Exercise 4 (16 marks) Two methods for measuring the molar heat of fusion of water are being compared. Ten measurements made by method A have a mean of 6.02 kilojoules per mole (kJ/mol) with a standard deviation of 0.02 (kJ/mol). Five measurements made by method B have a mean of 6.00 kJ/mol and a standard deviation of 0.01 kJ/mol. a) Can you conclude that the mean measurements for method A is greater than that of method B? b) Repeat this test based on the knowledge of equal variability. c) Find an 80% two sided confidence interval based on the knowledge of equal variability. Exercise 5 (12 marks) Two microprocessors are compared on a sample of six benchmark codes to determine whether there is a difference in speed. The times (in seconds) used by each processor on each code are given in the following table. Code 1 2 3 4 5 6 Processor A 27.2 18.1 27.2 19.7 24.5 22.1 Processor B 24.1 19.3 26.8 20.1 27.6 29.8 are the same? a) Can you conclude that the mean speeds of the two processors b) Verify your result in part a) using the appropriate confidence interval.