Question: Suppose a sample of n = 50 items is drawn from a population of manufactured products and the weight, x, of each item is recorded. Prior experience has shown that the weight has a mean of 6 ounces and standard deviation of 2.5 ounces.

a) What is the shape of the sampling distribution of ?

b) What is the mean and standard deviation of the sampling distribution?

c) How would the sampling distribution of change if the sample size, n, were increased from 50 to 100?