Suppose the true proportion of voters in the county who support a school levy is 0.65. Consider the sampling distribution for the proportion of supporters with sample size n = 166. What is the mean of this distribution?  What is the standard error of this distribution?

Let's examine the mean of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 by drawing samples from these values, calculating the mean of each sample, and then considering the sampling distribution of the mean. To do this, suppose you perform an experiment in which you roll an eight-sided die two times (or equivalently, roll two eight-sided dice one time) and calculate the mean of your sample. Remember that your population is the numbers 1, 2, 3, 4, 5, 6, 7, and 8. The true mean (µ) of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 is , and the true standard deviation (o) is The number of possible different samples (each of size n = 2) is the number of possibilities on the first roll (8) times the number of possibilities on the second roll (also 8), or 8(8) = 64. If you collected all of these possible samples, the mean of your sampling distribution of means (µM) would equal and the standard deviation of your sampling distribution of means (that is, the standard error or ɑm) would be The following chart…

Can you please explain to me a good example of what the mean of sampling distribution is?

Suppose the true proportion of voters in the county who support a school levy is 0.61. Consider the sampling distribution for the proportion of supporters with sample size n = 187.What is the mean of this distribution? What is the standard error (i.e. the standard deviation) of this sampling distribution, rounded to three decimal places?