A consumer magazine wants to compare the lifetimes of ballpoint pens of three different types. The magazine takes a random sample of pens of each type in the following table. Brand 1 Brand 2 Brand 3...

A consumer magazine wants to compare the lifetimes of ballpoint pens of three different types. The magazine takes a random sample of pens of each type in the following table.

Test the claim that there is a difference in mean lifetime for the three brands of ballpoint pens, using α=0.01. Round you answer to 3 decimal places.