All the possible samples of n = 3 scores are selected from a population with $\mu$ = 30 and $\sigma$ = 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

Since the population mean is 30 and the sample size is only 3, the sample means will fluctuate around the population mean. Therefore, the average of all sample means will also be 30.

All the Possible Samples of N = 3 Scores Are μ\muμ

All the Possible Samples of N = 3 Scores Are $\mu$