Use the following information for Exercises 12 and 13. A soft drink company recently performed a major overhaul of one of its bottling machines. Management is eager to determine whether the overhaul has resulted in an increase in productivity for the machine. One hundred “minute segments” are sampled at random from the updated machine (sample 1) and a machine that was not updated (sample 2), and the number of bottles processed is noted. The mean and standard deviation of the number of bottles processed by each machine is given in the table.