Question: Consider the attached data set with a sample of college and their tuition rates. Calculate the lower end of a 95%confidence interval on the mean
Consider the attached data set with a sample of college and their tuition rates. Calculate the lower end of a 95%confidence interval on the mean of in state tuition. Enter your answer as a whole number.
| College Name | State | Public (1)/ Private (2) | in-state tuition | out-of-state tuition |
| Talladega College | AL | 2 | 5666 | 5666 |
| University of Alabama at Tuscaloosa | AL | 1 | 2172 | 5424 |
| California State Univ. at Hayward | CA | 1 | 1432 | 8803 |
| California State Univ. at Los Angeles | CA | 1 | 1788 | 7454 |
| California Polytechnic-San Luis | CA | 1 | 2033 | 7380 |
| Chapman University | CA | 2 | 16624 | 16624 |
| Harvey Mudd College | CA | 2 | 17230 | 17230 |
| Scripps College | CA | 2 | 17238 | 17238 |
| Whittier College | CA | 2 | 16249 | 16249 |
| Woodbury University | CA | 2 | 13020 | 13020 |
| University of Judaism | CA | 2 | 10560 | 10560 |
| Concordia University | CA | 2 | 10800 | 10800 |
| University of Northern Colorado | CO | 1 | 1829 | 7731 |
| Colorado State University | CO | 1 | 2124 | 8412 |
| Fort Lewis College | CO | 1 | 1450 | 6198 |
| Teikyo Post University | CT | 2 | 11300 | 11300 |
| University of Connecticut at Storrs | CT | 1 | 3824 | 11656 |
| American University | DC | 2 | 15934 | 15934 |
| Catholic University of America | DC | 2 | 13712 | 13712 |
| University of West Florida | FL | 1 | 1597 | 6172 |
| Florida International University | FL | 1 | 1695 | 6597 |
| Berry College | GA | 2 | 8050 | 8050 |
| College of Saint Francis | IL | 2 | 9810 | 9810 |
| Roosevelt University | IL | 2 | 8580 | 8580 |
| Southern Illinois University at Edwardsville | IL | 1 | 1824 | 5472 |
| Saint Joseph's College | IN | 2 | 11200 | 11200 |
| University of Notre Dame | IN | 2 | 16850 | 16850 |
| Baker University | KS | 2 | 8620 | 8620 |
| Southwestern College | KS | 2 | 7200 | 7200 |
| Lindsey Wilson College | KY | 2 | 6600 | 6600 |
| Thomas More College | KY | 2 | 9490 | 9490 |
| Centenary College of Louisiana | LA | 2 | 8950 | 8950 |
| Dillard University | LA | 2 | 6700 | 6700 |
| Xavier University of Louisiana | LA | 2 | 6900 | 6900 |
| Boston College | MA | 2 | 16640 | 16640 |
| University of Massachusetts at Dartmouth | MA | 1 | 1836 | 6919 |
| Springfield College | MA | 2 | 9438 | 9438 |
| Williams College | MA | 2 | 19629 | 19629 |
| Johns Hopkins University | MD | 2 | 18800 | 18800 |
| Andrews University | MI | 2 | 9996 | 9996 |
| Hope College | MI | 2 | 12275 | 12275 |
| Northern Michigan University | MI | 1 | 2076 | 3880 |
| Olivet College | MI | 2 | 10500 | 10500 |
| Macalester College | MN | 2 | 15909 | 15909 |
| Saint Olaf College | MN | 2 | 14350 | 14350 |
| Culver-Stockton College | MO | 2 | 8000 | 8000 |
| Kansas City Art Institute | MO | 2 | 6572 | 6572 |
| Park College | MO | 2 | 3750 | 3750 |
| University of Missouri at Rolla | MO | 1 | 3030 | 9057 |
| Westminster College | MO | 2 | 10720 | 10720 |
| Mississippi State University | MS | 1 | 4946 | 9866 |
| University of Southern Mississippi | MS | 1 | 2392 | 4652 |
| North Carolina A. & T. State University | NC | 1 | 740 | 6806 |
| Catawba College | NC | 2 | 9270 | 9270 |
| Mars Hill College | NC | 2 | 6950 | 6950 |
| Shaw University | NC | 2 | 9192 | 9192 |
| University of North Dakota | ND | 1 | 2110 | 5634 |
| University of Nebraska at Kearney | NE | 1 | 1665 | 2550 |
| Peru State College | NE | 1 | 1432 | 2580 |
| Bellevue University | NE | 2 | 3150 | 3150 |
| Plymouth State College | NH | 1 | 2590 | 7870 |
| Rutgers State University at Camden | NJ | 1 | 3641 | 7411 |
| Canisius College | NY | 2 | 10750 | 10750 |
| College of New Rochelle | NY | 2 | 10200 | 10200 |
| College of Saint Rose | NY | 2 | 9990 | 9990 |
| Elmira College | NY | 2 | 14990 | 14990 |
| Hartwick College | NY | 2 | 17480 | 17480 |
| Syracuse University | NY | 2 | 15150 | 15150 |
| CUNY- Baruch College | NY | 1 | 2450 | 5050 |
| Cleveland State University | OH | 1 | 3231 | 6462 |
| University of Dayton | OH | 2 | 11380 | 11380 |
| Urbana University | OH | 2 | 8468 | 8468 |
| Oklahoma Christian University | OK | 2 | 6400 | 6400 |
| Southeastern Oklahoma State Univ. | OK | 1 | 1500 | 3738 |
| Western Baptist College | OR | 2 | 9200 | 9200 |
| Oregon Institute of Technology | OR | 1 | 2904 | 8676 |
| Delaware Valley College | PA | 2 | 11645 | 11645 |
| Holy Family College | PA | 2 | 8800 | 8800 |
| Lycoming College | PA | 2 | 13900 | 13900 |
| Swarthmore College | PA | 2 | 19124 | 19124 |
| Bryant College | RI | 2 | 12600 | 12600 |
| Rhode Island College | RI | 1 | 2370 | 6694 |
| College of Charleston | SC | 1 | 3060 | 6120 |
| Erskine College | SC | 2 | 10485 | 10485 |
| Presbyterian College | SC | 2 | 11859 | 11859 |
| Coastal Carolina University | SC | 1 | 2710 | 7000 |
| Francis Marion University | SC | 1 | 2920 | 5840 |
| Huron University | SD | 2 | 7260 | 7260 |
| South Dakota School of Mines and Tech. | SD | 1 | 1364 | 3573 |
| Tennessee Technological University | TN | 1 | 1740 | 4025 |
| Abilene Christian University | TX | 2 | 7440 | 7440 |
| Southwestern Adventist College | TX | 2 | 7536 | 7536 |
| University of Houston-Main Campus | TX | 1 | 672 | 4104 |
| Utah State University | UT | 1 | 1650 | 5775 |
| Radford University | VA | 1 | 2924 | 6684 |
| University of Richmond | VA | 2 | 14500 | 14500 |
| St. Martin's College | WA | 2 | 11550 | 11550 |
| Western Washington University | WA | 1 | 2406 | 8124 |
| Carthage College | WI | 2 | 13125 | 13125 |
| Marshall University | WV | 2 | 1660 | 5094 |
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