Question

Three assembly lines are used tom 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. Then 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          
Variation SS df MS F p-value
Between 12.33333 2 6.16667 11.32653 0.00101
Within 8.166666 15 0.54444    
20.499997 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 A and line C.