Question

determine the standard deviation of the sampling mean from the given parameters of the population and the sample size. round your answer to 2 decimal places.
μ = 54, σ = 11, n = 19
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 (\(\sigma_{\bar{x}}\)) 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 \(\sigma = 11\) and \(n = 19\). Then \(\sigma_{\bar{x}}=\frac{11}{\sqrt{19}}\).

Step3: Calculate the value

First, calculate \(\sqrt{19}\approx4.3589\). Then \(\frac{11}{4.3589}\approx2.52\).

Answer:

\(2.52\)