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 6 250 41.66667 0.266667
Line B 6 260 43.33333 0.666667
Line C 6 249 41.5 0.7
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..