Question: A simple random sample of 40 men results in a standard deviation of 11.3 beats per minute (based on Data Set 1 in Appendix B).
A simple random sample of 40 men results in a standard deviation of 11.3 beats per minute (based on Data Set 1 in Appendix B). The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation greater than 10 beats per minute.


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. 58 70.8 169.1 90.6 68 125 22 66.2 144.2 78.1 64 107 71.7 179.3 96.5 88 126 32 31 68.7 175.8 87.7 28 67.6 152.6 87.1 46 69.2 166.8 92.4 41 66.5 135.0 Male Age HT WT Waist Pulse SYS DIAS CHOL BMI 54 65.6 139.0 82.5 17 63.0 156.3 86.7 73 68.3 186.6 103.3 52 73.1 191.1 91.8 25 67.6 151.3 75.6 56 67.2 201.5 103.3 88 20 68.3 175.2 89.1 76 60 3263367442184 20 75.2 20 65.4 164.2 87.7 29 70.0 162.4 77.0 18 62.9 151.8 26 68.5 144.1 68.0 173.3 214.5 70.3 137.1 63.7 119.5 71.1 189.1 65.6 164.7 68.3 170.1 72 110 78.8 60 105.5 108.7 104.0 53 68.7 64 110 66.3 151.0 72 107 96 72 113 29 68.0 209.4 17 71.0 237.1 41 61.3 176.7 52 76.2 220.6 103.0 76 121 32 66.3 166.1 20 69.7 137.4 126 137 110 109 153 56 112 64 119 60 113 64 84 131 60 64 72 125 91.3 84 132 88 72 56 116 33 68.3 204.6 103.8 60 110 55 69.4 193.8 103.0 68 125 53 69.2 172.9 97.1 60 124 28 68.0 161.9 86.9 60 28 71.9 174.8 88.0 56 109 37 66.1 169.8 91.5 84 40 72.4 213.3 102.9 33 73.0 198.0 72 127 93.1 84 132 98.9 88 116 107.5 56 125 112 121 85.0 68 79.6 64 110 95 131 112 81.6 64 75.7 95.0 56 120 91.1 94.9 79.9 112 56 125 118 115 115 78468651728576578275 80 584 654 58 70 668279 89479724547756875 65 83 75 81 44 STATDISK: Data set name for males is Mhealth. Minitab: Worksheet name for males is MHEALTH.MTW. Workbook name for males is MHEALTH.XLS. Excel: TI-83/84 Plus: App name for male data 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: 83 522 127 740 49 230 316 590 466 265 121 578 78 265 28.1 250 25.2 48.4 23.3 41.0 273 272 972 75 138 139 638 613 762 303 690 31 277 649 68 113 Leg Elbow Wrist Arm 23.8 42.5 7.7 23.2 40.2 7.6 24.6 44.4 7.3 42.8 7.5 26.2 23.5 40.0 7.1 24.5 7.1 47.3 21.5 43.4 6.5 7.5 31.4 40.1 26.4 42.1 22.7 36.0 27.8 44.2 36.7 20.7 26.3 26.9 656 25.6 172 24.2 7.5 6.9 7.1 8.1 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 7.5 44.8 6.9 19.9 27.1 23.4 43.1 27.0 38.0 21.6 41.0 30.9 46.0 28.3 41.4 6.6 189 25.5 42.7 957 24.6 40.5 7.3 339 23.8 44.2 7.8 416 27.4 41.8 7.0 120 28.7 47.2 702 26.2 7.5 48.2 7.8 81 1252 26.4 42.9 6.7 288 32.1 42.8 19.6 40.8 8.2 176 40.9 7.0 7.5 7.4 6.8 7.4 7.2 7.1 6.6 42.6 44.9 7.4 41.1 7.0 44.5 7.3 44.0 7.1 6.4 6.2 5.8 5.9 6.0 5.8 