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In a factory manufacturing electronic components there are four machine operators and five machines producing similar items. The quality of the components having been quite variable, an experiment was conducted to determine whether the variability was caused by differences between machines, differences between operators or both. The production was observed for each shift, with each operator using each of the five machines for a whole shift. The quality of the components produced during any shift was assessed by quality control inspectors on a scale of 0 to 100, with 100 corresponding to perfect quality and 0 to useless material. The results were as given in the following table. Machine Operator A B CDE ..... 1 56 92 53 93 68 2 64 83 55 95 62 3 62 80 56 96 62 4 51 78 44 88 69 Carry out an appropriate analysis of variance, and test for differences between operators and between machines.

In a factory manufacturing electronic components there are four machine operators and five machines producing similar items. The quality of the components having been quite variable, an experiment was conducted to determine whether the variability was caused by differences between machines, differences between operators or both. The production was observed for each shift, with each operator using each of the five machines for a whole shift. The quality of the components produced during any shift was assessed by quality control inspectors on a scale of 0 to 100, with 100 corresponding to perfect quality and 0 to useless material. The results were as given in the following table. Machine Operator A B CDE ..... 1 56 92 53 93 68 2 64 83 55 95 62 3 62 80 56 96 62 4 51 78 44 88 69 Carry out an appropriate analysis of variance, and test for differences between operators and between machines.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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In a factory manufacturing electronic components there are four machine operators and five machines producing similar items. The quality of the components having been quite variable, an experiment was conducted to determine whether the variability was caused by differences between machines, differences between operators or both. The production was observed for each shift, with each operator using each of the five machines for a whole shift. The quality of the components produced during any shift was assessed by quality control inspectors on a scale of 0 to 100, with 100 corresponding to perfect quality and 0 to useless material. The results were as given in the following table. Machine Operator A B CDE 1 56 92 53 93 68 2 64 83 55 95 62 62 3 62 80 56 96 4 51 78 44 88 69 Carry out an appropriate analysis of variance, and test for differences between operators and between machines.
Transcribed Image Text:In a factory manufacturing electronic components there are four machine operators and five machines producing similar items. The quality of the components having been quite variable, an experiment was conducted to determine whether the variability was caused by differences between machines, differences between operators or both. The production was observed for each shift, with each operator using each of the five machines for a whole shift. The quality of the components produced during any shift was assessed by quality control inspectors on a scale of 0 to 100, with 100 corresponding to perfect quality and 0 to useless material. The results were as given in the following table. Machine Operator A B CDE 1 56 92 53 93 68 2 64 83 55 95 62 62 3 62 80 56 96 4 51 78 44 88 69 Carry out an appropriate analysis of variance, and test for differences between operators and between machines.
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