Question

Consider a large population with a mean of 100 and a standard deviation of 21. A random sample of size 36 is taken from this population. The standard error of the sampling distribution of sample mean.

Answer 1

3.5

Explanation:

Given that:

Population mean (m) = 100

Standard deviation (σ) = 21

Sample size (n) = 36

The standard error of the sampling distribution of sample mean :

Standard Error is given by:

Standard deviation / sqrt(n)

Thus,

Standard Error = 21 / sqrt(36)

Standard Error = 21 / 6

Standard Error = 3.5