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.

Question

Quizplus · Accepted Answer

The formula to calculate the standard error of the mean is:

SE = σ / sqrt(n)

where SE is the standard error of the mean, σ is the population standard deviation, and n is the sample size.

In this case, we are given that the population variance is 900, so the population standard deviation is sqrt(900) = 30.

The sample size is 225.

Plugging in these values, we get:

SE = 30 / sqrt(225) = 30 / 15 = 2

Therefore, the standard error of the mean is 2. The closest choice to this value is D) 1.4847.

From a Population of 500 Elements, a Sample of 225