A sample of n = 100 scores is selected from a population with μ = 80 with σ = 20.On average,how much error is expected between the sample mean and the population mean?
A)0.2 points
B)0.8 points
C)2 points
D)4 points

Question

A sample of n = 100 scores is selected from a population with μ = 80 with σ = 20.On average,how much error is expected between the sample mean and the population mean?​
A)0.2 points​
B)​0.8 points
C)​2 points
D)​4 points

Quizplus · Accepted Answer

The standard error of the mean (SEM) can be calculated by dividing the population standard deviation by the square root of the sample size. In this case, the SEM would be 20/√100 = 2. This means that we would expect, on average, a difference of 2 points between the sample mean and the population mean. Therefore, the best choice is C) 2 points.

A Sample of N = 100 Scores Is Selected from a Population