type the correct answer in the box. use numerals instead of words.\na track coach is gathering data on the…

type the correct answer in the box. use numerals instead of words.\na track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters. the population mean is 62.95 inches with a standard deviation of 5.65 inches.\nwhat is the standard error of the sample mean? round your answer to the nearest hundredth.\nthe standard error of the sample mean is approximately \n

type the correct answer in the box. use numerals instead of words.\na track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters. the population mean is 62.95 inches with a standard deviation of 5.65 inches.\nwhat is the standard error of the sample mean? round your answer to the nearest hundredth.\nthe standard error of the sample mean is approximately \n

Answer

Explanation:

Step1: Identificar la fórmula

La fórmula para el error estándar de la media muestral es $\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}$, donde $\sigma$ es la desviación estándar de la población y $n$ es el tamaño de la muestra.

Step2: Sustituir valores

Tenemos $\sigma = 5.65$ e $n = 52$. Entonces $\sigma_{\bar{x}}=\frac{5.65}{\sqrt{52}}$.

Step3: Calcular

$\sqrt{52}\approx7.2111$. Entonces $\sigma_{\bar{x}}=\frac{5.65}{7.2111}\approx0.78$.

Answer:

$0.78$