The chefs at a local pizza chain in Cambria, California, strive to maintain the suggested size of their 16-inch pizzas. Despite their best efforts, they are unable to make every pizza exactly 16 inches in diameter. The manager has determined that the size of the pizzas is normally distributed with a mean of 16 inches and a standard deviation of 0.8 inch.

a. What is the expected value and the standard deviation of the sample mean derived from a random sample of 2 pizzas?

b. What is the expected value and the standard deviation of the sample mean derived from a random sample of 4 pizzas?

c. Compare the expected value and the standard deviation of the sample mean with those of an individual pizza. L056