Answer to Question #104174 in Statistics and Probability for Katenda

Question

Question 19

A normally distributed population with 1000 observations has a mean of 100 and a standard deviation 10. A sample of size 200 is randomly drawn from the population.

What is the standard error of the sampling distribution?
(1) 10
(2) 0.707
(3) 0.05
(4) 0.1
(5) 0.316

Answer 1

$SE=\frac{\sigma}{\sqrt{n}}$

$n=200, \sigma=10$

$SE=\frac{10}{\sqrt{200}}= 0.707$