Question

2. From a population of 500 elements, a sample of 225 elements is selected. It is known that the variance

of the population is 900. The standard error of the mean is approximately
a. 1.1022
b. 2
c. 30
d. 1.4847

Answer 1

b. 2

Step-by-step explanation:

To find the standard error of the mean, we can use the formula:

Standard Error of the Mean = Square root of (Population Variance / Sample Size)

Given:

Population Variance (σ^2) = 900

Sample Size (n) = 225

We can substitute these values into the formula:

Standard Error of the Mean = Square root of (900 / 225)

Calculating this value:

Standard Error of the Mean = Square root of 4

Therefore, the standard error of the mean is approximately 2.