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 0.01 significance level, can we conclude there is a difference in the mean production rate by shift or by employee?
from tretmant: reject H0 if F>
from block:Reject H0 if F>
2.What is your conclusion?
In order to test whether there is a difference in the mean production rate by shift or by employee, two-factor ANOVA is appropriate.
Here, the column represents treatments and row represents blocks.
Step-by-step procedure to perform two-factor ANOVA using excel:
The output obtained is as follows.
Decision regarding H0:
There is no difference in the mean production rate by shift.
There is no difference in the mean production rate by employee.
There is difference in the mean production rate by shift.
There is difference in the mean production rate by employee.
Critical value for treatment:
The critical value for treatment is obtained as 8.6491 using the excel formula, “=F.INV.RT(0.01,2,8)&rdqu...
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