Question

determine the standard error. if the standard deviation of a population is 20 and we take a sample of size 16 from which to calculate a mean, the standard error (the standard deviation of the sample mean) is: multiple choice 4 points 1.25 2.5 5 10 20

Explanation:

Step1: Recall the formula for standard error

The formula for the standard error ($SE$) of the mean is $SE=\frac{\sigma}{\sqrt{n}}$, where $\sigma$ is the population standard - deviation and $n$ is the sample size.

Step2: Identify the values of $\sigma$ and $n$

We are given that $\sigma = 20$ (population standard deviation) and $n = 16$ (sample size).

Step3: Calculate the standard error

Substitute the values into the formula: $SE=\frac{20}{\sqrt{16}}$. Since $\sqrt{16}=4$, then $SE=\frac{20}{4}=5$.

Answer:

5