Answer to Question #308554 in Statistics and Probability for Secret Person

Question

What is the standard deviation of sampling distribution if standard deviation of population is 35 and sample size is 9?

Answer 1

Let $\sigma_x$ be a standard deviation of sampling distribution, $\sigma$ - population standard deviation, n - sample size, then

${\sigma}_x={\frac {{\sigma}} {\sqrt n}}={\frac {35} {\sqrt 9}}={\frac {35} 3}\approx11.67$