Question

Find the mean of the sampling distribution of sample means using the given information. Round to one decimal place if necessary

Answer 1

Solution:

Given:

$\begin{gathered} \mu=31 \\ \sigma=6 \\ n=4 \end{gathered}$

The mean of the sampling distribution of sample means, μx¯, is equal to the population mean, μ.

Hence,

$\mu_{\bar{x}}=\mu$

Hence,

$\mu_{\bar{x}}=31$

Therefore, the mean of the sampling distribution of sample means is 31.0