Using the table given below, determine the lower- and upper-tail critical values for the Wilcoxon rank sum test statistic T, in each of the following two-tail tests. a. a = 0.10, n, = 8, nz = 8 b. a = 0.05, n, = 8, n2 = 8 c. a = 0.01, n, = 8, ng = 8 d. Given your results in (a) to (c), what do you conclude regarding the width of the region of non-rejection as the selected level of significance a gets smaller? E Click the icon to view the table of critical values for the Wilcoxon rank sum test. Critical values for the wil a. The lower-tail critical value is 55 and the upper-tail critical value is 81]. (Type whole numbers.) b. The lower-tail critical value is 51 and the upper-tail critical value is 85. (Type whole numbers.) Lower and upper critical values T, of Wilkcoxon rank sum test c. The lower-tail critical value is 45 and the upper-tail critical value is 91 (Type whole numbers.) One tail Two tail 4 0.05 0.10 d. The width of the region of non-rejection as the selected level of significance a gets smaller. 0.025 0.05 0.01 902
Using the table given below, determine the lower- and upper-tail critical values for the Wilcoxon rank sum test statistic T, in each of the following two-tail tests. a. a = 0.10, n, = 8, nz = 8 b. a = 0.05, n, = 8, n2 = 8 c. a = 0.01, n, = 8, ng = 8 d. Given your results in (a) to (c), what do you conclude regarding the width of the region of non-rejection as the selected level of significance a gets smaller? E Click the icon to view the table of critical values for the Wilcoxon rank sum test. Critical values for the wil a. The lower-tail critical value is 55 and the upper-tail critical value is 81]. (Type whole numbers.) b. The lower-tail critical value is 51 and the upper-tail critical value is 85. (Type whole numbers.) Lower and upper critical values T, of Wilkcoxon rank sum test c. The lower-tail critical value is 45 and the upper-tail critical value is 91 (Type whole numbers.) One tail Two tail 4 0.05 0.10 d. The width of the region of non-rejection as the selected level of significance a gets smaller. 0.025 0.05 0.01 902
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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Transcribed Image Text:Using the table given below, determine the lower- and upper-tail critical values for the Wilcoxon rank sum test statistic T, in each of the following two-tail tests.
a. a = 0.10, n, = 8, n2 = 8
b. a = 0.05, n, = 8, n2 = 8
c. a = 0.01, n, = 8, n2 = 8
d. Given your results in (a) to (c), what do you conclude regarding the width of the region of non-rejection as the selected level of significance a gets smaller?
E Click the icon to view the table of critical values for the Wilcoxon rank sum test.
Critical values for the wilcoxon rank sum test
a. The lower-tail critical value is 55 and the upper-tail critical value is 81.
(Type whole numbers.)
Lower and upper critical
b. The lower-tail critical value is 51 and the upper-tail critical value is 85
values T, of Wilcoxon rank
(Type whole numbers.)
sum test
c. The lower-tail critical value is 45 and the upper-tail critical value is 91
One tail Two tail
4
8
9
10
(Type whole numbers.)
0.05
0.10
11,25
d. The width of the region of non-rejection
V as the selected level of significance a gets smaller.
0.025
0.05
10,26
0.01
0.02
0.005
0.01
0.05
0.10
12,28
19,36
stays the same
0.025
0.05
11,29
17,38
0.01
0.02
10,30
16,39
becomes larger
0.005
0.01
15,40
becomes smaller
13,31
12,32
20,40
18,42
6
0.05
0.10
28,50
26,52
24,54
23,55
0.025
0.05
17,43
16,44
0.01
0.02
11,33
0.005
0.01
10,34
7
0.05
0.10
14,34
21,44
29,55
39,66
0.025
0.05
13,35
20,45
27,57
36,69
0.01
0.02
11,37
18,47
25,59
34,71
0.005
0.01
10,38
16,49
24,60
32,73

Transcribed Image Text:0.05
0.10
15,37
23,47
31,59
41,71
51,85
0.025
0.05
14,38
21,49
29,61
38,74
49,87
0.01
0.02
12,40
19,51
27,63
35,77
45,91
0.005
0.01
11,41
17,53
25,65
34,78
43,93
0.05
0.10
16,40
24,51
33,63
43,76
54,90
66,105
14,42
13,43
40,79
51,93
47,97
0.025
0.05
22,53
31,65
62,109
0.01
0.02
20,55
28,68
37,82
59,112
0.005
0.01
11,45
18,57
26,70
35,84
45,99
56,115
10
0.05
0.10
1743
26,54
35,67
45,81
56,96
69,111
82,128
0.025
0.05
15,45
23,57
32,70
42,84
53,99
65,115
78,132
0.01
0.02
13,47
21,59
29,73
39,87
49,103
61,119
74,136
0.005
0.01
12,48
19,61
27,75
37,89
47,105
58,122
71,139
One tail
Two tail
4
7
8
9.
10
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