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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Using the data from FIgure 1 below:
- 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 |
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman