An agricultural engineer is designing an experiment on crop production. From previous studies, it is known that one acre of farmland in Northern Colorado will produce approximately 30-40 bushels of wheat and from previous studies, wheat production is known to have a population standard deviation output of 3.6 bushels/acre. (a) If it is desired to create a 95% confidence interval for the true mean output of bushels/acre of wheat with a margin of error of 1 bushel/acre, what is the minimum required sample size? (a) If it is desired to create a 99% confidence interval for the true mean output of bushels/acre of wheat with a margin of error of 0.5 bushel/acre, what is the minimum required sample size?.