Are the mean weights of young adult men and women significantly different from each other? Assume population standard deviations are equal. Use α = 0.05. Use α = 0.01. What is the p-value of this test? Did the assumption of equal population standard deviations seem tenable in this case? Suppose you were unwilling to assume equal population standard deviations above. How would your results change? Figure 1: ID Female Age Height Weight 6 0 25 65 200 18 0 27 66 155 77 1 21 63 135 80 0 22 68 130 84 0 22 68 184 100 1 22 66 127 119 0 28 71 155 150 0 26 66 110 157 1 23 63 150 184 1 24 65 120 219 1 26 65 110 227 1 28 63 135 232 0 24 69 150 270 0 23 68 150 285 1 24 61 137 297 1 28 62 175 349 0 27 66 180 383 0 25 68 140 446 1 27 61 97 448 0 21 68 150 454 1 24 68 125 462 1 25 69 150 479 0 22 73 145 505 0 26 71 195 556 0 28 72 215 573 0 24 72 155 585 1 22 61 110 596 0 23 68 150 646 1 23 61 128 682 1 22 68 140 689 1 21 65 106 691 1 24 63 143 698 1 26 69 120 706 1 28 61 103 717 0 23 74 215 722 0 27 73 236 763 0 23 69 155 774 0 25 66 123 795 0 22 71 178 810 1 25 60 105 834 1 26 62 167 850 0 24 68 150 890 0 26 73 180 939 1 27 66 130 971 1 23 68 121 979 1 26 62 145 997 0 21 69 150 1030 1 27 64 129 1035 1 21 65 125 1052 0 23 74 185 1064 0 28 72 215 1085 0 25 72 175 1086 1 24 65 120 1094 0 27 72 195 1119 0 28 70 165 1164 1 25 65 190 1168 1 24 64 130 1184 1 28 67 128 1223 1 21 69 160 1332 0 22 75 215 1349 0 24 74 180 1352 1 27 66 190 1356 1 23 67 125 1372 0 23 66 135 1390 0 22 74 191 1451 1 22 61 150 1492 0 28 72 210 1493 1 22 63 170 1526 0 27 71 148 1544 1 24 63 110 1559 1 26 61 94 1573 0 25 72 195 1596 1 25 67 167 1598 1 21 64 130 1600 1 28 64 135 1613 0 21 68 170 1665 0 22 68 160 1678 0 25 73 205 1679 0 23 71 170 1688 1 25 64 130 1748 0 23 70 185 1790 0 24 70 155 1798 1 23 64 115 1878 1 27 67 132 1883 1 22 66 145 1927 1 24 59 127 1979 0 28 66 160 2000 0 25 67 220 2007 0 23 70 180 2029 0 26 74 150 2051 0 21 66 150 2059 0 22 68 135 2095 0 27 73 175 2136 1 27 62 132 2153 1 23 64 150 2176 1 24 65 108 2208 0 23 67 150 2232 1 21 68 130 2237 1 25 67 140 2257 1 23 59 88 2266 0 21 70 156 2272 1 24 65 135 2290 1 22 64 230 2297 1 28 64 129 2327 0 23 71 177 2336 0 28 71 165 2354 0 26 72 175 2356 1 22 68 130 2379 0 25 74 160 2465 0 22 65 140 2513 0 21 72 140 2514 1 26 67 140 2516 0 23 71 210 2528 1 24 67 157 2536 1 25 61 110 2541 0 24 72 180 2603 1 23 63 125 2616 0 27 71 198 2638 1 22 66 130 2644 0 21 68 140 2645 1 23 61 110 2704 1 26 60 130 2740 1 21 63 160 2744 1 28 64 120 2753 1 27 65 149 2783 0 23 71 169 2796 1 26 66 130 2858 0 22 72 150 2868 0 28 71 172 2869 1 25 65 115 2875 0 26 71 172 2895 0 21 73 170 2936 1 26 67 150 2981 0 23 66 116 2998 0 24 70 175 3009 1 28 62 147 3032 0 25 63 135 3041 1 27 66 126 3058 1 24 66 108 3077 0 28 74 185 3099 1 22 68 133 3101 1 23 68 138 3170 0 25 72 162 3172 0 26 68 137 3189 0 24 81 215 3197 1 25 61 130 3214 0 22 69 143 3264 0 25 70 170 3266 1 24 63 140 3268 1 21 63 142 3322 1 27 64 110 3331 0 27 74 180 3349 1 24 67 125 3364 1 26 65 160 3381 0 24 72 185 3398 0 23 73 175 3414 0 28 76 190 3426 1 23 65 120 3428 1 28 64 122 3436 1 25 63 130 3437 0 24 67 152 3439 0 21 71 180 3452 1 22 66 140 3480 1 27 64 130 3552 1 21 66 160 3590 0 26 69 142 3648 1 25 63 140 3693 0 23 74 162 3694 0 27 70 163 3717 1 23 70 150 3726 1 24 64 132 3728 1 26 66 245 3780 0 21 73 185 3803 0 25 71 170 3817 1 28 63 130 3837 1 22 61 87 3849 1 24 68 124 3882 0 28 68 165 3888 0 22 71 173 3944 1 24 71 165 3962 1 27 66 175 4033 1 26 66 115 4037 1 21 66 110 4047 0 23 69 140 4054 1 25 64 118 4111 0 21 74 160 4123 1 21 62 105 4125 1 23 66 140 4132 1 24 64 105 4161 0 22 69 145 4229 0 26 68 140 4238 0 27 69 155 4268 1 28 61 200 4271 0 23 68 150 4283 1 22 67 140 4306 1 28 64 120 4323 1 25 65 175 4338 0 23 68 135 4340 0 26 72 210 4353 1 27 67 150 4362 0 27 71 153 4397 0 22 76 180 4447 1 23 68 145 4494 1 26 68 123 4499 1 21 67 150 4501 0 21 70 160 4548 0 22 70 145 4551 1 24 61 109 4578 1 25 66 115 4595 0 24 71 179 4607 0 27 72 175 4616 1 22 61 115 4617 0 26 70 145 4636 0 25 64 150 4684 1 28 64 120 4686 1 27 70 170 4687 0 23 70 174 4744 1 26 65 115 4779 0 21 69 130 4833 1 22 67 130 4873 1 24 62 109 4889 0 28 71 190 4892 0 25 68 170 4897 0 24 72 165 4919 1 25 64 110 4922 1 21 64 142 4923 0 22 69 173 4960 0 27 74 230 4998 0 23 71 165 5013 0 22 70 185 5017 0 26 71 170 5085 1 23 67 124 5088 1 26 59 132 5103 1 23 70 130 5115 1 27 68 168 5124 1 26 68 200 5125 1 28 63 138 5183 1 21 68 135 5194 0 21 70 145 5197 0 22 65 125 5206 0 25 69 235 5209 1 22 67 130 5225 1 25 65 125 5303 0 24 72 260 5319 0 23 68 154 5338 1 23 64 125 5369 1 24 70 133 5416 0 25 71 165 5426 1 22 71 135 5456 0 21 68 195 5475 0 27 71 155 5480 1 22 66 143 5492 1 26 61 180 5496 0 28 74 174 5520 0 23 68 140 5540 0 22 73 165 5564 1 28 62 132 5565 1 25 63 128 5567 0 24 70 135 5606 1 24 67 128 5609 1 23 62 109 5626 1 21 61 127 5663 0 26 73 185 5689 1 27 63 130 11786 1 21 64 143 11796 0 22 74 220 11816 1 27 67 145 11831 1 26 66 135 11911 0 26 70 170 11917 0 27 75 165 11944 1 22 61 105 11958 1 21 63 110 11976 0 22 72 185 11980 1 24 64 120 12031 0 23 72 200 12034 1 24 62 106 12072 0 28 69 180 12081 0 24 72 155 12104 1 28 65 160 12118 1 23 67 145 12124 0 27 70 176