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

The standard error of the mean = 2

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 = (\sigma)/(√(n))`

`S.E = (14)/(√(49))`

`S.E = (14)/(7)`

S.E = 2

Therefore, the standard error of the mean = 2