In: Statistics and Probability
Below is a data set containing information on applicants applying for automobile insurance with an insurance company. Here is a description of each variable:
Conduct a test to see if the population average annual Claims Paid is higher for people who are Not Married thant it is for people who are Married. Use alpha = 0.05. State hypotheses. Explain your results. Assume that the population standard deviations are not equal.
App. No. | Marital Status | Education | Annual Salary | Credit Score | Age | Claims Paid |
111 | Married | Graduate | $57,497 | 824 | 58 | $4,247 |
112 | Not Married | Graduate | $52,418 | 701 | 39 | $2,862 |
113 | Not Married | College | $44,638 | 619 | 49 | $5,466 |
114 | Not Married | High School | $42,371 | 664 | 56 | $3,971 |
115 | Not Married | High School | $30,223 | 551 | 22 | $4,539 |
116 | Married | College | $51,969 | 768 | 46 | $4,980 |
117 | Married | College | $51,682 | 763 | 46 | $5,274 |
118 | Not Married | College | $53,657 | 797 | 58 | $10,123 |
119 | Married | Graduate | $50,297 | 671 | 33 | $4,145 |
120 | Not Married | High School | $22,975 | 349 | 19 | $4,625 |
121 | Not Married | High School | $40,837 | 711 | 43 | $5,180 |
122 | Not Married | High School | $28,822 | 527 | 24 | $8,953 |
123 | Not Married | High School | $34,002 | 568 | 20 | $5,599 |
124 | Not Married | High School | $34,167 | 641 | 21 | $3,213 |
125 | Not Married | College | $48,480 | 755 | 48 | $4,859 |
126 | Married | College | $36,426 | 512 | 24 | $4,580 |
127 | Not Married | High School | $24,768 | 440 | 21 | $15,283 |
128 | Married | High School | $43,367 | 726 | 35 | $3,792 |
129 | Not Married | High School | $37,695 | 570 | 53 | $8,728 |
130 | Married | College | $38,087 | 551 | 24 | $3,168 |
131 | Not Married | College | $37,149 | 532 | 52 | $5,824 |
132 | Not Married | High School | $38,059 | 641 | 22 | $13,839 |
133 | Not Married | High School | $41,545 | 645 | 54 | $17,849 |
134 | Married | College | $38,471 | 514 | 41 | $4,990 |
135 | Married | High School | $38,213 | 611 | 37 | $9,609 |
136 | Married | College | $40,689 | 598 | 26 | $4,201 |
137 | Married | Graduate | $47,336 | 626 | 25 | $3,970 |
138 | Not Married | College | $40,150 | 639 | 24 | $4,041 |
139 | Married | High School | $36,112 | 598 | 23 | $4,951 |
140 | Married | Graduate | $48,299 | 596 | 54 | $5,516 |
141 | Married | College | $46,125 | 671 | 40 | $5,180 |
142 | Married | High School | $39,119 | 628 | 40 | $5,112 |
143 | Not Married | High School | $39,084 | 676 | 46 | $4,508 |
144 | Not Married | High School | $33,911 | 628 | 20 | $4,637 |
145 | Not Married | High School | $48,417 | 797 | 53 | $12,654 |
146 | Married | High School | $43,448 | 710 | 41 | $3,351 |
147 | Not Married | Graduate | $47,798 | 694 | 26 | $11,624 |
148 | Not Married | Graduate | $51,510 | 738 | 46 | $10,998 |
149 | Not Married | College | $36,800 | 510 | 26 | $4,129 |
150 | Not Married | High School | $34,125 | 558 | 53 | $4,771 |
151 | Married | College | $50,500 | 757 | 45 | $6,042 |
152 | Not Married | College | $39,523 | 619 | 27 | $7,294 |
153 | Not Married | High School | $22,231 | 333 | 17 | $6,486 |
154 | Married | Graduate | $43,892 | 526 | 41 | $2,805 |
155 | Married | High School | $33,406 | 538 | 26 | $5,316 |
156 | Married | College | $50,224 | 739 | 43 | $5,951 |
157 | Married | Graduate | $57,384 | 777 | 48 | $7,009 |
158 | Not Married | Graduate | $40,322 | 544 | 31 | $4,856 |
159 | Not Married | High School | $28,477 | 520 | 22 | $9,060 |
160 | Married | Graduate | $58,340 | 790 | 50 | $4,161 |
161 | Not Married | High School | $21,009 | 317 | 43 | $5,295 |
162 | Married | College | $52,491 | 766 | 52 | $4,365 |
163 | Not Married | College | $40,004 | 622 | 39 | $9,998 |
164 | Not Married | Graduate | $32,482 | 368 | 32 | $7,556 |
165 | Not Married | High School | $31,212 | 571 | 24 | $5,274 |
166 | Married | College | $45,131 | 646 | 43 | $4,918 |
167 | Married | College | $43,538 | 662 | 52 | $4,725 |
168 | Not Married | College | $49,627 | 736 | 44 | $3,974 |
169 | Not Married | High School | $38,093 | 638 | 24 | $5,597 |
170 | Not Married | Graduate | $44,583 | 614 | 30 | $5,490 |
171 | Not Married | College | $46,181 | 661 | 43 | $9,882 |
172 | Not Married | Graduate | $47,095 | 661 | 36 | $11,059 |
173 | Not Married | High School | $27,879 | 501 | 20 | $4,563 |
174 | Married | College | $36,408 | 531 | 48 | $4,841 |
175 | Married | Graduate | $54,540 | 723 | 46 | $4,950 |
176 | Married | Graduate | $55,175 | 733 | 50 | $4,899 |
177 | Not Married | College | $26,034 | 343 | 37 | $5,494 |
178 | Married | College | $42,516 | 624 | 31 | $3,393 |
179 | Married | College | $49,063 | 738 | 38 | $4,116 |
180 | Married | College | $48,755 | 709 | 44 | $9,381 |
181 | Not Married | College | $40,594 | 520 | 56 | $5,333 |
182 | Not Married | High School | $34,083 | 573 | 23 | $5,441 |
183 | Married | College | $39,330 | 625 | 27 | $4,509 |
184 | Not Married | College | $41,266 | 583 | 32 | $4,950 |
185 | Not Married | College | $39,517 | 538 | 37 | $5,593 |
186 | Not Married | Graduate | $46,392 | 555 | 53 | $11,056 |
187 | Married | High School | $36,613 | 610 | 26 | $5,933 |
188 | Married | College | $44,291 | 651 | 32 | $5,295 |
189 | Not Married | College | $43,511 | 639 | 29 | $4,375 |
190 | Married | College | $46,389 | 671 | 46 | $3,729 |
191 | Married | College | $40,624 | 565 | 36 | $9,326 |
192 | Married | High School | $39,490 | 713 | 35 | $4,399 |
193 | Married | College | $48,703 | 779 | 47 | $5,628 |
194 | Married | High School | $33,310 | 580 | 35 | $4,998 |
195 | Not Married | High School | $33,913 | 565 | 20 | $5,597 |
196 | Not Married | High School | $31,408 | 519 | 21 | $4,597 |
197 | Not Married | Graduate | $45,072 | 640 | 22 | $4,951 |
198 | Not Married | College | $51,427 | 819 | 51 | $4,980 |
199 | Married | College | $44,637 | 659 | 30 | $6,433 |
200 | Married | College | $49,429 | 744 | 36 | $5,199 |