A population has a mean of 50 and a standard deviation of 10. A researcher takes 100 random samples, each with a sample size of 30, from this population. What is the expected value of the mean of the sample means? A. The expected value of the mean of the sample means is 50. B. The expected value of the mean of the sample means is 10 C. The expected value of the mean of the sample means cannot be calculated without additional information D. The expected value of the mean of the sample means is 30
1 answer
The expected value of the mean of the sample means, also known as the sampling distribution of the sample mean, is equal to the population mean. In this case, the population mean is given as 50.
Therefore, the correct answer is:
A. The expected value of the mean of the sample means is 50.