5.2 5.6 5.5 5.5 5.3 6.7 5.2 5.7 6.0 6.6 5.7 31.9 31.0 32.7 33.4 30.1 30.5 27.6 38.0 32.0 29.3 31.7 30.7 6.0 5.7 5.6 5.6 33.7 5.2 30.3 5.8 5.7 6.1 34.7 30.6 34.2 41.1 33.1 32.2 31.2 25.9 32.8 31.0 36.2 6.0 33.6 5.9 31.9 5.7 32.9 6.0 30.9 6.1 34.0 5.9 6.0 5.8 5.3 5.3 6.0 6.1 5.8 5.4 5.9 37.6 27.9 34.8 33.6 31.3 26.9 36.9 34.5 32.1 30.7 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 72 99 17 64.3 114.8 67.2 32 66.4 149.3 82.5 25 62.3 107.8 66.7 88 102 55 62.3 160.1 93.0 60 114 27 59.6 127.1 82.6 72 94 29 63.6 123.1 75.4 68 101 25 59.8 111.7 73.6 80 108 12 63.3 156.3 81.4 64 104 41 67.9 218.8 99.4 68 123 68 93 80 89 112 107 72 116 96 181 72 98 68 100 72 127 64 80 64 32 61.4 110.2 67.7 31 66.7 188.3 100.7 19 64.8 105.4 19 63.1 136.1 23 66.7 182.4 40 66.8 238.4 23 64.7 108.8 27 65.1 45 61.9 41 64.3 56 63.4 22 60.7 124.3 57 63.4 255.9 24 62.6 106.7 37 60.6 149.9 59 63.5 163.1 40 58.6 94.3 72.9 85.0 85.7 126.0 74.5 119.0 74.5 161.9 94.0 174.1 92.8 181.2 105.5 75.5 126.5 70.0 98.0 104.7 67.8 99.3 91.1 34 37 18 29 48 67.0 130.4 74.5 95.5 79.5 76 68 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 61.3 112.9 69.1 47 58.2 195.6 105.5 88 36 63.2 124.2 80 76 76 76 80 68.0 135.5 75.9 68.6 104 88 107 116 97 155 106 110 105 118 133 72 108 114 78.8 60.5 135.0 85.7 60 125 65.0 141.4 92.8 61.8 123.9 72.7 80 104 72 124 88 92 88 119 124 93 61 64 16 57.0 100.7 68.7 64 106 65 76 384 58 98 62 66 61 41 83 280 113 75 60 113 66 254 123 76 107 67 596 72 95 72 61 56 62 48 62 102 61 53 74 67 71 64 85 59 70 69 82 CHOL 264 181 267 59 72 79 73 73 85 46 164 64 81 126 89 531 130 175 29.9 42.3 44 8 112 462 62 BMI Leg Elbow 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 43.2 6.0 21.4 22.0 38.7 5.7 27.5 41.0 6.8 33.5 43.8 7.8 20.6 37.3 6.3 6.6 17.7 39.1 5.7 24.0 40.3 6.6 48.6 7.2 7.0 6.2 6.3 6.8 6.8 6.9 309 94 98 19.8 41.5 447 29.8 40.0 125 29.7 38.2 318 31.7 38.2 325 23.8 38.2 5.9 600 44.9 41.0 8.0 237 19.2 38.1 6.1 173 28.7 38.0 7.0 28.5 36.0 6.7 19.3 32.1 5.4 28.9 37.7 33.2 18.3 43.4 31.0 31.1 6.4 25.1 39.4 7.1 22.8 40.2 5.9 30.9 39.2 6.2 26.5 39.0 6.3 21.2 36.6 5.9 40.6 27.0 7.5 21.9 38.5 5.6 301 223 293 146 149 26.0 149 23.5 37.5 920 271 207 2 39.9 6.4 6.1 22.8 39.7 5.8 6.3 20.7 39.0 20.5 41.6 6.0 21.9 33.8 5.6 Wrist Arm 4.6 23.6 5.5 26.3 4.6 26.3 32.6 5.0 4.8 4.9 5.1 5.5 5.8 5.0 5.2 4.8 5.1 5.6 5.4 5.2 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 5.2 4.8 5.0 4.9 5.3 4.6 29.2 26.4 27.9 33.0 38.6 26.5 34.4 23.7 28.4 34.0 35.2 24.7 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
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