Problem 1: (50 points) To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the data on the time needed to mix the material (in minutes). Test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use a=0.1 (what is your conclusion?) Note : show your work in detail Manufacturer 1 Manufacturer 2 Manufacturer 3 20 28 19 26 26 20 24 31 21 22 27 18 Problem 2: (50 points) A study investigated the perception of corporate ethical values among individuals specializing in marketing . Use a=0.05 and the below data to test for significant differences in perception among groups (what is your conclusion?) Note : show your work in detail 6 Marketing managers Marketing research Advertising 5 6 5 7 6 4 6 4 4 5 4