Question

If a population has a standard deviation ó of 25 units, what is the standard error of the mean if samples of size 100 are selected?

Answer 1

SEm = SD/√n

Answer 2

2.5

Answer 3

[AI-generated answer — Explain Bot]

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

Standard Error of the Mean = Standard Deviation / √(Sample Size)

In this case, the standard deviation (σ) is given as 25 units and the sample size (n) is 100. Therefore, substituting these values into the formula, we have:

Standard Error of the Mean = 25 / √100

Now, let's calculate the standard error of the mean:

Standard Error of the Mean = 25 / 10

Standard Error of the Mean = 2.5 units

Hence, the standard error of the mean, when samples of size 100 are selected from a population with a standard deviation of 25 units, is 2.5 units.