Earlier, we investigated a situation where the actual amount of cheese on medium sized Margherita Pan Pizzas varies from its intended amount of 200 g of mozzarella cheese. Through much testing, Pizza Hat has determined that the amount of cheese on these pizzas are normally distributed with a mean of 201.5 g and a standard deviation of 2.3 g of cheese. (a) What is the probability that a randomly selected pizza has less than 202 g of cheese? Round to 4 decimal places. 0.5860 (b) After customers' concerns about pizzas containing too little cheese, the manager wants to know what percentage of pizzas have more than 200 g of cheese. What is this percentage? 0.7429 (c) What is the 70th percentile of cheese amounts? Round to the nearest hundredth. 202.71 (d) If the top and bottom 12.5% of pizzas will be rejected based on the amount of cheese on it, what are the cutoff values for this? Round to one decimal place. Answer: Pizzas between 198.9 and 204.1 of cheese will not be rejected. (e) If 72 pizzas are randomly selected, what is the mean and standard deviation of the sampling distribution ? Round to one decimal place. 201.5 = 0.3 (f) If 72 pizzas are randomly selected, what is the probability that the mean cheese amount is less than 202 g? Round to four decimal places. 0.9675 (g) If 72 pizzas are randomly selected, what is the probability that the mean cheese amount is at least 201.5 g? 0.5