Step 1 :The standard deviation of the sampling distribution of sample means, also known as the standard error, can be calculated using the formula: \(\sigma_{\bar{x}} = \frac{\sigma}{\sqrt{n}}\) where \(\sigma_{\bar{x}}\) is the standard deviation of the sampling distribution, \(\sigma\) is the standard deviation of the population, and \(n\) is the size of the samples.
Step 2 :Given that \(\sigma = 8\) and \(n = 9\), we can substitute these values into the formula to find \(\sigma_{\bar{x}}\).
Step 3 :\(\sigma_{\bar{x}} = \frac{8}{\sqrt{9}} = 2.6666666666666665\)
Step 4 :Rounding to one decimal place, the final answer is: \(\boxed{2.7}\)