If all the possible random samples with n = 36 scores are selected from a normal population with µ = 80 and σ = 18,and the mean is calculated for each sample,what is the average of all the sample means?
A)2
B)6
C)80
D)Cannot be determined without additional information

Question

Quizplus · Accepted Answer

According to the Central Limit Theorem, the distribution of sample means will be normal with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size. Therefore, the average of all possible sample means will be equal to the population mean, which is 80.

If All the Possible Random Samples with N = 36