Problem 1: An engineering class is taught with two sections. The same test was administered to different students in both sections. The scores for eight randomly selected students from section I and eight students' section II is given below. (Write out all steps of hypothesis testing as well as solve in MATLAB) a) What statistical testing will you use in this case and why? b) Use a formal test of hypothesis to determine if you can conclude the average test score for section II is greater than section l? Use a=0.05. c) Determine the range of p-values OR interpolate to calculate the actual p-value. d) Determine the appropriate one-sided confidence interval for this case. What can you conclude about your hypothesis from the confidence interval? Problem 2: in a process for manufactucing chiorine C2, hydrogen chloride (HCl) and oxygen (O2) are reacted as per the following reaction in a continuous reactor HCl+O2Cl2+H2O 35% excess air is provided to the process and the conversion of HCl is 85%. Assume a basis flow of 100mol/s of hydrogen chloride a. Draw cleaty labeled flow diagram showing the different streams. b. Perform a degree of freedom analysis for this problem C. Using ilinear algebra setup and solve the problem to determine the amounts of products