Problem
A researcher is interested in estimating the average height of men in a certain city. She collects data from a random sample of 50 men and finds that the average height is 5.8 feet with a standard deviation of 0.6 feet. What is the standard error of the sample mean?
Solution
Step 1 ：Step 1: We know that the standard error (SE) of a sample mean is given by the formula:\[ SE = \frac{s}{\sqrt{n}} \] where \(s\) is the sample standard deviation and \(n\) is the sample size.
Step 2 ：Step 2: Substituting the given values into the formula, we get:\[ SE = \frac{0.6}{\sqrt{50}} \]
