In another comparison of study guides A and B, the following scores were obtaine
ID: 3201854 • Letter: I
Question
In another comparison of study guides A and B, the following scores were obtained (out of 100): Use the Wilcoxon test to test the null hypothesis that the distributions of scores are the same for each study guide, against the two-sided alternative that the distributions are different. Calculate W, the observed sum of ranks of the study guide A scores. What is the mean of W, under the null hypothesis? What is the variance of W, under the null hypothesis? Calculate the standardized test statistic. Which of the statistical tables should you use? X^2 - distribution z - distribution t - distribution Calculate the p-value for the test.Explanation / Answer
Result:
Wilcoxon - Mann/Whitney Test with correction for ties
n
sum of ranks
6
50
A
6
28
B
12
78
total
39.000
expected value
6.168
standard deviation
1.783
z corrected for ties
.0745
p-value (two-tailed)
Observed sum of Ranks for A = 50
Mean of W = 39.0
Variance of W= 38.044
Test statistic = 1.783
Table used: z distribution
P value = 0.0745
Wilcoxon - Mann/Whitney Test without correction for ties
n
sum of ranks
6
50
A
6
28
B
12
78
total
39.000
expected value
6.245
standard deviation
1.761
z
.0782
p-value (two-tailed)
Result:
No.
Label
Data
Rank
1
A
92
10.5
2
A
85
9
3
A
84
7
4
A
79
4.5
5
A
84
7
6
A
97
12
7
B
79
4.5
8
B
71
2.5
9
B
70
1
10
B
92
10.5
11
B
71
2.5
12
B
84
7
Sum of ranks of A = 10.5+9+7+4.5+7+12 =50
Wilcoxon - Mann/Whitney Test with correction for ties
n
sum of ranks
6
50
A
6
28
B
12
78
total
39.000
expected value
6.168
standard deviation
1.783
z corrected for ties
.0745
p-value (two-tailed)
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