What is the mean of a sampling distribution of sample means if a population has a mean of 8.5?

Question

1.What is the mean of a sampling distribution of sample means if a population has a mean of 8.5?

2.What is the mean of a population if the mean of the sampling distribution of sample means is 5.16?

3.If a population has a variance of 4.17 and samples of sampling distribution with sample size of 2 are drawn with replacement, what is the variance of the sampling distribution of sample means?

Answer 1

The mean of the distribution of sample means is equal to the population mean, so 1. 8.5 and 2. 5.16

The variance of the sampling distribution of sample means is the population variance / sample size, so 3. 4.17/2 = 2.085