All the possible samples of n = 3 scores are selected from a population with µ = 30 and Ϭ = 5 and the mean is computed for each of the samples.If the average is calculated for all of the sample means,what value will be obtained?
A)30
B)Greater than 30
C)Less than 30
D)Impossible to predict

Question

Quizplus · Accepted Answer

The sample means are calculated from a population with a known mean of 30. Since every possible sample of n = 3 is taken, the sample means will follow a normal distribution with a mean equal to the population mean (i.e., 30). Therefore, the average of all the sample means will also be 30.

All the Possible Samples of N = 3 Scores Are