Assume that you want to use a 0.01 significance level to test the claim that the mean pulse rate of women is greater than the mean pulse rate of men using the sample data from Data Set 1 in Appendix B. Both samples have 40 values. If we use df = smaller of n₁ - 1 and n₂ - 1, we get df = 39, and the corresponding critical value is t = 2.426. If we calculate df using Formula 9-1, we get df = 77.2, and the corresponding critical value is 2.376. How is using a critical value of t = 2.426 ?more conservative? than using the critical value of 2.376?

Transcribed Image Text:

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 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 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 68.0 135.5 75.9 68.6 80 76 76 76 80 104 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 72 61 56 62 48 62 102 61 53 74 83 280 113 75 60 113 66 254 123 76 107 67 596 72 95 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 7.2 309 94 28.9 37.7 33.2 18.3 43.4 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 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 7.0 5.4 6.2 5.2 6.3 5.3 6.8 5.0 6.8 4.7 6.9 5.4 5.0 39.9 6.4 6.1 22.8 39.7 5.8 20.7 39.0 20.5 41.6 Wrist Arm 4.6 23.6 5.5 26.3 4.6 6.3 6.0 21.9 33.8 5.6 5.0 4.8 4.9 5.1 5.5 5.8 5.0 5.2 4.8 5.1 5.6 5.6 5.0 5.1 5.1 4.2 5.2 5.3 5.1 5.0 4.9 4.7 26.3 32.6 5.5 4.7 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 5.2 30.9 4.8 27.9 5.0 26.5 4.9 27.8 5.3 23.0 4.6 26.4