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Incentive Pay Narrative
A company conducted an experiment to determine the effect of two types of incentive pay plans on worker productivity for workers of two shifts. The company used an equal number of production workers from each of the two shifts and one-half of these workers were assigned to each plan. Then five workers from each pay plan-shift combination were selected and their productivity (in number of items produced) recorded for a one-week period.
The following output was generated using statistical software:
Two-way analysis of variance
-The data that follow are observations collected from an experiment that compared four treatments, A, B, C, and D, within each of three blocks, using a randomized block design.
Treatment
a. Do the data present sufficient evidence to indicate differences among the treatment means? Test using = 0.05.
b. Do the data present sufficient evidence to indicate differences among the block means? Test using = 0.05.
c. Find a 95% confidence interval for the difference in means for treatments A and B.
d. Does it appear that the use of a randomized block design for this experiment was justified? Explain.
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