Question

If the sample size (n) is 25 and the standard deviation (σ) of population is 2, then the standard error (SE) of sample mean, (rounded off to one decimal place), is \(\underline{\hspace{2cm}}\).

Hint:

The standard error of the sample mean is calculated as the population standard deviation divided by the square root of the sample size.

Answer 1

Correct Answer: 0.4

The standard error (SE) of the sample mean is given by the formula: \[ SE = \frac{\sigma}{\sqrt{n}}. \] Substituting the given values, we get: \[ SE = \frac{2}{\sqrt{25}} = \frac{2}{5} = 0.4. \] Thus, the standard error is \( 0.4 \).