Do think pairing on technicians was worthwhile in this case

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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.

Techician 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)?

Reference no: EM131028773

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