The plant manager in a manufacturing company wants to know whether the morning productivity is higher than the afternoon productivity. He collected the productivity numbers for 10 workers on a certain day and summarized them in the following table. Assume that the productivity numbers do not follow a normal distribution. Do a test to determine whether morning productivity is higher. Use 5 percent.

(a) Do the test assuming that each of the 10 pairs of numbers belongs to a certain worker.

(b) Do the test assuming that we do not know to whom the 10 numbers in the morning and the 10 numbers in the afternoon belong.

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Morning productivity 34 32 29 30 42 45 44 43 32 45 Afternoon productivity 35 33 31 36 41 33 42 39 31 40