Sampling Distributions Suppose all possible samples of size 10 are taken from the population of American women and a distribution of sample mean shoe sizes is constructed. 6. What is the mean and standard deviation of the sampling distribution of sample means? 7. If a sample of 10 women is randomly chosen, what is the probability that the sample mean shoe size is less than 7.5? 8. If a sample of 10 women is randomly chosen, what is the probability that the sample mean shoe size is greater than 9? 9. Suppose that you take a larger sample of 100 women. Now what is the probability that the sample mean shoe size is less than 7.5