A sample of n = 16 scores is selected from a population with μ = 80 with σ = 20.On average,how much error would be expected between the sample mean and the population mean?
A)20 points
B)5 points
C)4 points
D)1.25 points

Question

A sample of n = 16 scores is selected from a population with μ = 80 with σ = 20.On average,how much error would be expected between the sample mean and the population mean?​
A)​20 points
B)​5 points
C)​4 points
D)​1.25 points

Quizplus · Accepted Answer

The expected error between the sample mean and the population mean can be calculated using the standard error of the mean formula, which is σ/√n. Here, σ = 20 and n = 16. So, the standard error = 20/√16 = 20/4 = 5 points. This indicates, on average, how much the sample mean is expected to deviate from the population mean.

A Sample of N = 16 Scores Is Selected from a Population