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:

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 LineC.

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Summary Groups Line A Line B Line C Count 6 6 6 Sum 250 260 249 Average 41.66667 43.33333 41.5 Variance 0.266667 0.666667 0.7 ANOVA Source of Variation Between Groups Within Groups df MS 6.166667 0.544444 p-value 0.001005 12.33333 11.32653 8.166667 20.5 15 17 Total