Three machines produce the same part. Ten different machine operators work these
ID: 3226021 • Letter: T
Question
Three machines produce the same part. Ten different machine operators work these machines. A quality team wants to determine whether the machines are producing parts that are significantly different from each other in weight. The team devises an experimental design in which a random part is selected from each of the 10 machine operators on each machine. The results follow. Using alpha of .05, test to determine whether there is a difference in machines.
234
the treatment populations are equal / the treatment populations are not equal
Determine the value of the test statistic
Operator Machine 1 Machine 2 Machine 3 1 231 229 234 2 233 232 231 3 229 233 230 4 232 235 231 5 235 228 232 6 234 237 231 7 236 233 230 8 230 229 227 9 228 230 22910
237
238
234
Explanation / Answer
applying two way ANOVA with blocks on above:
as P values in above is greater then 0.05 , we can not reject null hypothesis and can not conclude that there is a difference in machines
SUMMARY Count Sum Average Variance 1 3 694 231.3333 6.3333 2 3 696 232.0000 1.0000 3 3 692 230.6667 4.3333 4 3 698 232.6667 4.3333 5 3 695 231.6667 12.3333 6 3 702 234.0000 9.0000 7 3 699 233.0000 9.0000 8 3 686 228.6667 2.3333 9 3 687 229.0000 1.0000 10 3 709 236.3333 4.3333 Machine 1 10 2325 232.5 9.1667 Machine 2 10 2324 232.4 12.0444 Machine 3 10 2309 230.9 4.5444 ANOVA Source of Variation SS df MS F P-value F crit Operators 139.86667 9 15.54074 3.04278 0.02128 2.45628 Machines 16.066667 2 8.03333 1.57288 0.23466 3.55456 Error 91.933333 18 5.10741 Total 247.86667 29Related Questions
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