Preliminary Data Analyses Indicate That It Is Reasonable to Consider $\text { Use } \alpha = 0.01 \text {. }$

Essay

Preliminary data analyses indicate that it is reasonable to consider the assumptions for one-way ANOVA satisfied.Perform the required hypothesis test using the critical-value approach.
-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. Do the data indicate that there is a difference in mean lifetime for the three brands of ballpoint pens? Us $\text { Use } \alpha = 0.01 \text {. }$