Question

From a population of 200,000,000 elements, the standard deviation is known to be 14. A sample of 49 elements is selected. It is determined that the sample mean is 56. The standard error of the mean is

Answer 1

Answer:

The standard error of the mean = 2

Step-by-step explanation:

Given that:

The standard deviation σ = 14

The sample size n = 49

The sample mean $\overline x$ = 56

The formula for calculating the standard error can be expressed as:

$S.E = \dfrac{\sigma}{\sqrt{n}}$

$S.E = \dfrac{14}{\sqrt{49}}$

$S.E = \dfrac{14}{7}$

S.E = 2

Therefore, the standard error of the mean = 2