28. Three assembly lines are used to produce a certain component for an airliner

Question

28. Three assembly lines are used to produce a certain component for an airliner. To exam-ine the production rate, a random sample of six hourly periods is chosen for each assem-bly line and the number of components produced during these periods for each line is recorded. The output from a statistical software package is: Summary
Groups          Count             Sum             Average          Variance
Line A                6                250             41.66667          0.266667
Line B                6                260             43.33333          0.666667
Line C                6                249             41.5                0.7 ANOVA
Source of Variation          SS          df         MS             F                   p- value
Between Groups          12.33333      2       6.166667    11.32653      0.001005
Within Groups             8.166667     15      0.544444
Total                               20.5          17 a. Use a .01 level of significance to test if there is a difference in the mean production of the three assembly lines. b. Develop a 99 percent confidence interval for the difference in the means between Line B and Line C.
28. Three assembly lines are used to produce a certain component for an airliner. To exam-ine the production rate, a random sample of six hourly periods is chosen for each assem-bly line and the number of components produced during these periods for each line is recorded. The output from a statistical software package is: Summary
Groups          Count             Sum             Average          Variance
Line A                6                250             41.66667          0.266667
Line B                6                260             43.33333          0.666667
Line C                6                249             41.5                0.7 ANOVA
Source of Variation          SS          df         MS             F                   p- value
Between Groups          12.33333      2       6.166667    11.32653      0.001005
Within Groups             8.166667     15      0.544444
Total                               20.5          17 a. Use a .01 level of significance to test if there is a difference in the mean production of the three assembly lines. b. Develop a 99 percent confidence interval for the difference in the means between Line B and Line C. a. Use a .01 level of significance to test if there is a difference in the mean production of the three assembly lines. b. Develop a 99 percent confidence interval for the difference in the means between Line B and Line C.

Explanation / Answer

1. Since the p value from the ANOVA test is less than the level of significance (.001005

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