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Question: A bottle cap manufacture with four machines and three operators wants to see if variation in hourly production is due to the machines and/or the operators or an interaction effect of machine and operator. Each operator is assigned to each machine and the production of caps from 3 randomly selected hours is recorded. The analysis shows the following Analysis of Variance table.
Source
Sum of Squares
df
Mean Square
Machines
114
Operators
115
Interaction
100
Error
54
Total
383
Answer these questions.
What are the degrees of freedom for the machines, operators, interaction and error?
What is the critical value of F for the machine effect at the 1% level of significance?
What is the mean square for machines, operators, interaction and error?
What is the computed value of F for the machines?
What is the computed value of F for the operators?
Using a 1% significance level, what is the decision for the machines?
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