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olga55 [171]
3 years ago
9

Dada una distribución t de Student con 15 grados de libertad, calcule el valor de t1 tal que a) el área a la derecha de t1 sea 0

.01, b) el área a la izquierda de t1 sea 0.95, c) el área a la derecha de t1 sea 0.10, d) el área a la derecha de t1 junto con el área a la izquierda de –t1 sea 0.01, e) el área entre a –t1 y t1 sea 0.95.
Mathematics
1 answer:
nikitadnepr [17]3 years ago
6 0

Answer:

a)  t₁ = 2,947

b)  t₁ = 2,131

c)  t₁ = 1,753

d) t₁ = 2,947   -t₁ = -2,947  

e) t₁ = 2,131    -t₁  = -2, 131

Step-by-step explanation:

a) t₁ para el área a la derecha de 0,01  

En la tabla t- student  el t correspondiente a 0,01  es:

t₁ = 2,947

b) t₁ para el área a la izquierda sea de 0,95. Es igual al t para el cual el área de la drecha es  0,05

t₁ = 2,131

c) t₁ para que el área de la derecha sea 0,10

t₁ = 1,753

d) Buscar t₁ para el cual las áreas de derecha de (t₁) más la de la izquierda  de (- t₁ ) sea  0,01.

Si el área es de 0,01 quere decir que la mitad, es decir 0,005 es el área para una cola, luego

t₁ = 2,947  y -t₁ = -2,947

e) Para que el área entre - t₁ y t₁ sea 0,95

t₁ = 2,131  y  -t₁  = -2, 131

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