Wilcoxon for paired samples Caffrey, when convicted of his poor defense in the t
ID: 3374580 • Letter: W
Question
Wilcoxon for paired samples Caffrey, when convicted of his poor defense in the trial, waits for the appeal by playing cards with the prison guards every Saturday. Caffrey always wins and one of the guards suspects cheating by shuffling the cards. To prove it, the guard took note during some Saturdays of what Caffrey was winning when he was distributing and when someone else was doing it: Earnings (tens of dollars) Earnings (tens of dollar Deal else 6.9 Deal someone SaturdayDeal Caffrey SaturdayDeal Caffrey someone else 7.4 4.9 4.2 4.1 10 4.9 6.2 6.9 6.8 6.6 5.2 5.7 6.9 6.8 4.9 5.3 6.5 12 13 6.7 4.5 5.7 15 5.7 5.8 4.8 Is Caffrey a cheat?Explanation / Answer
Result:
Ho: There is no difference in winnings.
Ho: There is a difference in winnings
Calculated test value = 2.072, P=0.0383 which is < 0.05 level of significance.
Ho is rejected.
We conclude that there is significant in winnings.
There is enough evidence to conclude that Caffrey a cheat.
Wilcoxon Signed Rank Test
variables:
Caffery - someone
85.5
sum of positive ranks
19.5
sum of negative ranks
14 ( two scores are same, so omitted)
n
52.500
expected value
15.930
standard deviation
2.072
z
.0383
p-value (two-tailed)
No.
Label
Data
Rank
1
0.1
5.5
2
-0.2
7.5
3
0.4
11
4
0.1
2.5
5
-0.1
2.5
6
0.1
2.5
7
0.2
7.5
8
0.5
14
9
0.1
2.5
10
0.3
9.5
11
0.4
12.5
12
0.4
12.5
13
-0.3
9.5
14
0.1
5.5
Wilcoxon Signed Rank Test
variables:
Caffery - someone
85.5
sum of positive ranks
19.5
sum of negative ranks
14 ( two scores are same, so omitted)
n
52.500
expected value
15.930
standard deviation
2.072
z
.0383
p-value (two-tailed)
No.
Label
Data
Rank
1
0.1
5.5
2
-0.2
7.5
3
0.4
11
4
0.1
2.5
5
-0.1
2.5
6
0.1
2.5
7
0.2
7.5
8
0.5
14
9
0.1
2.5
10
0.3
9.5
11
0.4
12.5
12
0.4
12.5
13
-0.3
9.5
14
0.1
5.5
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