A pizza chain monitors the total weight of pepperoni that goes on its deluxe pepperoni pizzas to make sure customers are satisfied and product isn't being wasted. Suppose that for pizzas in this population, these weights are strongly skewed to the left with a mean of 250\,\text{g}250g250, start text, g, end text and a standard deviation of 8\,\text{g}8g8, start text, g, end text. Management takes a random sample of 646464 of these pizzas and calculates the mean weight of the pepperoni on the pizzas. Assume that the pizzas in the sample are independent.