Body mass index measurements of adults are normally distributed with a mean of 26 and a standard deviation of 5 (based on Data Set 1 in Appendix B). Is a body mass index of 40 an outlier? Why or why not?

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Data Set 1: Health Exam Results AGE is in years, HT is height (inches), WT is weight (pounds), WAIST is circumference (cm), Pulse is pulse rate (beats per minute), SYS is sys- tolic blood pressure (mm Hg), DIAS is diastolic blood pressure (mm Hg), CHOL is cholesterol (mg), BMI is body mass index, Leg is upper leg length (cm), Elbow is elbow breadth (cm), Wrist is wrist breadth (cm), and Arm is arm circumfer- ence (cm). Data are from the U.S. Department of Health and Human Services, National Center for Health Statistics, Third National Health and Nutrition Examination Survey. Male Age HT WT Waist Pulse SYS DIAS 64 107 54 58 70.8 169.1 90.6 68 125 78 22 66.2 144.2 78.1 32 71.7 179.3 96.5 88 126 87.7 72 87.1 31 68.7 175.8 28 67.6 152.6 46 69.2 166.8 92.4 72 107 41 66.5 135.0 60 113 78.8 56 67.2 201.5 103.3 76 20 68.3 175.2 89.1 54 65.6 139.0 82.5 17 63.0 156.3 86.7 96 60 73 68.3 186.6 103.3 52 73.1 191.1 91.8 25 67.6 151.3 75.6 29 68.0 209.4 17 71.0 237.1 41 61.3 52 76.2 220.6 110 64 110 88 126 137 34 42 18 44 20 66.3 151.0 79.9 110 72 153 56 64 105.5 60 108.7 64 125 109 97.1 68.0 161.9 86.9 60 112 119 176.7 104.0 84 131 113 103.0 76 121 32 66.3 166.1 91.3 20 69.7 137.4 75.2 20 65.4 164.2 87.7 29 70.0 162.4 18 77.0 85.0 68 79.6 64 68.3 204.6 103.8 62.9 151.8 68.5 144.1 26 33 55 69.4 193.8 103.0 53 69.2 172.9 28 28 37 66.1 169.8 91.5 84 40 72.4 213.3 102.9 72 127 33 73.0 198.0 93.1 84 132 26 68.0 173.3 98.9 88 116 53 68.7 214.5 107.5 56 125 36 70.3 137.1 81.6 112 64 63.7 119.5 75.7 56 125 71.1 189.1 95.0 65.6 164.7 91.1 68.3 170.1 94.9 56 120 60 118 84 132 88 72 56 116 112 121 95 110 131 71.9 174.8 88.0 56 109 112 64 115 72 115 8866 85 172 85 765幻78276 80 75465458 70 66829694924日84刀刀368565 60 110 68 125 60 124 79 CHOL 522 127 740 49 230 316 590 466 121 71 578 81 83 81 STATDISK: Minitab: Worksheet name for males is MHEALTH.MTW. Workbook name for males is MHEALTH.XLS. TI-83/84 Plus: App name for male data Excel: is MHEALTH and the file names are the same as for text files. MAGE, MHT, MWT, MWAST, MPULS, MSYS, MDIAS, MCHOL, MBMI, MLEG, MELBW, MWRST, MARM. Text file names for males: 77 80 75 75 81 138 139 638 78 265 250 265 273 272 972 75 613 762 303 690 30.9 46.0 31 28.3 41.4 189 25.5 42.7 957 24.6 40.5 23.8 27.4 339 44.2 416 79 72 120 74 702 81 1252 288 176 77 277 649 68 113 656 Data set name for males is Mhealth. 172 Leg Elbow Wrist Arm 6.4 31.9 6.2 31.0 5.8 32.7 5.9 33.4 6.0 5.8 5.2 5.6 5.5 BMI 23.8 42.5 7.7 23.2 40.2 7.6 24.6 44.4 7.3 26.2 42.8 7.5 7.1 23.5 40.0 24.5 47.3 7.1 21.5 43.4 6.5 31.4 40.1 7.5 26.4 42.1 7.5 36.0 6.9 22.7 27.8 44.2 7.1 28.1 36.7 8.1 25.2 48.4 23.3 41.0 8.0 7.0 31.9 39.8 6.9 33.1 45.2 8.3 33.2 40.2 6.7 26.7 46.2 7.9 26.6 39.0 19.9 44.8 6.9 27.1 40.9 7.0 23.4 43.1 7.5 27.0 38.0 7.4 21.6 41.0 6.8 7.4 7.2 6.6 7.3 7.8 41.8 7.0 28.7 47.2 7.5 7.8 26.2 48.2 26.4 42.9 6.7 32.1 42.8 