Question
Three assembly lines are used to produce a certain component for an airline. To examine the product rate, a random sample of six hourly periods
Three assembly lines are used to produce a certain component for an airline. To examine the product rate, a random sample of six hourly periods is chosen for each assembly 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 | 0.666667 |
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% confidence interval for the difference in the means between Line B and Line C.
Class is: EC315 Quantitative Research Methods
Book: Basic Statistics for Business & Economics
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