Phil wanted to know if mothers give more hugs to their children than fathers do. He used 8 married couples so that each mother and father would be matched on the number of children for his sample. Dr. Phil then asked each parent to report the number of hugs that they gave their children over the course of 2 weeks. Assume the parametric assumptions were NOT violated. Conduct an appropriate statistical test for him using alpha .05 and the eight steps of hypothesis testing. Note: more information given in table than is needed Pair Mother Hugs (X1) R1 X12 Father Hugs (X2) R2 X22 D Ranks D2 + - 1 14 196 14 196 0 0 2 10 100 8 64 2 4 3 10 100 15 225 -5 25 4 8 64 7 49 1 1 5 6 36 9 81 -3 9 6 3 9 9 81 -6 36 7 17 289 20 400 -3 9 8 5 25 9 81 -4 16 Total 73 819 91 1177 -18 100 Means 9.125 11.375 -2.25
Phil wanted to know if mothers give more hugs to their children than fathers do. He used 8 married couples so that each mother and father would be matched on the number of children for his sample. Dr. Phil then asked each parent to report the number of hugs that they gave their children over the course of 2 weeks. Assume the parametric assumptions were NOT violated. Conduct an appropriate statistical test for him using alpha .05 and the eight steps of hypothesis testing.
Note: more information given in table than is needed
|
Pair |
Mother Hugs (X1) |
R1 |
X12 |
Father Hugs (X2) |
R2 |
X22 |
D |
Ranks |
D2 |
+ |
- |
|
1 |
14 |
|
196 |
14 |
|
196 |
0 |
|
0 |
|
|
|
2 |
10 |
|
100 |
8 |
|
64 |
2 |
|
4 |
|
|
|
3 |
10 |
|
100 |
15 |
|
225 |
-5 |
|
25 |
|
|
|
4 |
8 |
|
64 |
7 |
|
49 |
1 |
|
1 |
|
|
|
5 |
6 |
|
36 |
9 |
|
81 |
-3 |
|
9 |
|
|
|
6 |
3 |
|
9 |
9 |
|
81 |
-6 |
|
36 |
|
|
|
7 |
17 |
|
289 |
20 |
|
400 |
-3 |
|
9 |
|
|
|
8 |
5 |
|
25 |
9 |
|
81 |
-4 |
|
16 |
|
|
|
Total |
73 |
|
819 |
91 |
|
1177 |
-18 |
|
100 |
|
|
|
Means |
9.125 |
|
|
11.375 |
|
|
-2.25 |
|
|
|
|
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