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You have been hired by RRB Bank which is interested in the factors leading to customers being at risk of defaulting on their credit cards.

You have been hired by RRB Bank which is interested in the factors leading to customers being at risk of defaulting on their credit cards. The associated spreadsheet contains information on three variables:

  • Gender
  • Risk Rating - Internal assessment comparing monthly credit spending to credit level. 0 - 4 with 0 as the lowest risk rating.
  • Average Monthly Balance - that is the amount not paid off at the end of the month.

  1. Many banks, including the Grameen Bank, consider that females are better at managing budgets. In order to determine if this is true RRB has asked you to conduct a test at the 5% level of significance to see if the average monthly balance of female clients is less than that of male clients. (6 Marks)
  2. RRB is also concerned that there may be gender bias in lending practices and decide to look at the risk rating factor they have assigned on their clients. Conduct a test at the 5% level of significance to determine if there is a difference in the proportion of female and male clients who have a risk rating of 0. (Hint: Count the number of females with a rating of 0 and the number of males who have a rating of 0 and convert these to proportion) (5 Marks)
Client Gender Risk Rating Average Monthly balance
1 M 0 2517
2 M 0 1833
3 F 1 1418
4 F 1 1873
5 M 3 890
6 M 0 1049
7 F 0 1034
8 M 0 0
9 F 0 1179
10 M 0 629
11 M 0 0
12 M 0 2517
13 F 0 644
14 M 0 1634
15 M 1 1389
16 F 0 1992
17 M 3 0
18 F 3 0
19 F 0 2324
20 M 0 1276
21 F 0 2485
22 F 3 0
23 M 1 1118
24 M 0 0
25 M 0 1182
26 M 3 883
27 F 3 0
28 F 1 1260
29 F 1 1557
30 M 0 2061
31 M 0 1561
32 M 0 910
33 F 0 2215
34 F 0 0
35 M 1 0
36 M 0 1155
37 F 0 1576
38 M 2 1710
39 F 0 2145
40 M 0 1547
41 M 0 1250
42 F 0 1880
43 F 0 788
44 F 0 605
45 M 2 2116
46 F 0 1393
47 M 0 1381
48 F 0 1843
49 F 1 1354
50 F 1 1144
51 F 0 0
52 M 0 1236
53 M 0 0
54 M 2 0
55 F 3 0
56 M 3 1442
57 F 0 885
58 M 0 1663
59 F 0 0
60 F 3 2493
61 M 3 1153
62 F 0 2517
63 M 1 0
64 F 1 716
65 M 0 1420
66 M 0 2289
67 F 1 2198
68 M 1 2517
69 M 2 1359
70 F 1 1650
71 M 0 861
72 M 0 1698
73 F 1 1439
74 M 0 1960
75 M 2 932
76 F 0 1521
77 F 2 1922
78 F 3 988
79 M 0 865
80 F 3 0
81 M 0 0
82 M 3 1144
83 F 3 0
84 F 1 0
85 M 2 1267
86 F 0 2430
87 M 0 2517
88 M 2 1880
89 M 0 1355
90 M 0 1597
91 F 0 477
92 F 1 1272
93 M 0 1788
94 M 0 2517
95 M 0 0
96 M 1 1607
97 F 0 2312
98 M 1 1573
99 F 3 1598
100 F 2 1251
101 M 2 795
102 F 3 890
103 M 3 1146
104 M 2 2049
105 M 0 2001
106 M 0 0
107 F 1 1465
108 M 0 0
109 F 0 545
110 F 1 0
111 F 0 1289
112 M 2 1928
113 F 0 193
114 F 0 0
115 M 0 0
116 M 2 1172
117 M 0 1799
118 M 0 2517
119 F 1 1777
120 F 0 0
121 F 1 1985
122 F 2 2090
123 M 3 1584
124 M 0 1740
125 F 0 2517
126 F 3 1656
127 F 3 0
128 F 0 2391
129 F 2 1848
130 M 1 0
131 M 1 0
132 M 0 1880
133 M 1 0
134 F 3 1489
135 M 0 543
136 M 0 1656
137 F 3 1589
138 F 0 2039
139 F 0 0
140 M 0 1467
141 F 2 1903
142 M 0 890
143 F 3 0
144 M 0 2008
145 F 3 1647
146 M 0 2033
147 M 0 0
148 M 0 2505
149 M 0 1363
150 M 0 1551
151 F 1 1506
152 F 1 2517
153 M 0 0
154 M 0 1757
155 M 0 1435
156 M 0 0
157 M 0 694
158 M 0 1729
159 M 1 900
160 M 0 0
161 F 0 0
162 F 1 1267
163 M 3 0
164 M 0 0
165 M 1 2365
166 F 0 1499
167 M 0 0
168 F 3 0
169 M 1 1236
170 M 0 0
171 M 1 2129
172 M 0 507
173 M 0 636
174 F 3 1366
175 M 1 1571
176 M 3 1030
177 M 2 2029
178 M 0 0
179 M 2 2517
180 F 0 1785
181 F 0 1924
182 M 1 2517
183 M 0 0
184 M 0 672
185 M 1 2514
186 M 0 715
187 M 0 2517
188 F 3 1246
189 F 1 1095
190 M 0 1961
191 F 3 0
192 F 1 460
193 F 1 1035
194 M 0 840
195 M 2 1817
196 M 1 984
197 F 3 524
198 F 0 0
199 M 0 891
200 M 0 0
201 M 0 1748
202 M 0 1508
203 M 0 0
204 M 3 0
205 M 1 1526
206 M 3 1796
207 M 0 2183
208 F 3 1701
209 F 3 2253
210 M 1 2084
211 M 0 1322
212 F 2 0
213 M 1 1049
214 M 0 2517
215 M 0 1696
216 F 0 2221
217 F 0 1120
218 F 0 0
219 M 0 1542
220 M 0 2252
221 F 3 0
222 F 1 1928
223 F 1 1129
224 F 1 0
225 M 0 1603
226 F 1 1470
227 F 1 1422
228 M 0 2517
229 M 3 778
230 M 0 1832
231 M 1 1351
232 M 1 0
233 M 0 0
234 M 1 1629
235 M 0 1548
236 F 3 1604
237 M 0 1654
238 M 1 1400
239 F 0 2023
240 F 3 0
241 M 0 2517
242 M 1 1116
243 M 0 789
244 M 0 1266
245 M 3 0
246 M 1 1031
247 M 0 0
248 M 0 1997
249 M 0 2319
250 M 1 1211
251 F 0 1157
252 F 0 2459
253 F 0 2049
254 F 0 2517
255 M 0 1643
256 F 1 0
257 M 0 1766
258 F 1 0
259 F 0 2376
260 M 0 0
261 M 0 836
262 F 1 2173
263 F 1 1394
264 M 2 1542
265 F 1 1285
266 M 0 0
267 M 0 1735
268 M 3 2517
269 F 1 2077
270 M 3 1217
271 M 1 651
272 F 1 1394
273 M 3 1337
274 M 0 1816
275 F 2 0
276 F 0 0
277 M 0 2480
278 M 3 2309
279 F 0 0
280 F 0 2145
281 F 0 859
282 F 1 0
283 F 1 1397
284 M 0 1254
285 M 0 1661
286 F 3 2168
287 F 1 1152
288 M 0 1233
289 F 1 1912
290 F 0 1665
291 M 0 1833
292 M 1 0
293 M 0 1170
294 M 3 0
295 M 0 926
296 M 1 1687
297 F 0 1496
298 M 0 1299
299 M 0 0
300 F 1 2517

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