A chemical engineer is studying a process of making gasoline from renewable biomass resources. Nine runs with the same catalyst produce the following yields in gallons: 0.63, 2.64, 1.85, 1.68, 1.09, 1.67, 0.73, 1.04, 0.68 Assuming the yield follows a normal distribution, construct a 95% confidence interval for the conversion process. Repeat the previous problem to construct a 99% confidence interval for the conversion process. Comment briefly on the relative size of the intervals.A chemist is checking the output from a batch reaction for an undesirable byproduct, which can cause problems if present in large enough quantity. If he takes ten samples, (a) Calculate the maximum error of estimate asserted with 95% condence if he can assume from prior experience that the standard deviation 0 for such measurements is 100 micrograms per liter (b) Calculate the maximum error of estimate asserted with 95% condence if or is unknown and he uses the sample standard deviation 3 which is 90 micrograms per liter For the previous problem, if the chemist can still assume that 0 for such measurements is 100 micrograms per liter, how many samples should he be taking if he wants to assert with 95% condence that his maximum error of estimate is 50 micrograms per liter