A soda bottling machine is filling 32 oz. soda cans. We observe the machine filling 35 bottles (picked at random) and obtain the following data:

32.12 32.04 32.04 32 32.01 32.12 32.05
32.13 32.05 32.05 31.72 32.08 32.03 31.95
32.02 32.22 32.22 32.22 31.89 32.2 32.22
31.73 31.95 31.95 32.07 32.13 32.13 31.73
31.98 32.21 32.21 31.97 32.09 31.97 32.12

As a bottler we want to know if the machine was underfilling. Setup Null and Alternate hypotheses to test if average amount of soda in each can is less than 32 oz. Please test the hypothesis using a = 0.05. What can you conclude from all this?