Question

question 4
1 pts
determine the standard deviation of the sampling mean from the given parameters of the
population and the sample size. your answer should be a whole number.
μ = 120, σ = 24, n = 64
the standard deviation of the sampling mean (sigma - sub - x - bar) =

Explanation:

Step1: Recall the formula for standard deviation of sampling mean

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

Step2: Substitute the given values into the formula

Given $\sigma = 24$ and $n = 64$. Then $\sigma_{\bar{x}}=\frac{24}{\sqrt{64}}$.
Since $\sqrt{64}=8$, we have $\sigma_{\bar{x}}=\frac{24}{8}$.

Step3: Calculate the value

$\frac{24}{8}=3$.

Answer:

3