When sampling from a normal population such as SAT scores, the distribution of the sample means will also have a normal distribution with the same mean; but, the variability in sample means will be less than the variability in individuals (similar to how variability in sample proportions will be less than the variability in individuals). There are mathematical formulas we can use to find the mean and standard deviation of the sampling distribution of the sample mean for samples of size n: Mean of the sampling distribution of the sample mean = μ Standard deviation of the sampling distribution of the sample mean = In the formulas above, u and o represent the mean and standard deviation of the original population, 1060 and o= 195. respectively. For the population distribution of the individual SAT scores, μ = Hint Use the formulas above to calculate the mean and standard deviation of the sample mean SAT scores for samples of size 10. Mean - σ These values should be close to the simulated mean and standard dev