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.

Updated machine
non-updated machine

Question 10.220

13. Refer to the previous exercise.

  1. Test, at level of significance , whether is greater than .
  2. Explain whether the confidence interval in Exercise 12 could have been used to perform the hypothesis test in (a). Why or why not?