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In R Studio: a . Which statistical test is most appropriate for comparing debt at graduation incurred by students at private universities and public colleges?

In R Studio:
a. Which statistical test is most appropriate for comparing debt at graduation incurred by students at private universities and public colleges?
b. At the a=0.05 level and assuming that the population is normally distributed, is there significant evidence that the two types of universities result in different debt levels?
Option Average.Debt.At.Graduation
1 Private 8577
2 Private 19104
3 Private 16723
4 Private 21506
5 Private 15521
6 Private 25528
7 Private 20677
8 Private 21238
9 Private 22197
10 Private 23485
11 Private 19135
12 Private 25167
13 Private 26983
14 Private 24394
15 Private 27237
16 Private 26157
17 Private 23067
18 Private 21291
19 Private 24702
20 Private 20849
21 Private 24243
22 Private 23051
23 Private 26185
24 Private 15720
25 Private 36546
26 Private 36626
27 Private 34940
28 Private 27925
29 Private 28048
30 Private 30873
31 Private 29547
32 Private 33588
33 Private 27407
34 Private 33792
35 Private 30850
36 Private 19000
37 Private 22364
38 Private 29459
39 Private 30742
40 Private 23772
41 Private 33081
42 Private 30480
43 Private 32040
44 Private 31622
45 Private 30879
46 Private 31444
47 Private 28562
48 Private 32077
49 Private 26451
50 Private 40365
51 Private 26321
52 Private 21067
53 Private 34820
54 Private 30569
55 Private 32394
56 Private 33487
57 Private 25621
58 Private 28953
59 Private 35740
60 Private 26722
61 Private 25069
62 Private 22543
63 Private 29947
64 Private 40721
65 Private 28464
66 Private 31000
67 Private 35520
68 Private 40403
69 Private 31013
70 Private 32943
71 Private 30487
72 Private 37048
73 Private 34865
74 Private 37008
75 Private 29297
76 Private 32071
77 Private 31784
78 Private 39167
79 Private 30826
80 Private 29455
81 Private 28093
82 Private 30830
83 Private 36500
84 Private 27857
85 Private 38198
86 Private 28477
87 Private 34375
88 Private 34803
89 Private 28598
90 Private 35627
91 Private 28149
92 Private 30658
93 Private 37740
94 Private 38780
95 Private 36625
96 Private 32131
97 Private 25770
98 Private 29000
99 Private 33870
100 Private 39771
101 Public 20127
102 Public 24905
103 Public 17869
104 Public 26017
105 Public 26034
106 Public 21596
107 Public 21028
108 Public 26818
109 Public 25182
110 Public 22087
111 Public 26994
112 Public 21180
113 Public 25349
114 Public 20978
115 Public 25844
116 Public 25448
117 Public 21660
118 Public 17461
119 Public 14929
120 Public 26006
121 Public 21678
122 Public 27400
123 Public 20628
124 Public 30270
125 Public 30015
126 Public 7915
127 Public 24999
128 Public 22912
129 Public 36994
130 Public 19588
131 Public 24220
132 Public 21174
133 Public 25334
134 Public 27711
135 Public 23592
136 Public 28873
137 Public 20611
138 Public 26091
139 Public 34101
140 Public 22300
141 Public 38045
142 Public 24276
143 Public 28170
144 Public 35972
145 Public 22401
146 Public 31958
147 Public 25605
148 Public 28517
149 Public 24272
150 Public 22580
151 Public 21824
152 Public 16077
153 Public 26060
154 Public 27255
155 Public 27681
156 Public 24768
157 Public 19500
158 Public 27006
159 Public 20100

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