If random samples,each with n = 36 scores,are selected from a normal population with µ = 80 and σ = 18,how much difference,on average,should there be between a sample mean and the population mean?
A)2 points
B)3 points
C)6 points
D)18 points

Question

If random samples,each with n = 36 scores,are selected from a normal population with µ = 80 and σ = 18,how much difference,on average,should there be between a sample mean and the population mean?​
A)2 points​
B)​3 points
C)​6 points
D)​18 points

Quizplus · Accepted Answer

The standard error of the mean (SEM) can be calculated using the formula σ/√n, where σ is the population standard deviation and n is the sample size. In this case, the SEM is 18/√36 = 3. Therefore, we can expect that on average, a sample mean will differ from the population mean by about 3 points. This is because the sample mean is an estimate of the population mean and will likely differ to some extent due to random sampling error. The larger the sample size, the smaller the SEM and the closer the sample mean will be to the population mean.

If Random Samples,each with N = 36 Scores,are Selected from a Normal