.515.51

7. (Round to two decimal places as needed.)
Identify the p-value for this test.
0.0000.000
(Round to three decimal places as needed.)
Determine the conclusion for this test. Choose the correct answer below.
A.
Do not reject
H0.
There
is
sufficient evidence of a difference in the variance of average graduation debt incurred by
students for private universities and public colleges at the
=0.01
level of significance.
B.
Do not reject
H0.
There
is not
sufficient evidence of a difference in the variance of average graduation debt incurred by
students for private universities and public colleges at the
=0.01
level of significance.
C.

8. Reject
H0.
There
is
sufficient evidence of a difference in the variance of average graduation debt incurred by
students for private universities and public colleges at the
=0.01
level of significance.
D.
Reject
H0.
There
is not
sufficient evidence of a difference in the variance of average graduation debt incurred by
students for private universities and public colleges at the
=0.01
level of significance.
b. Using the results of (a), which t-test is appropriate for comparing mean debt at graduation
incurred by students at private universities and public colleges?
In this case, the samples are
independent
independent
dependent
and there
is

9. is
is not
sufficient evidence that the variances are different, so use a
separate dash variance t dash testseparate-variance t-test
paired t dash testpaired t-test
separate dash variance t dash testseparate-variance t-test
pooled dash variance t dash testpooled-variance t-test
to compare the means.
c. At the
0.01
level of significance, conduct the test selected in (b).
As in part (a), let
private university graduates
correspond to subscript
"pr"
and let
public college graduates
correspond to subscript
"pu."
Identify the null and alternative hypotheses. Choose the correct answer below.
A.
H0:
prpu0

10. H1:
prpu=0
B.
H0:
prpu>0
H1:
prpu0
C.
H0:
prpu=0
H1:
prpu0
D.
H0:
prpu0
H1:
prpu>0
Identify the test statistic for this test.
enter your response here
(Round to two decimal places as needed.)
Identify the p-value for this test.
enter your response here
(Round to three decimal places as needed.)

11. Determine the conclusion for this test. Choose the correct answer below.
A.
Reject
H0
because the p-value is
less than
the level of significance.
B.
Do not reject
H0
because the p-value is
greater than or equal to
the level of significance.
C.
Do not reject
H0
because the p-value is
less than
the level of significance.
D.
Reject
H0
because the p-value is

12. greater than or equal to
the level of significance.
d. Write a short summary of your findings.
There
is not
is
sufficient evidence of a difference in the variance of average graduation debt incurred by
students for private universities and public colleges at the
enter your response here
level of significance. There
is
is not
sufficient evidence of a difference in the mean debt at graduation incurred by students at private
universities and public colleges at the
enter your response here
level of significance.
(Type integers or decimals. Do not round.)