1. A novel process for making organic gas takes biomass in the form of sucrose and converts it into gasoline using catalytic reactions. In one step in a pilot plant process, a chemical engineer measures the output of carbon chains of length three. Nine runs with the same catalyst gave the yields (gal).
0.63 2.64 1.85 1.68 1.09 1.67 0.73 1.04 0.68
What can the chemical engineer say with 95% confidence about the maximum error, if he uses the sample mean to estimate the true average yield medium?
2. With reference to the previous exercise, assume that the yield has a normal distribution and a 95% confidence interval for the average mean of the pilot plant process.