A plant manager, in deciding whether to purchase a machine of design A or design B

Chapter 12, Problem 12.15

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A plant manager, in deciding whether to purchase a machine of design A or design B, checks the times for completing a certain task on each machine. Eight technicians were used in the experiment, with each technician using both machine A and machine B in a randomized order. The times (in seconds) required to complete the task are given in the accompanying table. Technician A B 1 32 30 2 40 39 3 42 42 4 26 23 5 35 36 6 29 27 7 45 41 8 22 21 a Test to see if there is a significant difference between mean completion times, at the 5% significance level. b Do you think pairing on technicians was worthwhile in this case? Explain. c What assumptions are necessary for the test in part (a)?

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