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Homework answers / question archive / A supervisor of a manufacturing plant is interested in relating the average number of defects produced per day to two factors: the operator working the machine and the machine itself

A supervisor of a manufacturing plant is interested in relating the average number of defects produced per day to two factors: the operator working the machine and the machine itself

Statistics

A supervisor of a manufacturing plant is interested in relating the average number of defects produced per day to two factors: the operator working the machine and the machine itself. The supervisor randomly assigns each operator to use each machine for three days and records the number of defects produced per day. Is there sufficient evidence to conclude that there is a significant difference among the average number of defects produced per day for the different machines?

Number of Defects Produced per Day
  Operator A Operator B
Machine A 9 8
7 9
7 3
6 5
Machine B 5 5
2 1
2 4
2 7
Machine C 5 0
6 7
9 0
2 0
ANOVA
Source of Variation SSSS dfdf MSMS
Total 203.6250 23  
Machine 54.2500 2 27.1250
Operator 7.0417 1 7.0417
Interaction 27.5833 2 13.7917
Within 114.7500 18 6.3750

Step 1 of 2:

Find the value of the test statistic for testing the difference among the average number of defects produced per day for the different machines. Round your answer to two decimal places, if necessary.

Step 2 of 2:

Make the decision to reject or fail to reject the null hypothesis of equal average number of defects produced per day for the different machines and state the conclusion in terms of the original problem. Be sure to test for interaction first. Use α=0.05

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