Question

question 8
1 pts
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 = 29,σ = 7,n = 18
the standard deviation of the sampling mean (sigma - sub - x - bar) = ______

Explanation:

Step1: Recall the formula for the standard deviation of the 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 \(\sigma = 7\) and \(n = 18\), we substitute these values into the formula: \(\sigma_{\bar{x}}=\frac{7}{\sqrt{18}}\).
First, calculate \(\sqrt{18}\approx4.2426\). Then, \(\frac{7}{4.2426}\approx1.65\).

Answer:

\(1.65\)