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 operators?  Number of Defects Produced per Day   Operator A Operator B Machine A 99 55 00 33 66 44 99 44 Machine B 00 99 11 66 33 99 11 66 Machine C 33 33 99 55 11 66 77 99  ANOVA Source of Variation SSSS dfdf MSMS Machine 4.08334.0833 22 2.04172.0417 Operator 16.666716.6667 11 16.666716.6667 Interaction 70.583370.5833 22 35.291735.2917 Within 128.5000128.5000 1818 7.13897.1389 Total 219.8333219.8333 2323     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 operators and state the conclusion in terms of the original problem. Be sure to test for interaction first. Use α=0.10

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 operators?
 
Number of Defects Produced per Day
  Operator A Operator B
Machine A 99 55
00 33
66 44
99 44
Machine B 00 99
11 66
33 99
11 66
Machine C 33 33
99 55
11 66
77 99

 
ANOVA
Source of Variation SSSS dfdf MSMS
Machine 4.08334.0833 22 2.04172.0417
Operator 16.666716.6667 11 16.666716.6667
Interaction 70.583370.5833 22 35.291735.2917
Within 128.5000128.5000 1818 7.13897.1389
Total 219.8333219.8333 2323  
 
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 operators and state the conclusion in terms of the original problem. Be sure to test for interaction first. Use α=0.10
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