A government food inspector in USA was tasked with estimating the average net weight of ground beef packs labeled "3 kilos". Of course, the weights cannot be exactly 3 pounds is known. A sample of 16 packs reveals that the average weight is 3.01 kg and the standard deviation is 0.03 kg

a) What is the estimated audience average? b) Calculate the lower limit and upper limit for the population average with 5% risk. c) Is it reasonable to claim that the average weight is 3.5 kilograms? d) If you want to estimate the average weight of the population with 0.002 error and 95% confidence, what sample size is required?