Chapin Manufacturing Company operates 24 hours a day, five days a week. The work

Question

Chapin Manufacturing Company operates 24 hours a day, five days a week. The workers rotate shifts each week. Management is interested in whether there is a difference in the number of units produced when the employees work on various shifts. A sample of five workers is selected and their output recorded on each shift. At the 0.05 significance level, can we conclude there is a difference in the mean production rate by shift or by employee?

Chapin Manufacturing Company operates 24 hours a day, five days a week. The workers rotate shifts each week. Management is interested in whether there is a difference in the number of units produced when the employees work on various shifts. A sample of five workers is selected and their output recorded on each shift. At the 0.05 significance level, can we conclude there is a difference in the mean production rate by shift or by employee?

Explanation / Answer

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For treatments: Reject Ho if F >4.46 (from F table)

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For blocks: Reject Ho if F>3.84 (from F table)

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There is no difference in the mean production rate.

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There is no difference in the mean production rate.

ANOVA table Source SS    df MS F    p-value Treatments 93.73 2 46.867 1.27 .3323 Blocks 151.60 4 37.900 1.03 .4498 Error 295.60 8 36.950 Total 540.93 14

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