type the correct answer in the box. helen gathered data on the fuel efficiency of compact sedans. her sample…

type the correct answer in the box. helen gathered data on the fuel efficiency of compact sedans. her sample contains 80 data points, and the standard error of the mean is approximately 0.595. what is the standard deviation? round your answer to the nearest hundredth. the standard deviation is approximately

type the correct answer in the box. helen gathered data on the fuel efficiency of compact sedans. her sample contains 80 data points, and the standard error of the mean is approximately 0.595. what is the standard deviation? round your answer to the nearest hundredth. the standard deviation is approximately

Answer

Explanation:

Step1: Recuerda la fórmula

La fórmula para el error estándar de la media ($SE$) es $SE=\frac{\sigma}{\sqrt{n}}$, donde $\sigma$ es la desviación estándar y $n$ es el tamaño de la muestra.

Step2: Despeja la desviación estándar

Re - arreglamos la fórmula para $\sigma$: $\sigma = SE\times\sqrt{n}$. Dado que $SE = 0.595$ y $n = 80$. Calculamos $\sqrt{n}=\sqrt{80}\approx8.944$. Luego $\sigma=0.595\times8.944$. $\sigma\approx5.32$.

Answer:

$5.32$