Three assembly lines are used to produce a certain component for an airliner. To examine the production

Three assembly lines are used to produce a certain component for an airliner. To examine the production 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 6 256 42.66667 0.263597 Line B 6 255 42.50000 0.200404 Line C 6 243 40.50000 0.553051 ANOVA Source of Variation SS df MS F p-value Between Groups 8.574402 2 4.287201 5.640740 0.014904 Within Groups 11.400632 15 0.760042 Total 19.975034 17 (a) Use a 0.01 level of significance to test if there is a difference in the mean production of the three assembly lines. (Round your answer to 2 decimal places.). (b) Develop a 99% confidence interval for the difference in the means between Line B and Line C. (Round your answers to 2 decimal places.)