ENSAYO 3
ESTADISTICA
MAESTRO. ING. FIDEL ZAPATA LUNA
ALUMNO: JESUS FERNANDO ESCAMILLA SEGURA
MATRICULA: L-4759
19-JULIO-2012
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En un
concurso de belleza se emplean 2 jueces para calificar a 11 concursantes |
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las
puntuaciones se muestran a continuacion. |
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CONCURSANTE |
A |
B |
C |
D |
E |
F |
G |
H |
I |
J |
K |
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JUEZ 1 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
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JUEZ 2 |
2 |
3 |
1 |
6 |
4 |
5 |
8 |
7 |
10 |
11 |
9 |
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A)Calcule el
coeficiente de correlacion de rangos "R" |
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B)Con µ=0.01 ¿Puede llegarse a la conclusion de que existe una correlacion
significativa entre |
las calificaciones
de los 2 jueces. |
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DIFERENCIA "D" |
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n=11 |
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CONCURSANTE |
JUEZ 1 |
RANGO1 |
JUEZ 2 |
RANGO 2 |
ENTRE RANGOS |
D² |
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V=n-2 |
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A |
1 |
1 |
2 |
2 |
-1 |
1 |
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v=11-2 |
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B |
2 |
2 |
3 |
3 |
-1 |
1 |
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v=9 |
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C |
3 |
3 |
1 |
1 |
2 |
4 |
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µ=0.01 |
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D |
4 |
4 |
6 |
6 |
-2 |
4 |
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E |
5 |
5 |
4 |
4 |
1 |
1 |
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Vc=3.25 |
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F |
6 |
6 |
5 |
5 |
1 |
1 |
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G |
7 |
7 |
8 |
8 |
-1 |
1 |
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H |
8 |
8 |
7 |
7 |
1 |
1 |
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I |
9 |
9 |
10 |
10 |
-1 |
1 |
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J |
10 |
10 |
11 |
11 |
-1 |
1 |
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K |
11 |
11 |
9 |
9 |
2 |
4 |
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SUMA D²= |
20 |
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R = 1-6D² |
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R=0.909 |
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11(11²-1) |
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Rechazar Ho si T ≤ -3.25 o si T ≥ 3.25 |
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√1-R² |
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T = 6.55 |
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Si se rechaza Ho si
existe correlacion entre las calificaciones de los 2 jueces. |
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