Question

Suppose you randomly select a sample of 16 observations from a population with =11 and =2 You find ⎯⎯⎯=9. The sampling error is _____ -2 2 -1 1

Answer 1

- 2

Explanation:

Given that :

Population mean, μ = 11

Population standard deviation, σ = 2

Sample mean, xbar = 9

Sample size, n = 16

The sampling error could be explained as the variation or difference which exists in statistical measure of the population and sample as the sample data does not totally or wholly represent the population data. This difference in sample and population mean is called sampling error.

Hence, the sampling error in the above scenario can be obtained thus :

Sampling error = (xbar - μ)

Sampling error = 9 - 11 = - 2