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?(1 point) Responses The expected value of the mean of the sample means is 10. The expected value of the mean of the sample means is 10. The expected value of the mean of the sample means is 30. The expected value of the mean of the sample means is 30. The expected value of the mean of the sample means cannot be calculated without additional information. The expected value of the mean of the sample means cannot be calculated without additional information. The expected value of the mean of the sample means is 50.
1 answer
The expected value of the mean of the sample means (also known as the sample mean's expected value) is equal to the population mean. In this case, since the population has a mean of 50, the expected value of the mean of the sample means is also 50.
Therefore, the correct response is: The expected value of the mean of the sample means is 50.
