Mathematical Statistics with Applications
Mathematical Statistics with Applications
7th Edition
ISBN: 9780495110811
Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer
Publisher: Cengage Learning
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Chapter 12.3, Problem 15E

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.

Chapter 12.3, Problem 15E, A plant manager, in deciding whether to purchase a machine of design A or design B, checks the times

  1. a Test to see if there is a significant difference between mean completion times, at the 5% significance level.
  2. b Do you think pairing on technicians was worthwhile in this case? Explain.
  3. c What assumptions are necessary for the test in part (a)?
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