Um laboratório que fabrica comprimidos analgésicos anuncia que o seu remédio contra dor de cabeça leva em média 14 minutos para aliviar a dor. Um ...

Com base nos dados fornecidos, podemos realizar um teste de hipótese para verificar se o tempo médio populacional de alívio da dor é superior ao indicado pela fábrica de comprimidos. A hipótese nula (H0) é que o tempo médio populacional de alívio da dor é igual a 14 minutos, enquanto a hipótese alternativa (H1) é que o tempo médio populacional de alívio da dor é superior a 14 minutos. Com um nível de significância de 5%, e considerando que a amostra é grande (n=40), podemos usar o teste Z para a média. O valor crítico para um teste unilateral superior a 5% de significância é de 1,645. Calculando o valor do teste Z: \[ Z = \frac{{\bar{X} - \mu}}{{\frac{\sigma}{\sqrt{n}}}} \] \[ Z = \frac{{16 - 14}}{{\frac{4}{\sqrt{40}}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = 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\frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = 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\frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac{2}{\frac{4}{\sqrt{40}}} \] \[ Z = \frac