8.2 19.6 40.8 7.1 20.7 42.6 6.6 26.3 44.9 26.9 41.1 25.6 24.2 7.4 7.0 44.5 7.3 44.0 7.1 5.5 5.3 6.7 5.2 5.7 6.0 6.6 5.7 6.0 30.1 30.5 27.6 38.0 32.0 5.7 6.1 6.0 29.3 31.7 30.7 34.7 30.6 34.2 41.1 33.1 32.2 31.2 25.9 7.5 5.7 5.6 5.6 33.7 5.2 30.3 5.8 32.8 31.0 36.2 33.6 5.9 31.9 5.7 32.9 6.0 30.9 6.1 34.0 5.9 34.8 33.6 31.3 37.6 27.9 6.0 5.8 5.9 5.3 5.3 6.0 6.1 5.8 5.4 30.7 26.9 36.9 34.5 32.1 Data Set 1: Health Exam Results (continued) STATDISK: Minitab: Excel: TI-83/84 Plus: Text file names for females: Data set name for females is Fhealth. Worksheet name for females is FHEALTH.MTW. Workbook name for females is FHEALTH.XLS. App name for female data is FHEALTH and the file names are the same as for text files. FAGE, FHT, FWT, FWAST, FPULS, FSYS, FDIAS, FCHOL, FBMI, FLEG, FELBW, FWRST, FARM. Female Age HT WT Waist Pulse SYS DIAS 76 104 61 72 99 64 88 102 65 114 76 58 17 64.3 114.8 67.2 32 66.4 149.3 82.5 25 62.3 107.8 66.7 55 62.3 160.1 59.6 127.1 63.6 123.1 27 29 25 59.8 111.7 12 63.3 156.3 41 67.9 32 61.4 93.0 60 82.6 31 66.7 19 64.8 105.4 19 63.1 136.1 23 75.4 73.6 81.4 72 68 80 64 68 68 94 101 108 218.8 99.4 110.2 67.7 188.3 100.7 80 72.9 76 85.0 68 107 104 123 93 104 88 89 112 66.7 182.4 85.7 72 116 40 66.8 238.4 126.0 96 181 23 64.7 108.8 74.5 72 98 27 65.1 45 119.0 74.5 68 100 161.9 94.0 72 127 64 107 61.9 41 64.3 174.1 56 63.4 22 60.7 124.3 92.8 181.2 105.5 75.5 57 63.4 255.9 126.5 24 62.6 106.7 70.0 98.0 104.7 67.8 99.3 91.1 37 60.6 149.9 59 63.5 163.1 40 58.6 94.3 45 60.2 159.7 52 67.6 162.8 31 63.4 130.0 32 64.1 179.9 23 62.7 147.8 23 61.3 47 58.2 195.6 105.5 88 74.5 60 95.5 79.5 112.9 69.1 36 63.2 124.2 34 60.5 135.0 85,7 60 125 37 65.0 141.4 92.8 72 124 88 29 68.0 135.5 75.9 88 18 61.8 123.9 72.7 92 48 67.0 130.4 68.6 124 116 76 107 95 72 72 108 114 78.8 80 104 119 93 66 61 16 57.0 100.7 68.7 64 106 472 d6624862 102034的不能 41 61 67 71 318 80 64 97 64 80 85 325 155 600 76 106 59 237 76 110 70 173 69 309 76 105 80 118 82 133 83 113 75 113 56 61 53 74 66 CHOL 264 181 267 384 98 62 2及33856剖464 280 254 123 67 596 59 301 72 223 79 293 73 146 73 149 149 920 81 126 27.5 41.0 89 531 33.5 43.8 130 20.6 37.3 29.9 42.3 175 44 17.7 39.1 24.0 40.3 8 112 462 28.9 48.6 7.2 37.7 33.2 7.0 62 98 447 125 BMI Leg Elbow Wrist Arm 4.6 23.6 5.5 26.3 19.6 41.6 6.0 23.8 42.8 6.7 19.6 39.0 5.7 29.1 40.2 6.2 25.2 36.2 5.5 4.6 26.3 5.0 32.6 4.8 29.2 21.4 43.2 6.0 4.9 26.4 22.0 38.7 5.7 5.1 27.9 6.8 5.5 33.0 7.8 5.8 271 207 2 29.8 40.0 6.8 29.7 38.2 6.8 31.7 38.2 6.9 23.8 38.2 5.9 8.0 44.9 41.0 19.2 38.1 6.1 7.0 28.7 38.0 28.5 36.0 32.1 31.1 94 19.3 31.0 18.3 43.4 6.2 5.2 19.8 41.5 6.3 6.3 6.6 5.7 6.6 6.7 5.4 6.4 25.1 7.1 22.8 5.9 30.9 39.2 6.2 26.5 39.0 6.3 21.2 36.6 40.6 27.0 21.9 38.5 26.0 39.9 6.4 39.4 40.2 23.5 37.5 39.7 22.8 20.7 20.5 5.9 7.5 5.6 6.1 5.8 5.0 5.2 4.8 5.1 39.0 6.3 41.6 6.0 21.9 33.8 5.6 5.6 34.0 5.4 35.2 24.7 5.3 5.0 4.7 5.4 5.0 5.6 5.0 5.1 5.1 4.2 5.2 5.3 5.1 5.0 4.9 4.7 5.5 4.7 38.6 26.5 34.4 23.7 28.4 5.2 4.8 5.0 4.9 5.3 4.6 27.0 35.0 33.1 39.6 27.0 43.8 23.6 34.3 34.4 23.3 35.6 31.8 27.0 32.8 31.0 27.0 41.2 25.5 30.9 27.9 26.5 27.8 23.0 26.4