at a local restaurant, the amount of time that customers have to wait for their food is normally distributed…

at a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 44 minutes and a standard deviation of 3 minutes. using the empirical rule, determine the interval of minutes that the middle 68% of customers have to wait.

at a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 44 minutes and a standard deviation of 3 minutes. using the empirical rule, determine the interval of minutes that the middle 68% of customers have to wait.

Answer

Explanation:

Step1: Record la media y la desviación estándar

Media $\mu = 44$, desviación estándar $\sigma=3$.

Step2: Aplicar la regla empírica

La regla empírica dice que el 68% de los datos en una distribución normal está dentro de 1 desviación estándar de la media. Entonces, el intervalo es $(\mu - \sigma,\mu+\sigma)$.

Step3: Calcular los límites del intervalo

Límite inferior: $44 - 3=41$. Límite superior: $44 + 3 = 47$.

Answer:

$(41,47)$