Suppose a population distribution of SAT scores has population mean 500 and population standard deviation 100. What is the mean of the sampling distribution of sample means, ybar , calculated from samples of size n = 36

To find the mean of the sampling distribution of sample means, we can use the formula:

mean of sampling distribution (μybar) = population mean (μ) = 500

The mean of the sampling distribution is equal to the population mean. In other words, the average of all sample means will be equal to the population mean.

So, in this case, the mean of the sampling distribution of sample means (ybar) calculated from samples of size n = 36 would be 500.