A plant manager, in deciding whether to purchase a machine

Chapter 12, Problem 15E

(choose chapter or problem)

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.

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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