there were 324 adults surveyed. among the participants, the mean number of hours of sleep each night was 7.5…

there were 324 adults surveyed. among the participants, the mean number of hours of sleep each night was 7.5 and the standard deviation was 1.6. the margin of error, assuming a 95% confidence level, is approximately 0.17. round to the nearest hundredth. complete the confidence interval is to done

there were 324 adults surveyed. among the participants, the mean number of hours of sleep each night was 7.5 and the standard deviation was 1.6. the margin of error, assuming a 95% confidence level, is approximately 0.17. round to the nearest hundredth. complete the confidence interval is to done

Answer

Explanation:

Step1: Identificar fórmula del intervalo de confianza

El intervalo de confianza para la media poblacional cuando la desviación estándar poblacional $\sigma$ se desconoce (se utiliza la desviación estándar muestral $s$ en su lugar y se asume una muestra grande, $n\geq30$) está dado por $\bar{x}\pm E$, donde $\bar{x}$ es la media muestral y $E$ es el margen de error.

Step2: Identificar valores dados

Tenemos $\bar{x} = 7.5$ (media muestral de horas de sueño), $E=0.17$ (margen de error para un nivel de confianza del 95%).

Step3: Calcular límite inferior del intervalo de confianza

Límite inferior $= \bar{x}-E=7.5 - 0.17=7.33$.

Step4: Calcular límite superior del intervalo de confianza

Límite superior $=\bar{x}+E=7.5 + 0.17=7.67$.

Answer:

7.33 7.67