The size of leaves taken from bramble bushes were measured to see if there is a difference between the size of the leaves growing in full sunlight and those growing in the shade. Test the hypothesis using 0.05 level of significance. Width Of Leaf / Cm Sunligh t 6.0 4.8 5.1 5.5 4.1 5.3 4.5 5.1 Shade 6.5 5.5 6.3 7.2 6.8 5.5 5.9 5.5   is this a wilcoxon test or mann whitney test ? and how do i do this question in hand calculation method. attached ceritical table for the two tests

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The size of leaves taken from bramble bushes were measured to see if there is a
difference between the size of the leaves growing in full sunlight and those growing in
the shade. Test the hypothesis using 0.05 level of significance.
Width Of Leaf / Cm

Sunligh
t
6.0 4.8 5.1 5.5 4.1 5.3 4.5 5.1
Shade 6.5 5.5 6.3 7.2 6.8 5.5 5.9 5.5

 

is this a wilcoxon test or mann whitney test ? and how do i do this question in hand calculation method. attached ceritical table for the two tests 

BHPY2044 STATISTICAL TECHNIQUES FOR PSYCHOLOGY II
CRITICAL VALUES OF T FOR THE WILCOXON SIGNED-RANKS TEST*
*To be significant, the obtained T must be equal to or less than the critical value. Dashes (-) in the columns indicate
that no decision is possible for the stated a and n.
Lovelor Signilica
One Talc
Level of Significance for
Level of Significance for
Level of Significance for
Two-Tailed Test
Two-Tailcd Test
.10 .05
.02
.01
.10
.05
.02
.01
5
28
130
116
101
91
-
2
29
140
126
110
100
7
3
2
30
151
137
120
109
8
5
3
1
31
163
147
130
118
8
5
3
1
32
175
159
140
128
10
10
5
3
33
187
170
151
138
11
13
10
7
5
34
200
182
162
148
12
17
13
7
35
213
195
173
159
13
21
17
12
9
36
227
208
185
171
14
25
21
15
12
37
241
221
198
182
15
30
25
19
15
38
256
235
211
194
16
35
29
23
19
39
271
249
224
207
17
41
34
27
23
40
286
264
238
220
18
47
40
32
27
41
302
279
252
233
19
53
46
37
32
42
319
294
266
247
20
60
52
43
37
43
336
310
281
261
21
67
58
49
42
44
353
327
296
276
22
75
65
55
48
45
371
343
312
291
23
83
73
62
54
46
389
361
328
307
24
91
81
69
61
47
407
378
345
322
25
100
89
76
68
48
426
396
362
339
26
110
98
84
75
49
446
415
379
355
27
119
107
92
83
50
466
434
397
373
Adapted from F. Wilcoxon, S. K. Katti, and R. A. Wilcox, Critical Values and Probability Levels of the
Wilcoxon Rank-Sum Test and the Wilcoxon Signed-Ranks Test. Wayne, NJ: American Cyanamid Company,
1963. Adapted and reprinted with permission of the American Cyanamid Company.
Scanned with CamScanner
Transcribed Image Text:BHPY2044 STATISTICAL TECHNIQUES FOR PSYCHOLOGY II CRITICAL VALUES OF T FOR THE WILCOXON SIGNED-RANKS TEST* *To be significant, the obtained T must be equal to or less than the critical value. Dashes (-) in the columns indicate that no decision is possible for the stated a and n. Lovelor Signilica One Talc Level of Significance for Level of Significance for Level of Significance for Two-Tailed Test Two-Tailcd Test .10 .05 .02 .01 .10 .05 .02 .01 5 28 130 116 101 91 - 2 29 140 126 110 100 7 3 2 30 151 137 120 109 8 5 3 1 31 163 147 130 118 8 5 3 1 32 175 159 140 128 10 10 5 3 33 187 170 151 138 11 13 10 7 5 34 200 182 162 148 12 17 13 7 35 213 195 173 159 13 21 17 12 9 36 227 208 185 171 14 25 21 15 12 37 241 221 198 182 15 30 25 19 15 38 256 235 211 194 16 35 29 23 19 39 271 249 224 207 17 41 34 27 23 40 286 264 238 220 18 47 40 32 27 41 302 279 252 233 19 53 46 37 32 42 319 294 266 247 20 60 52 43 37 43 336 310 281 261 21 67 58 49 42 44 353 327 296 276 22 75 65 55 48 45 371 343 312 291 23 83 73 62 54 46 389 361 328 307 24 91 81 69 61 47 407 378 345 322 25 100 89 76 68 48 426 396 362 339 26 110 98 84 75 49 446 415 379 355 27 119 107 92 83 50 466 434 397 373 Adapted from F. Wilcoxon, S. K. Katti, and R. A. Wilcox, Critical Values and Probability Levels of the Wilcoxon Rank-Sum Test and the Wilcoxon Signed-Ranks Test. Wayne, NJ: American Cyanamid Company, 1963. Adapted and reprinted with permission of the American Cyanamid Company. Scanned with CamScanner
BHPY2044 STATISTICAL TECHNIQUES FOR PSYCHOLOGY II
Critical Values of the Mann-Whitney U for a = .05*
.05 (lightface type) and for a iwo-tailed test al a =
the obtained U must be cqual to or less than the critical value in the
.05 (boldface
*Critical values arc provided for a one-tailed test al a =
and n,
type) To be significant for any given n,
Lable, Dashes (-) in the body of the table indicate that no decision is possible at the stated level of significance and values
of n, and
6
7
8.
10
11
12
13
14
15
16
17
18
19
20
1
2
4 5
1
1
2
2
2
3
4
4
4
1
2
2
1.
1
6.
1
2
3.
4
5
7
7
9.
10
11
3
1
2
2
3
4
5
7
7
9
10
11
12
14
15
16
17
18
6.
4
1
2
3
4
5
7
1
2
3
4
7
.10
11
11
12
13
13
4
5
11
12
13
15
16
18
19
20
22
23
25
1
1
3
5
7
11
12
13
14
15
17
18
19
20
28
24
25
26
30
32
23
19
6.
3
7
10
12
14
16
17
19
21
3
6
8.
10
11
13
14
16
17
21
22
25
27
11
13
15
17
19
21
24
26
28
30
33
35
37
39
7
2
4
5
6
10
12
14
16
18
20
22
24
26
28
30
32
34
3
5
10
13
15
18
20
23
26
28
31
33
36
39
41
44
47
3
8
10
13
15
17
19
22
24
26
29
31
34
36
38
41
2
9.
15
18
21
24
27
30
33
36
39
42
45
48
51
54
12
6.
7
9
3
10
12
15
17
20
23
26
28
31
34
37
39
42
45
48
11
14
17
20
24
27
31
34
37
41
44
48
51
55
58
62
10
4
7
11
14
17
20
23
26
29
33.
36
39
42
45
48
52
55
3
61
65
58
12
16
19
23
27
31
34
38
42
46
50
54
57
69
11
1
13
16
19
23
26
30
33
37
40
44
47
51
55
62
3
5
9.
13
17
21
26
30
34
38
42
47
51
55
60
64
68
72
77
12
4
7
11
14
18
22
26
29
33
37
41
45
49
53
57
61
65
69
1
10
15
19
24
28
33
37
42
47
51
56
61
65
79
75
80
84
13
2.
8.
12
16
20
24
28
33
37
41
45
50
54
59
63
67
72
76
1
51
77
82
74
87
92
83
7
11
16
21
26
31
36
41
46
56
61
66
71
14
13
17
22
26
31
36
40
45.
50
55
59
64
67
78
1
18
23
28
33
39
44
50
55
61
66
72
77
83
88
94
100
15
3
7
12
10
14
19
24
29
34
39
44
49
54
59
64
70
75
80
85
90
1
95
86
14
19
25
30
36
42
48
54
60
65
71
77
83
89
101 107
16
3
6
11
15
21
26
31
37
42
47
53
59
64
70
75
81
92
