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n xbar s se 1-(alpha/2) t LB UB Many of leading companies are based on technologies developed within universities. Lisa Fisher is a business school professor who believes that a university’s research expenditure (Research in $ millions) and the age of its technology transfer office (Duration in years) are major factors that enhance innovation. She wants to know what the average values are for the Research and the Duration variables. She collects data from 143 universities on these variables. The data set is shown in the following table: a. Construct and interpret the 95% confidence interval for the mean research expenditure of all universities. LB UB b. Construct and interpret the 95% confidence interval for the mean duration of all universities. LB UB Name of Institution Startups Research Albert Einstein College of 1Med/Yeshiva 145.5236 Univ. Arizona State Univ. 1 237.5212 Auburn Univ. 1 146.9840 Baylor College of Medicine1 304.2250 Boston Univ./Boston Medical 12 Ctr. 343.4238 Bowling Green State Univ.0 10.7120 Brigham Young Univ. 9 26.3600 Calpoly State Univ, SLO 0 14.8700 Carnegie Mellon Univ. 10 229.2800 Clemnson Univ. 3 139.2837 Colorado State Univ. 3 302.6129 Columbia Univ. 10 640.0000 Cornell Research Fdn., Inc.5 668.2275 Dartmouth College 1 174.1091 Drexel Univ. 4 102.2090 Duke Univ. 7 678.1842 Duquesne Univ. 0 13.2000 East Carolina Univ. 1 16.1920 Eastern Virginia Medical School 0 30.7770 Emory Univ. 3 390.9652 Florida Atlantic Univ. 0 43.2491 Florida State Univ. 3 206.5418 George Mason Univ. 5 79.8832 Georgetown Univ. 0 144.9570 Georgia Inst. Of Technology 9 536.4125 Harvard univ. 12 660.0815 Indiana Univ. (ARTI) 2 404.6215 Iowa State Univ. 2 251.6740 Johns Hopkins Univ. 12 1183.7680 Johns Hopkins Univ. Applied 1 Physics 819.2889 Laboratory Kansas State Univ. Research 3 Fdn. 95.8786 Patents 8 16 12 11 9 0 3 0 21 15 9 59 54 13 8 32 1 4 3 3 2 11 5 12 46 55 8 27 45 23 5 Duration 23 23 20 25 32 7 22 8 16 21 38 26 29 23 13 22 9 13 9 23 12 12 12 15 18 31 17 73 35 9 66 Research Duration Kent State Univ. 0 18.4444 Louisiana State Univ. System 2 391.7670 Louisiana Tech Univ. 1 19.4060 Massachusetts Inst. Of Technology 20 (MIT) 1319.0000 Medical College of Georgia0 Research57.0852 Inst. Medical College of Wisconsin 1 Research 134.2000 Fndtn Medical Univ. of South Carolina 2 161.1623 Michigan State Univ. 3 356.7670 Michigan Technological Univ. 2 60.3560 Mississippi State Univ. 4 210.9510 Montana State Univ. 2 96.1506 Mount Sinai School of Medicine 0 of NYU 296.3800 New Jersey Inst. Of Technology 0 89.7920 New Mexico State Univ. 0 120.3234 New York Univ. 6 310.6990 North Carolina State Univ.5 366.1370 North Dakota State Univ. 0 115.5130 Northeastern Univ. 2 56.7275 Ohio State Univ. 5 702.5635 Ohio Univ. 3 25.9776 Oklahoma State Univ. 2 138.7592 Oregona Health & Science4Univ. 279.8494 Oregon State Univ. 1 188.0560 Penn State Univ. 1 717.2440 Portland State Univ. 0 40.1469 Purdue Research Fdn. 11 495.0990 Rensselaer Polytechnic Inst. 1 63.1974 Research Foundation of SUNY 10 784.3243 Rice Univ. 2 83.5624 Rutgers, The State Univ. of2 NJ 323.4040 San Diego State Univ. 0 106.8504 Stanford Univ. 9 694.2175 Stevens Inst. Of Technology 2 29.1348 Temple Univ. 0 150.3760 Texas A&M Univ. System 1 582.3650 The UAB Research Fdn. 1 404.6150 Thomas Jefferson Univ. 0 94.0318 Tufts Univ. 2 151.0077 Tulane Univ. 1 146.8751 Univ. of Akron 5 49.5978 Univ. of Alabama 3 32.8460 Univ. of Alabama in Huntsville 10 65.3200 Univ. of Arizona 6 547.1974 Univ. of Arkansas for Medical 0 Sciences 115.5379 8 25 6 140 1 4 0 48 8 7 9 13 11 1 30 37 9 3 15 5 4 13 11 38 2 24 20 44 34 36 1 132 3 4 28 10 5 8 5 4 4 1 19 10 19 22 8 68 7 24 14 16 20 13 28 17 18 18 19 24 13 8 18 17 13 19 28 19 3 20 15 29 10 19 11 38 8 19 16 21 24 30 23 13 2 9 20 14 Univ. of Arkansas, Fayetteville 1 110.8750 Univ. of California System55 4403.6620 Univ. of Central Florida 2 108.0000 Univ. of Chicago/UC Tech 0 317.5155 Univ. of Cincinnati 0 211.3931 Univ. of Colorado 11 661.0000 Univ. of Connecticut 3 161.3362 Univ. of Delaware 0 166.3700 Univ. of Florida 14 483.7980 Univ. of Georgia 2 350.2990 Univ. of Hawaii 0 211.7782 Univ. of Houston 1 84.4900 Univ. of Idaho 0 81.5322 Univ. of Illinois, Chicago, Urbana 11 830.7790 Univ. of Iowa Research Fdn. 0 293.5640 Univ. of Kansas 2 197.7970 Univ. of Kentucky Research 8 Fdn. 242.9660 Univ. of Louisville 3 164.1230 Univ. of Maryland Biotechnology 0 Inst. 43.2130 Univ. of Maryland, Baltimore 2 377.4180 Univ. of Maryland, Baltimore 0 Country66.8014 Univ. of Maryland, College3Park 346.3693 Univ. of Massachusetts 2 435.2470 Univ. of Miami 0 325.3000 Univ. Of Michigan 13 875.7535 Univ. Of Minnesota 1 583.5240 Univ. of Mississippi 3 54.7090 Univ. of Missouri, all campuses 6 354.7636 Univ. of Nebraska 3 342.6482 Univ. of New Hampshire 0 98.8208 Univ. of New Mexico/Sci. & 6 Tech. Corp. 197.6285 Univ. of North Carolina at 2Greensboro 33.1258 Univ. of North Carolina, Chapel 5 Hill 619.6000 Univ. of North Carolina, Charlotte 3 29.8081 Univ. of North Texas Health 0 Science Ctr. 31.8954 Univ. of Notre Dame 0 103.3000 Univ. of Oklahoma, All Campuses 1 158.9638 Univ. of Oregon 0 101.3423 Univ. of Pennsylvania 2 667.3547 Univ. of Pittsburgh 3 641.6260 Univ. of Rochester 6 361.6022 Univ. of South Alabama 0 28.0793 Univ. of South Carolina 5 185.1979 Univ. of South Dakota 0 22.7420 4 224 57 29 8 28 23 12 52 33 11 5 2 55 24 4 15 6 7 13 9 23 25 4 75 37 6 20 13 5 11 2 17 6 2 4 18 4 44 36 25 2 5 0 18 29 23 22 25 15 21 11 25 29 21 12 22 27 33 14 24 12 8 19 14 21 14 19 26 51 16 21 16 11 13 6 23 15 9 9 24 16 22 16 28 13 15 2 Univ. of South Florida 5 298.5000 Univ. of Southern California 5 484.6000 Univ. of Tennessee 2 246.3971 Univ. of Texas at Austin 10 527.1413 Univ. of Texas Health Science 2 Ctr., Houston 197.2517 Univ. of Texas Health Science 0 Ctr., San 201.3230 Antonio Univ. of Texas Medical Branch 2 153.4613 Univ. of Texas Southwestern 2 Med. Ctr. 377.1696 Univ. of Texas, Arlington 2 66.6105 Univ. of Toledo 3 59.5830 Univ. of Utah 20 273.0059 Univ. of Vermont 5 90.6422 Univ. of Virginia Patent Fdn. 2 257.6510 Univ. of Washington/Wash. 9 Res. Fdn.1026.7885 Univ. of West Florida 0 14.4730 Utah State Univ. 0 148.2570 Vanderbilt Univ. 4 444.3325 Virginia Commonwealth Univ. 3 148.6550 Virginia Tech Intellectual Properties, 3 199.6359 Inc. W.A.R.F./Univ. of Wisconsin 6 Madison942.0000 Wake Forest Univ. 2 148.6864 Washington State Univ. Research 2 Fdn. 140.8622 Wayne State Univ. 1 249.2100 West Virginia Univ. 1 154.3820 31 41 15 25 3 6 10 15 8 5 33 5 12 56 0 6 16 6 23 98 10 6 7 3 18 37 25 17 23 18 20 18 9 14 40 10 31 25 1 21 18 14 23 83 23 69 20 9 her is a business ns) and the age of She wants to know rom 143 universities f all universities. n xbar s se t LB UB n p se alpha/2 1-(alpha/2) LB UB: LB: NORM.INV(1-(alpha/2),p,SQRT((p*(1-p))/n)) NORM.INV(alpha/2,p,SQRT((p*(1-p))/n)) UB
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