capitulo 12
20 pág.

capitulo 12


DisciplinaProbabilidade e Estatística13.932 materiais130.127 seguidores
Pré-visualização3 páginas
Problema 32
 
 
 
p
0,05
0,1
0,2
0,3
0,4
0,5
0,6
0,8
0,964
0,816
0,398
0,127
0,027
0,004
0,000
0,000
Problema 33
 
 versus 
.
Logo: 
.
. Nesse caso, a RC é dada por: 
.
Problema 34
Teste para a variância
Passo 1: 
 versus 
.
Passo 2: 
.
Passo 3: 
.
 e 
.(
.
Passo 4: 
.
Passo 5: Como o valor observado pertence à RC, há evidências de que a variância tenha se alterado.
Teste para a média
Passo 1: 
 versus 
.
Passo 2: Sob 
, 
.
Passo 3: 
, 
.(
Passo 4: 
.
Passo 5: Como to pertence à RC, rejeita-se H0. Logo, há evidências de que o número médio diário de clientes tenha aumentado.
Suposições: Amostragem aleatória simples; número diário de clientes do posto de gasolina tem distribuição normal.
Problema 35
Passo 1: 
 versus 
.
Passo 2: Sob 
, 
.
Passo 3: 
, 
.(
Passo 4: 
.
Passo 5: Como to pertence à RC, rejeita-se H0. Logo, há evidências de melhoria.
.
Problema 36
.(
Problema 37
. Tomando p=0,5 (para maximizar p(1-p)):
.
 
Intervalo conservador:
Problema 38
Intervalo conservador:
Problema 39
Passo 1: 
 versus 
.
Passo 2: 
.
Passo 3: 
.(
.
.
Passo 4: 
.
Passo 5: Como o valor observado pertence à RC, rejeita-se H0, ou seja, há evidências de que a variância seja maior que a anunciada pelo fabricante.
Problema 40
Teste para a variância
Passo 1: 
 versus 
.
Passo 2: 
.
Passo 3: 
.(
 
.
Passo 4: 
.
Passo 5: Como o valor observado pertence à RC, há evidências de que a variância tenha diminuído.
Teste para a média
Passo 1: 
 versus 
.
Passo 2: Sob 
, 
.
Passo 3: 
, 
.(
Passo 4: 
.
Passo 5: Como to não pertence à RC, não rejeitamos H0. Ou seja, não há evidências de que o rendimento médio seja diferente de 24%.
Problema 41
X~Binomial(10;p) (
 (
.
.
Problema 42
.
Problema 43
Exemplo 12.7
Problema 42
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