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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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i want only part D solved 

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: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
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
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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