Question

The mean and the standard deviation of the sampled population are 225.8and 17.8 respectively. What is the mean and standard deviation of the sample mean when n = 25?

Answer 1

Mean and standard deviation of the sample mean are 225.8 and 3.56 respectively.

Explanation:

The mean (μₓ) and standard deviation of the sample mean (σₓ) are related to the mean (μ) and standard deviation of the population (σ) through the following relationship

μₓ = μ = 225.8

σₓ = σ/√n = 17.8/√25 = 17.8/5 = 3.56