Question

type the correct answer in the box. use numerals instead of words. a 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. what is the standard error of the sample mean? round your answer to the nearest hundredth. the standard error of the sample mean is approximately

Explanation:

Step1: Recall the formula for standard error

The formula for the standard error of the sample mean is $\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}$, where $\sigma$ is the population standard - deviation and $n$ is the sample size.

Step2: Identify the values of $\sigma$ and $n$

We are given that $\sigma = 5.65$ inches and $n = 52$.

Step3: Calculate the standard error

Substitute the values into the formula: $\sigma_{\bar{x}}=\frac{5.65}{\sqrt{52}}$. First, calculate $\sqrt{52}\approx7.2111$. Then, $\sigma_{\bar{x}}=\frac{5.65}{7.2111}\approx0.78$.

Answer:

$0.78$