The Sacred Grounds coffee shop in the Deadhorse, AK, is considering replacing its coffee brewing units with the new German brewers. You have been assigned to examine this proposal. Make a 99% confidence interval for average yield (cups per pound) for new German coffee brewer. The margin of error must be no bigger than .3 (three-tenths of a cup). Based upon experience with current system, your best guess for the population standard deviation is 1.2 cups. How big the sample do you need?