98
1
15
20
26
33
39
45
51
57
64
70
77
83
89
96 102
109
115
17
3
11
17
22
28
34
39
45
51
57
63
67
75
81
87
93
99 105
75
82
88
95
102 109
116 123
68
61
41
48
55
61
35
30
18
4
9.
16
22
28
12
18
24
36
42
48
55
67
74
80
86
93
99
106 112
2
7
109 116
99 106
72
80
87
94
101
123 130
58
52
19
4
10
17
23
30
37
44
51
65
13
19
25
32
38
45
58
65
72
78
85
92
113 119
7
84
92
100
107
115 123
130 138
69
62
20
4
11
18
25
32
39
47
54
62
77
13
20
27
34
41
48
55
69
76
83
90
98
105 112
119 127
44
649
3.
64
96
Transcribed Image Text:BHPY2044 STATISTICAL TECHNIQUES FOR PSYCHOLOGY II Critical Values of the Mann-Whitney U for a = .05* .05 (lightface type) and for a iwo-tailed test al a = the obtained U must be cqual to or less than the critical value in the .05 (boldface *Critical values arc provided for a one-tailed test al a = and n, type) To be significant for any given n, Lable, Dashes (-) in the body of the table indicate that no decision is possible at the stated level of significance and values of n, and 6 7 8. 10 11 12 13 14 15 16 17 18 19 20 1 2 4 5 1 1 2 2 2 3 4 4 4 1 2 2 1. 1 6. 1 2 3. 4 5 7 7 9. 10 11 3 1 2 2 3 4 5 7 7 9 10 11 12 14 15 16 17 18 6. 4 1 2 3 4 5 7 1 2 3 4 7 .10 11 11 12 13 13 4 5 11 12 13 15 16 18 19 20 22 23 25 1 1 3 5 7 11 12 13 14 15 17 18 19 20 28 24 25 26 30 32 23 19 6. 3 7 10 12 14 16 17 19 21 3 6 8. 10 11 13 14 16 17 21 22 25 27 11 13 15 17 19 21 24 26 28 30 33 35 37 39 7 2 4 5 6 10 12 14 16 18 20 22 24 26 28 30 32 34 3 5 10 13 15 18 20 23 26 28 31 33 36 39 41 44 47 3 8 10 13 15 17 19 22 24 26 29 31 34 36 38 41 2 9. 15 18 21 24 27 30 33 36 39 42 45 48 51 54 12 6. 7 9 3 10 12 15 17 20 23 26 28 31 34 37 39 42 45 48 11 14 17 20 24 27 31 34 37 41 44 48 51 55 58 62 10 4 7 11 14 17 20 23 26 29 33. 36 39 42 45 48 52 55 3 61 65 58 12 16 19 23 27 31 34 38 42 46 50 54 57 69 11 1 13 16 19 23 26 30 33 37 40 44 47 51 55 62 3 5 9. 13 17 21 26 30 34 38 42 47 51 55 60 64 68 72 77 12 4 7 11 14 18 22 26 29 33 37 41 45 49 53 57 61 65 69 1 10 15 19 24 28 33 37 42 47 51 56 61 65 79 75 80 84 13 2. 8. 12 16 20 24 28 33 37 41 45 50 54 59 63 67 72 76 1 51 77 82 74 87 92 83 7 11 16 21 26 31 36 41 46 56 61 66 71 14 13 17 22 26 31 36 40 45. 50 55 59 64 67 78 1 18 23 28 33 39 44 50 55 61 66 72 77 83 88 94 100 15 3 7 12 10 14 19 24 29 34 39 44 49 54 59 64 70 75 80 85 90 1 95 86 14 19 25 30 36 42 48 54 60 65 71 77 83 89 101 107 16 3 6 11 15 21 26 31 37 42 47 53 59 64 70 75 81 92 98 1 15 20 26 33 39 45 51 57 64 70 77 83 89 96 102 109 115 17 3 11 17 22 28 34 39 45 51 57 63 67 75 81 87 93 99 105 75 82 88 95 102 109 116 123 68 61 41 48 55 61 35 30 18 4 9. 16 22 28 12 18 24 36 42 48 55 67 74 80 86 93 99 106 112 2 7 109 116 99 106 72 80 87 94 101 123 130 58 52 19 4 10 17 23 30 37 44 51 65 13 19 25 32 38 45 58 65 72 78 85 92 113 119 7 84 92 100 107 115 123 130 138 69 62 20 4 11 18 25 32 39 47 54 62 77 13 20 27 34 41 48 55 69 76 83 90 98 105 112 119 127 44 649 3. 64 96
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