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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

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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question

Using the data below from figure 1:

  1. 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?
  2. Did the assumption of equal population standard deviations seem tenable in this case?
  3. 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
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