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 4H6667 0.266667

Line B 6 260 43.33333 0.666667

Line C 6 249 41.5 0.7

ANOVA

Source of Variationss dfMS 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 0.01 level of significance to test if there is a difference in the mean production of the three assembly lines.

Compute the critical value. (Round your answer to 2 decimal places.)

The critical value is F =________

State the decision regarding the null hypothesis.

Decision:__________HO Conclude that at least one mean production rate is different.

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.)

The confidence interval is from_______ to__________

Decision: _______ __________1