Completion of three activities is required to accomplish a job. The administrator would like to know if differences in the arrangement of the three activities results in different job accomplishment times. He selects three workers and demonstrates the activities in random order to them. Then each worker accomplishes the job with each of the activity arrangements. The completion times are recorded. The following table shows the minutes for each worker to accomplish each job.  Arrangements   Workers                           Time Consumed (minutes)                             Mr. X Mr. Y Mr. Z A                           22.4 18.6 21.5 B                           19.2 20.2 20.7 C                           20.3 17.0 20.4 Using one percent level of significance, answer following questions: i. Is there a difference in job accomplishment times among different arrangements? ii. Is there a difference in job accomplishment times between the workers?

Practical Management Science
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Author:WINSTON, Wayne L.
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Completion of three activities is required to accomplish a job. The administrator would like
to know if differences in the arrangement of the three activities results in different job
accomplishment times. He selects three workers and demonstrates the activities in random order
to them. Then each worker accomplishes the job with each of the activity arrangements. The
completion times are recorded. The following table shows the minutes for each worker to
accomplish each job. 

Arrangements   Workers

                          Time Consumed (minutes)
                            Mr. X Mr. Y Mr. Z
A                           22.4 18.6 21.5
B                           19.2 20.2 20.7
C                           20.3 17.0 20.4

Using one percent level of significance, answer following questions:
i. Is there a difference in job accomplishment times among different arrangements?
ii. Is there a difference in job accomplishment times between the workers?

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