Question

1. if a sample mean is 50 with a standard deviation of 5 and the sample size is 25, what is the standard error of the mean?

a. 25
b. 1
c. 5
d. 10

Explanation:

Step1: Recall the formula for standard error of the mean

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

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

Given that $\sigma = 5$ and $n = 25$.

Step3: Calculate the standard error of the mean

Substitute the values into the formula: $SE=\frac{5}{\sqrt{25}}=\frac{5}{5}=1$.

Answer:

B. 1