Question

If the standard deviation of FCAT Math scores is 50 in the population of examinees, the standard deviation of the sampling distribution of means (standard error of the mean) computed from samples of size 25 will be?

1) 2
2) 10
3) 20
4) 100

Answer 1

The standard error of the mean, given a population standard deviation of 50 and a sample size of 25, is calculated to be 10.

Step-by-step explanation:

The standard deviation of the sampling distribution of the sample means, often called the standard error of the mean (SEM), can be calculated using the formula σ/√n, where σ is the population standard deviation and n is the sample size. If the standard deviation of FCAT Math scores is 50 in the population, and the sample size is 25, then the standard error of the mean is calculated as 50/√25 = 50/5 = 10.